ICM Technical Reports submitted by Dr. Richard S. Varga:
http://icm.mcs.kent.edu/reports/search.php?pattern=Varga

All articles published in ETNA (Electronic Transactions on Numerical Analysis) are linked online, below, in the list of publications.

1. Matrix Iterative Analysis, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962, 322 pp. MR 28, # 1725. Zbl. 133, p. 86.

2. Functional Analysis and Approximation Theory in Numerical Analysis, CBMS-NSF Regional Conference Series in Applied Math. #3, Society for Industrial and Applied Mathematics, Philadelphia, 1971, 76 pp. MR 46, # 9602. Zbl. 226.65064.  Buy at Amazon.com

3. Topics in Polynomial and Rational Interpolation and Approximation, University of Montreal Press, 1982, 136 pp. MR 83h:30041. Zbl. 484.30023. Buy at Amazon.com

4. Zeros of Sections of Power Series, Lecture Notes in Mathematics 1002, Springer-Verlag, Heidelberg, 1983, 115 pp., jointly with A. Edrei and E. B. Saff. MR 85g:30007. Zbl. 507.30001.

5. Scientific Computation on Mathematical Problems and Conjectures, CBMS-NSF Regional Conference Series in Applied Math., #60, Soc. for Industrial and Applied Mathematics, Philadelphia, 1990, 122 pp. MR 92b:65012, SIAM Reviews 35(1993), 318-320, Zbl. 703.65004. Buy at Amazon.com

6. Matrix Iterative Analysis, Second Revised and Expanded Edition, Springer-Verlag, Heidelberg, 2000. MR2001g:65002. Buy at Amazon.com

7. Geršgorin and His Circles, Springer-Verlag, Heidelberg, 2004. Buy at Amazon.com
Click here for a list of Corrections for this book

1. Richard S. Varga, Semi-infinite and infinite strips free of zeros, Rend. Sem. Mat. Univ. e. Politec. Torino 11 (1952), 289-296. MR 14, p. 546. Zbl. 47, p. 315.
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2. Richard S. Varga, Eigenvalues of circulant matrices, Pacific J. Math. 4 (1954), 151-160. MR 15, p. 745. Zbl. 55, p. 10.
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3. Richard R. Goldberg and Richard S. Varga, Moebius inversion of Fourier transforms, Duke Math. J. 24 (1956), 553-559. MR 18, p. 304. Zbl. 72, p. 117.
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4. Richard S. Varga, Numerical solution of the two-group diffusion equations in x-y geometry, IRE Trans. on Nuclear Science 4 (1957), 52-62. MR 21, p. 1707.
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5. Richard S. Varga, A comparison of the successive overrelaxation method and semi-iterative methods using Chebyshev polynomials, J. Soc. Indust. Appl. Math. 5 (1957), 39-46. MR 19, p. 772. Zbl. 80, p. 107.
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6. H. L. Garabedian, R. S. Varga, and G. G. Bilodeau, Reactor response to reactivity changes during a xenon transient, Nuclear Sci. and Engrg. 3 (1958), 548-572.
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7. J. C. Holladay and Richard S. Varga, On powers of non-negative matrices, Proc. Amer. Math. Soc. 9 (1958), 631-634. MR 20, 3885. Zbl. 96, p. 8.
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8. Garrett Birkhoff and Richard S. Varga, Reactor criticality and non-negative matrices, J. Soc. Indust. Appl. Math. 6 (1958), 354-377. MR 20, 7407. Zbl. 86, p. 233.
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9. Elizabeth H. Cuthill and Richard S. Varga, A method of normalized block iteration, J. Assoc. Comput. Math. 6 (1959), 236-244. MR 22, 8651. Zbl. 88, p. 94.
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10. Garrett Birkhoff and Richard S. Varga, Implicit alternating direction methods, Trans. Amer. Math. Soc. 92 (1959), 13-24. MR 21, 4549. Zbl. 93, p. 312.
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11. Richard S. Varga, p-cyclic matrices: a generalization of the Young-Frankel successive overrelaxation scheme, Pacific J. Math. 9 (1959), 617-628. MR 21, 6085. Zbl. 88, p. 94.
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12. R. S. Varga and M. A. Martino, The theory for the numerical solution of time-dependent and time-independent multigroup diffusion equations, Proc. of the Second United Nations International Conference on the Peaceful Uses of Atomic Energy 16, pp. 570-577, Pergamon Press, London, 1959.
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13. Richard S. Varga, Orderings of the successive overrelaxation scheme, Pacific J. Math. 9 (1959), 925-939, MR 22, 4113. Zbl. 92, p. 128.
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14. Richard S. Varga, Factorization and normalized iterative methods, Boundary Problems in Differential Equations (R. E. Langer, ed. ), pp. 121-142, University of Wisconsin Press, Madison, 1960. MR 22, 12704. Zbl. 100, p. 125. 
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15. Richard S. Varga, Overrelaxation applied to implicit alternating direction methods. Information Processing, pp. 85-95, UNESCO, Paris, 1960. MR 26, 5719. Zbl. 115, p. 342. 
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16. Richard S. Varga, Numerical methods for solving multi-dimensional multigroup diffusion equations, Proceedings of Symposia in Applied Mathematics, Nuclear Reactor Theory, 11, pp. 164- 189. Amer. Math. Soc. , Providence, RI, 1961. MR 23, 3595. 
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17. Gene H. Golub and Richard S. Varga, Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and the second order Richardson iterative methods Part I, Numer. Math. 3 (1961), 147-156. MR 26, 3207. Zbl. 99, p. 109. 
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18. Gene H. Golub and Richard S. Varga, Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and the second order Richardson iterative methods Part II, Numer. Math. 3 (1961), 157-168. MR 26, 3208. Zbl. 99, p. 109. 
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19. Richard S. Varga, On higher order stable implicit methods for solving parabolic partial differential equations, J. Math. and Phys. 40(1961), 220-231. MR 25, 3613. Zbl. 106, p. 108. 
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20. Garrett Birkhoff , Richard S. Varga, and David Young, Alternating direction implicit methods, Advances in Computers 3 (F. Alt, ed. ), pp. 189-273, Academic Press, Inc., New York, 1962. MR 29, 5395. Zbl. 111, p. 314. 
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21. David G. Feingold and Richard S. Varga, Block diagonally dominant matrices and generalizations of the Gerschgorin Circle Theorem, Pacific J. Math. 12 (1962), 1241-1250. MR 27, 1458. Zbl. 109, p. 248. 
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22. Richard S. Varga, On variants of successive overrelaxation and alternating direction implicit methods, Information Processing (C. M. Popplewell, ed. ), pp. 203-204, North-Holland Publishing Co., Amsterdam, 1963. MR 26, 5719. Zbl. 156, p. 167.
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23. J. Douglas, Jr., R. B. Kellogg, and R. S. Varga, Alternating direction iteration methods for n space variables, Math. Comp. 17 (1963), 279-282. MR 28, 3545. Zbl. 114, p. 322. 
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24. D. S. Griffin and R. S. Varga, Numerical solution of plane elasticity problems, J. Soc. Indust. Appl. Math. 11 (1963), 1046-1062. MR 28, 3544. Zbl. 122, p. 189. 
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25. Louis A. Hageman and Richard S. Varga, Block iterative methods for cyclically reduced matrix equations, Numer. Math. 6 (1964), 106-119. MR 29, 4185. Zbl. 131, p. 141. 
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26. Richard S. Varga, On smallest isolated Gerschgorin disks for eigenvalues, Numer. Math. 6 (1964), 366-376. MR 30, 4379. Zbl. 131, p. 142. 
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27. Richard S. Varga, Iterative methods for solving matrix equations, Amer. Math. Monthly 72(1965), 67-74. MR 30, 2677. Zbl. 151, p. 214. 
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28. Garrett Birkhoff and Richard S. Varga, Discretization errors for well-set Cauchy problems. I, J. Math. and Phys. 44 (1965), 1-23. MR 31, 4189. Zbl. 134, p. 134.
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29. Richard S. Varga, Minimal Gerschgorin sets, Pacific J. Math. 15 (1965), 719-729. MR 32, 1206. Zbl. 168, p. 29.
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30. Richard S. Varga, Hermite interpolation-type Ritz methods for two-point boundary value problems, Numerical Solution of Partial differential Equations (J. H. Bramble, ed. ), pp. 365-373, Academic Press, Inc., New York, 1966. MR 34, 5302. Zbl. 161, p. 357.
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31. B. W. Levinger and R. S. Varga, Minimal Gerschgorin sets II, Pacific J. Math. 17 (1966), 199-210. MR 33, 2639. Zbl. 168, p. 30.
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32. Richard S. Varga, On a discrete maximum principle, SIAM J. Numer. Anal. 3 (1966), 355-359. MR 34, 2219. Zbl. 143, p. 176.
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33. Harvey S. Price, Richard S. Varga, and Joseph E. Warren, Application of oscillation matrices to diffusion-convection equations, J. Math. and Phys. 45 (1966), 301-311. MR 34, 7046. Zbl. 143, p. 383.
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34. Bernard W. Levinger and Richard S. Varga, On a problem of O. Taussky, Pacific J. Math. 19 (1966), 473-487. MR 34, 5845. Zbl. 168, p. 281.
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35. P. G. Ciarlet, M. H. Schultz, and R. S. Varga, Numerical methods of high-order accuracy for non-linear boundary value problems. I. One dimensional problem, Numer. Math. 9 (1967), 394-430. MR 36, 4813. Zbl. 155, p. 204.
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36. M. H. Schultz and R. S. Varga, L-splines, Numer. Math. 10 (1967), 345-369. MR 37, 665. Zbl. 183, p. 444.
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37. G. Birkhoff , M. H. Schultz, and R. S. Varga, Piecewise Hermite interpolation in one and two variables with applications to partial differential equations, Numer. Math. 11 (1968), 232-256. MR 37, 2404. Zbl. 159, p. 209.
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38. Helen I. Medley and Richard S. Varga, On smallest isolated Gerschgorin disks for eigenvalues. II, Numer. Math. 11 (1968), 320-323. MR 37, 4952. Zbl. 164, p. 176.
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39. P. G. Ciarlet, M. H. Schultz, and R. S. Varga, Numerical methods of high-order accuracy for nonlinear boundary value problems. II, Nonlinear boundary conditions, Numer. Math. 11 (1968), 331-345. MR 37, 4965. Zbl. 176, p. 149.
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40. Helen I. Medley and Richard S. Varga, On smallest isolated Gerschgorin disks for eigenvalues. III, Numer. Math. 11 (1968), 361-369. MR 37, 4953. Zbl. 164, p. 177.
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41. P. G. Ciarlet, M. H. Schultz, and R. S. Varga, Numerical methods of high-order accuracy for nonlinear boundary value problems. III. Eigenvalue problems, Numer. Math. 12 (1968), 120-133. MR 38, 1838. Zbl. 181, p. 133.
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42. P. G. Ciarlet, M. H. Schultz, and R. S. Varga, Numerical methods of high-order accuracy for nonlinear two-point boundary value problems, Programmation en Mathématiques Numériques, pp. 217-225, Editions Centre Nat. Recherche Sci., Paris, 1968. MR 38, 1837. Zbl. 207, p. 164.
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43. H. S. Price, J. C. Cavendish, and R. S. Varga, Numerical methods of higher-order accuracy for diffusionconvection equations, Soc. Petroleum Engineers J. 8 (1968), 293-303.
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44. Richard S. Varga, Nonnegatively posed problems and completely monotonic functions, Linear Algebra Appl. 1 (1968), 329-347. MR 38, 4045. Zbl. 162, p. 468.
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45. P. G. Ciarlet, M. H. Schultz, and R. S. Varga, Numerical methods of high-order accuracy for nonlinear boundary value problems. IV. Periodic boundary conditions, Numer. Math. 12 (1968), 266-279. MR 39, 2337. Zbl. 181, p. 183.
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46. Richard S. Varga, On an extension of a result of S. N. Bernstein, J. Approximation Theory 1 (1968), 176-179. MR 39, 1875. Zbl. 177, p. 88.
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47. J. W. Jerome and R. S. Varga, Generalizations of spline functions and applications to nonlinear boundary value and eigenvalue problems, Theory and Applications of Spline Functions (T. N. E. Greville, ed. ), pp. 103-l55, Academic Press, Inc., New York, 1969. MR 39, 685. Zbl. 188, p. 130.
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48. P. G. Ciarlet, M. H. Schultz, and R. S. Varga, Numerical methods of high-order accuracy for nonlinear boundary value problems. V. Monotone operator theory, Numer. Math. 13 (1969), 51-77. MR 40, 3730. Zbl. 181, p. 186.
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49. F. M. Perrin, H. S. Price, and R. S. Varga, On higher-order numerical methods for nonlinear two-point boundary value problems, Numer. Math. 13 (1969), 180-198. MR 40, 8276. Zbl. 183, p. 445.
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50. W. J. Cody, G. Meinardus, and R. S. Varga, Chebyshev rational approximation to e^-x  in [0; +1) and applications to heat-conduction problems, J. Approximation Theory 2 (1969), 50-65. MR 39, 6536. Zbl. 187, p. 116.
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51. J. C. Cavendish, H. S. Price, and R. S. Varga, Galerkin methods for the numerical solution of boundary value problems, Soc. Petroleum Engineers, AIME J. 9 (1969), 204-220.
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52. Richard S. Varga, Error bounds for spline interpolation, Approximations with Special Emphasis on Spline Functions (I. J. Schoenberg, ed. ), pp. 367-388, Academic Press, Inc., New York, 1969. MR 40, 6130. Zbl. 271.41008.
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53. Ivo Marek and Richard S. Varga, Nested bounds for the spectral radius, Numer. Math. 14 (1969), 49-70. MR 41, 2428. Zbl. 221.65063.
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54. R. J. Herbold, M. H. Schultz, and R. S. Varga, The e ect of quadrature errors in the numerical solutions of boundary value problems by variational techniques, Aequationes Math. 3 (1969), 247-270. MR 41, 6410. Zbl. 196, p. 176.
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55. Richard S. Varga, Accurate numerical methods for nonlinear boundary value problems, Numerical Solution of Field Problems in Continuum Physics, Vol. II, SIAM-AMS Proceedings (G. Birkhoff and R. S. Varga, eds. ), pp. 152-167, Amer. Math. Soc. , Providence, R. I., 1970. MR 42, 2650, 4026. Zbl. 221.65130.
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56. Harvey S. Price and Richard S. Varga, Error bounds for semidiscrete Galerkin approximations of parabolic problems with applications to petroleum reservoir mechanics, Numerical Solution of Field Problems in Continuum Physics, Vol. II, SIAM-AMS Proceedings (G. Birkhoff and R. S. Varga, eds. ), pp. 74-94, Amer. Math. Soc. , Providence, R. I., 1970. MR 42, 1358. Zbl. 218, p. 556.
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57. P. G. Ciarlet, F. Natterer, and R. S. Varga, Numerical methods of high-order accuracy for singular nonlinear boundary value problems, Numer. Math. 15 (1970), 87-99. MR 43, 1439. Zbl. 211, p. 191.
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58. Guenter Meinardus and Richard S. Varga, Chebyshev rational approximations to certain entire functions in [0; +1); J. Approximation Theory 3 (1970), 300-309. MR 43, 6633.
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59. P. G. Ciarlet and R. S. Varga, Discrete variational Green's function II. One dimensional problem, Numer. Math. 16 (1970), 115-128. MR 43, 1440. Zbl. 245.34012.
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60. Alston S. Householder, Richard S. Varga, and James H. Wilkinson, A note on Gerschgorin's inclusion theorem for eigenvalues of matrices, Numer. Math. 16 (1970), 141-144. MR 43, 1401. Zbl. 203, p. 333.
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61. Richard S. Varga, Minimal Gerschgorin sets for partitioned matrices, SIAM J. Numer. Anal. 7 (1970), 493-507. MR 44, 1209. Zbl. 221.15015.
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62. Alan J. Hoffman and Richard S. Varga, Patterns of dependence in generalizations of Gerschgorin's Theorem, SIAM J. Numer. Anal. 7 (1970), 571-574. MR 44, 4022. Zbl. 217, p. 55.
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63. Richard S. Varga, Some results in approximation theory with applications to numerical analysis, Numerical Solution of Partial differential Equations II, (B. E. Hubbard, ed. ), pp. 623-649, Academic Press, Inc., New York 1971. MR 56, 17150. Zbl. 243.65068.
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64. G. Meinardus, A. R. Reddy, G. D. Taylor, and R. S. Varga, Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in [0; +1); Bull. Amer. Math. Soc. 77 (1971), 460-461. MR 42, 7911. Zbl. 213, p. 88.
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65. Gerald W. Hedstrom and Richard S. Varga, Application of Besov space on spline approximation, J. Approximation Theory 4 (1971), 295-327. MR 43, 7824. Zbl. 218, p. 258.
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66. W. E. Culham and Richard S. Varga, Numerical methods for time-dependent, nonlinear boundary value problems, Soc. Petroleum Engineers AIME J. 11 (1971), 374-388.
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67. J. G. Pierce and R. S. Varga, Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I. Estimates relating Rayleigh-Ritz and Galerkin approximations to eigenfunctions, SIAM J. Numer. Anal. 9 (1972), 137-151. MR 52, 16065. Zbl. 301.65063.
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68. R. J. Herbold and R. S. Varga, The e ect of quadrature errors in the numerical solution of twodimensional boundary value problems by variational techniques, Aequationes Math. 7 (1972), 36-58. MR 45, 8028. Zbl. 233.65056.
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69. J. G. Pierce and R. S. Varga, Higher order convergence results for Rayleigh-Ritz method applied to eigenvalue problems. II. Improved error bounds for eigenfunctions, Numer. Math. 19 (1972), 155-169. MR 48, 1491. Zbl. 234.65092.
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70. Blair K. Swartz and Richard S. Varga, Error bounds for spline and L-spline interpolation, J. Approximation Theory 6 (1972), 6-49. MR 51, 3756. Zbl. 242.41008.
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71. G. Meinardus, A. R. Reddy, G. D. Taylor, and R. S. Varga, Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in [0; +1); Trans. Amer. Math. Soc. 170 (1972), 171-185. MR 46, 9603. Zbl. 279.41010.
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72. J. C. Cavendish, W. E. Culham, and R. S. Varga, A comparison of Crank-Nicholson and Chebyshev rational methods for numerically solving linear parabolic equations, J. Computational Phys. 10 (1972), 354-368. MR 48, 3268. Zbl. 263.65090.
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73. Richard S. Varga, The role of interpolation and approximation theory in variational and projectional methods for solving partial differential equations, Information Processing 71, pp. 1185-1190, NorthHolland Publishing Company, Amsterdam, 1972. MR 56, 17150. Zbl. 256.65049.
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74. W. J. Kammerer and R. S. Varga, On asymptotically best norms for powers of operators, Numer. Math. 20 (1972), 93-98. MR 48, 1449. Zbl. 244.65027.
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75. Richard S. Varga, Chebyshev semi-discrete approximations for linear parabolic problems, Linear Operators and Approximation (P. L. Butzer, J.-P. Kahane, B. Sz.-Nagy, eds. ), pp. 452-460, ISNM 20, Birkhauser Verlag, Basel and Stuttgart, 1972. MR 51, 9506; MR 52, 14763. Zbl. 253.41012.
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76. David H. Carlson and Richard S. Varga, Minimal G-functions, Linear Algebra Appl. 6 (1973), 97-117. MR 49, 7272. Zbl. 246.15009.
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77. Richard S. Varga, On a connection between in ma of norms and eigenvalues of associated operators, Linear Algebra Appl. 6 (1973), 249-256. MR 47, 257. Zbl. 246.15027.
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78. David H. Carlson and Richard S. Varga, Minimal G-functions II, Linear Algebra Appl. 7 (1973), 233-242. MR 49, 7272. Zbl. 261.15017.
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79. Blair K. Swartz and Richard S. Varga, A note on lacunary interpolation by splines, SIAM J. Numer. Anal. 10 (1973), 443-447. MR 48, 12776. Zbl. 255.65006.
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80. Richard S. Varga and Bernard W. Levinger, On minimal Gerschgorin sets for families of norms, Numer. Math. 20 (1973), 252-256. MR 47, 4430. Zbl. 302.65029.
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81. Richard S. Varga, Extensions of the successive overrelaxation theory with applications to finite element approximations, Topics in Numerical Analysis (J. J. H. Miller, ed.), pp. 329-343, Academic Press, Inc., New York, 1973. MR 50, 1480. Zbl. 277.65015.
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82. Stephen Demko and Richard S. Varga, Extended error bounds for spline and L-spline interpolation, Approximation Theory (G. G. Lorentz, ed.), pp. 313-318, Academic Press, Inc., New York and London, 1973. MR 53, 1104. Zbl. 334.41006.
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83. David H. Carlson and Richard S. Varga, On collections of G-functions, Linear Algebra Appl. 8 (1974), 65-76. MR 48, 11146. Zbl. 273.15008.
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84. Stephen Demko and Richard S. Varga, Extended Lp-error bounds for spline and L-spline interpolation, J. Approximation Theory 12 (1974), 242-264. MR 53, 1103. Zbl. 315.41005.
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85. W. J. Kammerer, G. W. Reddien, and R. S. Varga, Quadratic interpolatory splines, Numer. Math. 22 (1974), 241-259. MR 52, 2132. Zbl. 282.65004.
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86. E. B. Saff and R. S. Varga, Convergence of Padé approximants to e^-z on unbounded sets, J. Approximation Theory 13 (1975), 470-488. MR 53, 5892. Zbl. 304.65015.
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87. William H. Ling, John A. Roulier, and Richard S. Varga, On approximation by polynomials increasing to the right of the interval, J. Approximation Theory 14 (1975), 285-295. MR 52, 6271. Zbl. 308.41006.
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88. E. B. Saff and R. S. Varga, On the zeros and poles of Pade Approximants to e^-z , Numer. Math. 25 (1975), 1-14. MR 53, 3273. Zbl. 322.41010.
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89. E. B. Saff and R. S. Varga, Angular overconvergence for rational functions converging geometrically on [0; +1), Theory of Approximation (A. G. Law and B. N. Sahney, eds), pp. 238-256, Academic Press, Inc., New York, 1976. MR 54, 804. Zbl. 355.41022.
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90. Richard S. Varga, On recurring theorems on diagonal dominance, Linear Algebra Appl. 13 (1976), 1-9. (Olga Taussky Todd Special Issue). MR 52, 13880. Zbl. 336.15007.
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91. E. B. Saff and Richard S. Varga, Zero-free parabolic regions for sequences of polynomials, SIAM J. Math. Anal. 7 (1976), 344-357. MR 54, 3060. Zbl. 332.30001.
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92. E. B. Saff , R. S. Varga, and W.-C. Ni, Geometric convergence of rational approximations to e^-z in infinite sectors, Numer. Math. 26 (1976), 211-225. MR 56, 16212. Zbl. 328.65015.
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93. G. Alefeld und R. S. Varga, Zur Konvergenz des symmetrischen Relaxationsverfahrens, Numer. Math. 25 (1976), 291-295. MR 56, 4128. Zbl. 319.65030.
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94. E. B. Saff , A. Sch�onhage, and R. S. Varga, Geometrical convergence to e^-z by rational functions with real poles, Numer. Math. 25 (1976), 307-322. MR 57, 3704. Zbl. 319.65006.
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95. Richard S. Varga, On diagonal dominance arguments for bounding ||A^-1||_∞ Linear Algebra Appl. 14 (1976), 211-217. MR 56, 5612. Zbl. 341.15002.
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96. Richard S. Varga, M-Matrix theory and recent results in numerical linear algebra. Sparse Matrix Computations (J. R. Bunch and D. J. Rose, eds.), pp. 375-387, Academic Press, Inc., New York, 1976. MR 58, 3380. Zbl. 352.65018.
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97. E. B. Saff and R. S. Varga, Geometric overconvergence of rational functions in unbounded domains, Pacific J. Math. 62 (1976), 523-549. MR 53, 13587. Zbl. 335.30028.
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98. E. B. Saff and R. S. Varga, On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials, Numer. Math. 26 (1976), 345-354. MR 56, 5848b. Zbl. 339.26018.
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99. E. B. Saff and R. S. Varga, The behavior of the Pade table for the exponential, Approximation Theory II (G. G. Lorentz, C. K. Chui, and L. L. Schumaker, eds.), pp. 519-531, Academic Press, Inc., New York, 1976. MR 55, 6069. Zbl. 352.41014.
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100. Richard S. Varga, A note on an open question on !and ˝ -matrices, Linear Algebra Appl. 18 (1977), 45-52. MR 57, 12555. Zbl. 361.15018.
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101. E. B. Saff and R. S. Varga, Nonuniqueness of best approximating complex rational functions, Bull. Amer. Math. Soc. 83 (1977), 375-377. MR 55, 6087. Zbl. 348.41020.
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102. E. B. Saff and R. S. Varga, On the zeros and poles of Padé approximants to e z . II, Pade and Rational Approximations: Theory and Applications (E. B. Saff and R. S. Varga, eds.), pp. 195-213, Academic Press, Inc., New York, 1977. MR 58, 11432. Zbl. 377.41016.
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103. E. B. Saff and R. S. Varga, Some open problems concerning polynomials and rational functions, Pade and Rational Approximations: Theory and Applications (E. B. Saff and R. S. Varga, eds.), pp. 483-488, Academic Press, Inc., New York, 1977. MR 57, 13314.
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104. G. M. Engel and R. S. Varga, Minimal Geršgorin sets and !-matrices, Linear and Multilinear Algebra 5 (1977), 1-10. MR 56, 8597. Zbl. 387.15005.
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105. John A. Roulier and Richard S. Varga, Another property of Chebyshev polynomials, J. Approximation Theory 22 (1978), 233-242. MR 58, 23255. Zbl. 389.41015.
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106. E. B. Saff and R. S. Varga, Nonuniqueness of best complex rational approximation to real functions on real intervals, J. Approximation Theory 23 (1978), 78-85. MR 80f:41012. Zbl. 375.41008.
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107. E. B. Saff and R. S. Varga, On the zeros and poles of Padé approximants to e z . III, Numer. Math. 30 (1978), 241-266. MR 58, 11433. Zbl. 438.41015.
| abstract | full paper |

108. A. Berman, R. S. Varga, and R. C. Ward, ALPS: Matrices with nonpositive o -diagonal entries, Linear Algebra Appl. 21 (1978), 233-244. MR 58, 22119. Zbl. 401.15018.
| abstract | full paper |

109. E. B. Saff and R. S. Varga, On incomplete polynomials, Numerische Methoden der Approximationstheorie, Band 4(L. Collatz, G. Meinardus, H. Werner, eds.), pp. 281-298, ISNM 42, Birkh� auser Verlag, Basel and Stuttgart, 1978. MR 80d:41008. Zbl. 408.41008.
| abstract | full paper |

110. E. B. Saff and R. S. Varga, Uniform approximation by incomplete polynomials, Internat. J. Math. and Math. Sci. 1 (1978), 407-420. MR 81a:41016. Zbl. 421.41006.
| abstract | full paper |

111. D. S. Moak, E. B. Saff and R. S. Varga, On the zeros of Jacobi polynomials P ( n ; n ) n (x), Trans. Amer. Soc. 249(1979), 159-162. MR 80g:33021. Zbl. 414.33009.
| abstract | full paper |

112. E. B. Saff and R. S. Varga, The sharpness of Lorentz's Theorem on incomplete polynomials, Trans. Amer. Math. Soc. 249 (1979), 163-186. MR 81b:41048. Zbl. 414.41009.
| abstract | full paper |

113. Michael Lachance, Edward B. Saff , and Richard S. Varga, Inequalities for polynomials with a prescribed zero, Math. Zeit. 168 (1979), 105-116. MR 80j:30009. Zbl. 406.30002.
| abstract | full paper |

114. Richard Varga, Recent results in linear algebra and their applications (Russian). Numerical Methods in Linear Algebra (Proc. Third Sem. Methods of Numerical Appl. Math., Novosibirsk, 1978) (Russian), pp. 5-15, Akad. Nauk SSSR Sibirsk. Otdel., Vycisl. Dentr, Novosibirsk, 1978. MR 81m:65062. Zbl. 435.15002.
| abstract | full paper |

115. John J. Buoni and Richard S. Varga, Theorems of Stein-Rosenberg Type, Numerical Mathematics (R. Ansorge, K. Glasho , B. Werner, eds.), pp. 65-75, ISNM 49, Birkh� auser Verlag, Basel, 1979. MR 83b:65028. Zbl. 412.65016.
| abstract | full paper |

116. N. Anderson, E. B. Saff , and R. S. Varga, On the Eneström-Kakeya Theorem and its sharpness, Linear Algebra Appl. 28 (1979), 5-16. MR 81i:26011. Zbl. 423.15007.
| abstract | full paper |

117. M. Lachance, E. B. Saff , and R. S. Varga, Bounds for incomplete polynomials vanishing at both endpoints of an interval, Constructive Approaches to Mathematical Models (C. V. Co man and G. J. Fix, eds.), pp. 421-437, Academic Press, Inc., New York, 1979. MR 81f:41006. Zbl. 441.41004.
| abstract | full paper |

118. A. S. Cavaretta, Jr., A. Sharma, and R. S. Varga, Hermite-Birkhoff interpolation in the n-th roots of unity, Trans. Amer. Math. Soc. 259 (1980), 621-628. MR 81c:30064. Zbl. 431.41001.
| abstract | full paper |

119. Michael Neumann and Richard S. Varga, On the sharpness of some upper bounds for the spectral radius of S.O.R. iteration matrices, Numer. Math. 35 (1980), 69-79. MR 81k:65037. Zbl. 453.65021.
| abstract | full paper |

120. A. S. Cavaretta, Jr., A. Sharma, and R. S. Varga, Lacunary trigonometric interpolation on equidistant nodes, Qualitative Approximation (R. A. DeVore and K. Scherer, eds.), pp. 63-80, Academic Press, Inc., New York, 1980. MR 81k:42004. Zbl. 496.42001.
| abstract | full paper |

121. M. G. de Bruin, E. B. Saff , and R. S. Varga, On two conjectures on the zeros of generalized Bessel polynomials, Approximation Theory III (E. W. Cheney, ed.), pp. 261-266, Academic Press, Inc., New York, 1980. MR 82c:33018. Zbl. 477.33006.
| abstract | full paper |

122. E. B. Saff , J. L. Ullman, and R. S. Varga, Incomplete polynomials: an electrostatic approach, Approximation Theory III (E. W. Cheney, ed.), pp. 769-782, Academic Press, Inc., New York, 1980. MR 82h:41009. Zbl. 479.41016.
| abstract | full paper |

123. R. S. Varga, E. B. Saff , and V. Mehrmann, Incomplete factorizations of matrices and connections with H-matrices, SIAM J. Numer. Anal. 17 (1980), 787-793. MR 83g:65038. Zbl. 477.65020.
| abstract | full paper |

124. A. S. Cavaretta, Jr., A. Sharma, and R. S. Varga, Interpolation in the roots of unity: an extension of a Theorem by J. L. Walsh, Resultate der Mathematik 3 (1980), 155-191. MR 82j:30049. Zbl. 447.30020.
| abstract | full paper |

125. N. Anderson, E. B. Saff , and R. S. Varga, An extension of the Eneström-Kakeya Theorem and its sharpness, SIAM J. Math. Anal. 12 (1981), 10-22. MR 82b:30007. Zbl. 455.30006.
| abstract | full paper |

126. E. B. Saff and R. S. Varga, Remarks on a conjecture of G. G. Lorentz, J. Approximation Theory 30 (1980), 29-36. MR 82e:41040. Zbl. 454.41006.
| abstract | full paper |

127. M. G. de Bruin, E. B. Saff , and R. S. Varga, On the zeros of generalized Bessel polynomials. I, Nederl. Akad. Wetensch. Indag. Math. 43 (1981), 1-13. MR 82d:33015. Zbl. 467.33003.
| abstract | full paper |

128. M. G. de Bruin, E. B. Saff , and R. S. Varga, On the zeros of generalized Bessel polynomials. II, Nederl. Akad. Wetensch. Indag. Math. 43 (1981), 14-25. MR 82d:33015. Zbl. 467.33004.
| abstract | full paper |

129. E. B. Saff and R. S. Varga, On incomplete polynomials. II, Pacific J. Math. 92 (1981), 161-172. MR 83h:41005. Zbl. 458.41003.
| abstract | full paper |

130. Edward B. Saff and Richard S. Varga, On lacunary incomplete polynomials, Math. Zeit. 177 (1981), 297-314. MR 83a:41008. Zbl. 451.42008.
| abstract | full paper |

131. John J. Buoni and Richard S. Varga, Theorems of Stein-Rosenberg type. II. Optimal paths of relaxation in the complex plane, Elliptic Problem Solvers (Martin H. Schultz, ed.), pp. 231-240, Academic Press, Inc., New York, 1981. MR 83c:65003. Zbl. 487.65016.
| abstract | full paper |

132. Richard S. Varga and Da-Yong Cai, On the LU factorization of M-matrices, Numer. Math. 38 (1981), 179-192. MR 83d:15008. Zbl. 477.65021.
| abstract | full paper |

133. E. B. Saff , A. Sharma, and R. S. Varga, An extension to rational functions of a Theorem of J. L. Walsh on differences of interpolating polynomials, R.A.I.R.O. Anal. Numér. 15 (1981), 371-390. MR 83i:3005. Zbl. 485.41003.
| abstract | full paper |

134. John J. Buoni, Michael Newmann, and Richard S. Varga, Theorems of Stein-Rosenberg type. III. The singular case, Linear Algebra Appl. 42 (1982), 183-198. MR 84m:65046. Zbl. 487.65017.
| abstract | full paper |

135. R. S. Varga and D.-Y. Cai, On the LU factorization of M-matrices: cardinality of the set P g n (A), SIAM J. Algebraic Discrete Methods 3 (1982), 250-259. MR 83i:15018. Zbl. 504.15004.
| abstract | full paper |

136. C. W. Loughry, D. B. Sheffer, R. H. Hamor, R. E. Herron, R. A. Liebelt, F. Proietti-Orlandi, and R. S. Varga, Breast cancer detection utilizing biostereometric analysis, Cancer Detection and Prevention 4 (1981), 589-594.
| abstract | full paper |

137. J. Szabados and R. S. Varga, On the overconvergence of complex interpolating polynomials, J. Approximation Theory 36 (1982), 346-363. MR 84c:30056. Zbl. 524.41001.
| abstract | full paper |

138. W. Niethammer and R. S. Varga, The analysis of k-step iterative methods for linear systems from summability theory, Numer. Math. 41 (1983), 177-206. MR 85a:65059. Zbl. 509.65016.
| abstract | full paper |

139. J. Szabados and R. S. Varga, On the overconvergence of complex interpolating polynomials. II. Domain of geometric convergence to zero, Acta Sci. Math. Szeged 45 (1983), 377-380. MR 86a:30003. Zbl. 532.30003.
| abstract | full paper |

140. E. B. Saff and R. S. Varga, A note on the sharpness of J. L. Walsh's Theorem and its extensions for interpolation in the roots of unity, Acta Math. Hung. 41 (3-4) (1983), 371-377. MR 85g:30064. Zbl. 524.30026.
| abstract | full paper |

141. Walter Gautschi and Richard S. Varga, Error bounds for Gaussian quadrature of analytic functions, SIAM J. Numer. Anal. 20 (1983), 1170-1186. MR 85j:65010. Zbl. 545.41040.
| abstract | full paper |

142. A. Neumaier and R. S. Varga, Exact convergence and divergence domains for the symmetric successive overrelaxation (SSOR) iterative method applied to H-matrices, Linear Algebra Appl. 58 (1984), 261272. MR 86h:65045. Zbl. 569.65021.
| abstract | full paper |

143. W. Niethammer, J. dePillis, and R. S. Varga, Convergence of block iterative methods applied to sparse least-squares problems, Linear Algebra Appl. 58 (1984), 327-341. MR 85e:65014. Zbl. 565.65019.
| abstract | full paper |

144. R. S. Varga, W. Niethammer, and D.-Y. Cai, p-Cyclic matrices and the symmetric successive overrelaxation method, Linear Algebra Appl. 58 (1984), 425-439. MR 86c:65038. Zbl. 596.65022.
| abstract | full paper |

145. Richard S. Varga, A survey of recent results on iterative methods for solving large systems of linear equations, Elliptic Problem Solvers II (G. Birkhoff and A. Schoenstadt, eds.), pp. 197-217, Academic Press, Inc., New York, 1984. MR 85g:65007. Zbl. 569.65023.
| abstract | full paper |

146. George Csordas and Richard S. Varga, Comparisons of regular splittings of matrices, Numer. Math. 44 (1984), 23-35. MR 85g:65043. Zbl. 556.65024.
| abstract | full paper |

147. S. Ruscheweyh and R. S. Varga, On the minimum moduli of normalized polynomials, Rational Approximation and Interpolation, Proceedings, Tampa, Florida 1983, (P. R. Graves-Morris, E. B. Saff , and R. S. Varga, eds.), Lecture Notes in Mathematics 1105, pp. 150-159, Springer-Verlag, Heidelberg, 1984. MR 86e:30007. Zbl. 582.41010.
| abstract | full paper |

148. A. J. Carpenter, A. Ruttan, and R. S. Varga, Extended numerical computations on the \1/9" conjecture in rational approximation theory, Rational Approximation and Interpolation, Proceedings, Tampa, Florida 1983, (P. R. Graves-Morris, E. B. Saff , and R. S. Varga, eds.), Lecture Notes in Mathematics 1105, pp. 383-411, Springer-Verlag, Heidelberg, 1984. MR 86d:41102. Zbl. 553.41022.
| abstract | full paper |

149. A. S. Cavaretta, Jr., A. Sharma, and R. S. Varga, A Theorem of J. L. Walsh, revisited, Pacific J. Math. 118 (1985), 313-322. MR 86m:30039. Zbl. 575.30034.
| abstract | full paper |

150. Richard S. Varga and Amos J. Carpenter, On the Bernstein conjecture in approximation theory, Const. Approx. 1 (1985), 333-348. MR 87g:41066, MR 88f:41030. Zbl. 648.41013.
| abstract | full paper |

151. Richard S. Varga and Wu Wen-Da, On the rate of overconvergence of the generalized Eneström-Kakeya functional for polynomials, J. Comp. Math. 3 (1985), 275-288. MR 88b:30011. Zbl. 615.30004.
| abstract | full paper |

152. M. Eiermann, W. Niethammer, and R. S. Varga, A study of semiiterative methods for nonsymmetric systems of linear equations, Numer. Math. 47 (1985), 505-533. MR 87d:65034. Zbl. 585.65025.
| abstract | full paper |

153. A. S. Cavaretta, Jr., A. Sharma, and R. S. Varga, Converse results in the Walsh theory of equiconvergence, RAIRO Modél Math. Anal. Numér. 19 (1985), 601-609. MR 87g:30001. Zbl. 578.41003.
| abstract | full paper |

154. R. S. Varga and A. J. Carpenter, Ob odnoi gipoteze S. Bernsteina v teorii priblizhenii, Matematicheskii Sbornik 129 (171) (1986), 535-548. (English translation in Math. USSR Sbornik 57(1987), 547-560). MR 87g:41066. Zbl. 661.41005.
| abstract | full paper |

155. D. B. Sheffer, T. E. Price, C. W. Loughry, B. L. Bolyard, W. M. Morek, and R. S. Varga, Validity and reliability of biostereometric measurement of the female breast, Ann. Biomed. Eng. 14 (1986), 1-14.
| abstract | full paper |

156. M. H. Gutknecht, W. Niethammer, and R. S. Varga, k-step iterative methods for solving nonlinear systems of equations, Numer. Math. 48 (1986), 699-712/ MR 87j:65058. Zbl. 597.65047.
| abstract | full paper |

157. George Csordas, Timothy S. Norfolk, and Richard S. Varga, The Riemann Hypothesis and the Turán inequalities, Trans. Amer. Math. Soc. 296 (1986), 521-541. MR 87i:11109. Zbl. 602.30030.
| abstract | full paper |

158. Stephen Ruscheweyh and Richard S. Varga, On the minimum moduli of normalized polynomials with two prescribed values, Const. Approx. 2 (1986), 349-368. MR 88e:30016. Zbl. 602.30008.
| abstract | full paper |

159. Richard S. Varga, Scientific computation on some mathematical conjectures, Approximation Theory V (C. K. Chui, L. L. Schumaker, and J. D. Ward, eds. ), pp. 191-209, Academic Press, 1986. MR 88j:41002. Zbl. 612.41012.
| abstract | full paper |

160. M. Eiermann, R. S. Varga, and W. Niethammer, Iterationsverfahren für nichtsymmetrische Gleichungssysteme und Approximationsmethoden im Komplexen, Jber. Deutsch. Math. Verein. 89 (1987), 1-32. MR 88c:65034. Zbl. 632.65031.
| abstract | full paper |

161. George Csordas and Richard S. Varga, Moment inequalities and the Riemann Hypothesis, Constructive Approximation 4 (1988), 175-198. MR 89f:30010. Zbl. 696.30007.
| abstract | full paper |

162. G. Csordas, T. S. Norfolk, and R. S. Varga, A lower bound for the de Bruijn-Newman constant Λ, Numer. Math. 52, (1988), 483-497. MR 89m:30054. Zbl. 663.65017.
| abstract | full paper |

163. F. Proietti-Orlandi, R. S. Varga, D. B. Sheffer, T. E. Price, and C. W. Loughry, Biostereometric analysis for breast cancer detection, J. Biomed. Eng. 10 (1988), 237-245.
| abstract | full paper |

164. P. Olivier, Q.I. Rahman, and R. S. Varga, On a new proof and sharpenings of a result of Fejér on bounded partial sums, Linear Algebra Appl. 107(1988), 237-251. MR 89k:30033. Zbl. 659.30032.
| abstract | full paper |

165. A. Sharma, J. Szabados, and R. S. Varga, 2-Periodic lacunary trigonometric interpolation: the (0; M) case, Constructive Theory of Functions '87, Proceedings of the International Conference on the Construction Theory of Functions, May, 24-31, 1987, pp. 420-427, Publishing House of the Bulgarian Academy of Sciences, So a, 1988. MR 90e:42010. Zbl. 763.42003.
| abstract | full paper |

166. M. Eiermann, X. Li, and R. S. Varga, On hybrid semiiterative methods, SIAM J. Numer. Anal. 26(1989), 152-168. MR 90e:65041. Zbl. 669.65020.
| abstract | full paper |

167. Garry Rodrigue and Richard S. Varga, Convergence rate estimates for iterative solutions of the biharmonic equation, J. Comp. Appl. Math. 24(1989), 129-146. MR 89k:65128. Zbl. 675.65104.
| abstract | full paper |

168. Arden Ruttan and Richard S. Varga, A unified theory for real vs. complex rational Chebyshev approximation on an interval, Trans. Amer. Math. Soc. 312 (1989), 681-697. MR 89h:41038. Zbl. 676.41019.
| abstract | full paper |

169. George Csordas and Richard S. Varga, Integral transforms and the Laguerre-Pólya class, Complex Variables 12 (1989), 211-230. MR 91c:30048. Zbl. 678.42006.
| abstract | full paper |

170. A. K. Rigler, S. Y. Trimble, and R. S. Varga, Sharp lower bounds for a generalized Jensen inequality, Rocky Mountain J. of Math. 19 (1989), 353-373. MR 90j:30055. Zbl. 692.30002.
| abstract | full paper |

171. Arden Ruttan and Richard S. Varga, Real vs. complex rational Chebyshev approximation on an interval: γ_m,m+2 ≤ 1=3, Rocky Mountain J. of Math. 19 (1989), 375-381. MR 90j:41030. Zbl. 722.41018.
| abstract | full paper |

172. Xiezhang Li and Richard S. Varga, A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices, Numer. Math. 56(1989), 109-121. MR 91b:65038. Zbl. 678.65021.
| abstract | full paper |

173. W. Niethammer and R. S. Varga, Relaxation methods for non-Hermitian linear systems, Resultate der Mathematik 16 (1989), 308-320. MR 91g:65069. Zbl. 687.65031.
| abstract | full paper |

174. A. Sharma and R. S. Varga, On a particular 2-periodic lacunary trigonometric interpolation problem on equidistant nodes, Resultate der Mathematik 16 (1989), 383-404. MR 91c:42005. Zbl. 712.42009.
| abstract | full paper |

175. G. Csordas and R. S. Varga, Fourier transforms and the Hermite-Biehler Theorem, Proc. Amer. Math. Soc. 107 (1989), 645-652. MR 90b:30005. Zbl. 683.30033.
| abstract | full paper |

176. A. Sharma and R. S. Varga, On a 2-periodic lacunary trigonometric interpolation problem. Approximation Theory VI (C.K. Chui, L.L.Schumaker, and J.D. Ward, eds.), pp. 585-588, Academic Press, Inc., Boston, 1989. Zbl. 738.41011.
| abstract | full paper |

177. Walter Gautschi, E. Tychopoulos, and R. S. Varga, A note on the contour interval representation of the remainder term for a Gauss-Chebyshev quadrature rule, SIAM J. Numer. Anal. 27 (1990), 219-224. MR 91d:65044. Zbl. 685.41019.
| abstract | full paper |

178. R. S. Varga and A. J. Carpenter, Asymptotics for the zeros of the partial sums of e z . II, Computational Methods and Function Theory, Proceeding, Valparaíso, Chile, March, 1989 (St. Ruscheweyh, E.B. Saff , L.C. Salinas, and R.S. Varga, eds.) Lecture Notes in Mathematics 1435, pp. 201-207, Springer-Verlag, Heidelberg, 1990. MR 92m:33004. Zbl. 734.30009.
| abstract | full paper |

179. Richard S. Varga, Reminiscences on the University of Michigan Summer Schools, the Gatlinburg Symposia, and Numerische Mathematik, A History of Scientific Computing, (Stephen G. Nash, ed.), pp. 206-210, ACM Press, New York, 1990.
| abstract | full paper |

180. George Csordas and Richard S. Varga, Necessary and sufficient conditions and the Riemann Hypothesis, Advances in Applied Math. 11 (1990), 328-357. MR 91d:11107. Zbl. 707.11062.
| abstract | full paper |

181. George Csordas, Richard S. Varga, and István Vincze, Jensen polynomials with applications to the Riemann ˘-function, J. Math. Anal. Appl. 153 (1990), 112-135. MR 92g:11087. Zbl. 708.30008.
| abstract | full paper |

182. Richard S. Varga and Arden Ruttan, Real vs. complex best rational approximation, Approximation Theory and Functional Analysis (C.K. Chui, ed.), pp. 215-236, Academic Press, Inc., Boston, 1991. Zbl. 719.41034.
| abstract | full paper |

183. E. C. Gartland, Jr., P. Palffy-Muhoray, and R. S. Varga, Numerical minimization of the LandaudeGennes free energy: defects in cylindrical capillaries, Mol. Cryst. Liq. Cryst. 199(1991), 429-452.
| abstract | full paper |

184. A. J. Carpenter, R. S. Varga, and J. Waldvogel, Asymptotics for the zeros of the partial sums of e z . I., Rocky Mountain J. of Math. 21(1991), 99-120. MR 92m:33003. Zbl. 734.30008.
| abstract | full paper |

185. G. Csordas, A. Ruttan, and R. S. Varga, The Laguerre inequalities with applications to a problem associated with the Riemann Hypothesis, Numerical Algorithms 1 (1991), 305-329. MR 93c:30041. Zbl. 751.11043.
| abstract | full paper |

186. R. S. Varga, A. Ruttan, and A. J. Carpenter, Chislennie rezultati o nailuchshikh ravnomernikh ratsionalnikh approksimatsiyakh funktsii jxj na otrezke [-1,+1], Mat. Sbornik 182(No. 11)(1991), 1523-1541. MR 92i.65040. Zbl. 739.65010.
| abstract | full paper |

187. A. Sharma, J. Szabados, and R. S. Varga, Some 2-periodic trigonometric interpolation problems on equidistant nodes, Analysis 11(1991), 165-190. MR 93g:41005. Zbl. 776.42004.
| abstract | full paper |

188. M. Eiermann, W. Niethammer, and R. S. Varga, Acceleration of relaxation methods for non-Hermitian linear systems, SIAM J. Math. Anal. Appl. 13(1992), 979-991. MR 93e:65052. Zbl. 757.65032.
| abstract | full paper |

189. R. S. Varga and A. J. Carpenter, Some numerical results on best uniform rational approximation of x on [0; 1], Numerical Algorithms 2(1992), 171-185. MR 93b:65024. Zbl. 763.41025.
| abstract | full paper |

190. Richard S. Varga, How high-precision calculations can stimulate mathematical research, Appl. Numer. Math. 10(1992), 177-193. MR 93c.65004. Zbl. 758.65001.
| abstract | full paper |

191. Richard S. Varga, On a generalization of Mahler's inequality, Analysis 12(1992), 319-333. MR 93j:30002. Zbl. 765.30001.
| abstract | full paper |

192. George Csordas, Wayne Smith, and Richard S. Varga, Level sets for real entire functions and the Laguerre inequalities, Analysis 12(1992), 377-402. MR 93h:30004. Zbl. 759.30016.
| abstract | full paper |

193. T. S. Norfolk, A. Ruttan, and R. S. Varga, A lower bound for the de Bruijn-Newman constant Λ. II., Progress in Approximation Theory (A.A. Gonchar and E.B. Saff , eds.), Springer-Verlag, New York, 1992, pp. 403-418. MR 94k:30062. Zbl. 787.30016.
| abstract | full paper |

194. Amos J. Carpenter and Richard S. Varga, Some numerical results on best uniform polynomial approximation of x^α on [0,1]. Methods of Approximation Theory in Complex Analysis and Mathematical Physics (A.A. Gonchar and E.B. Saff , editors), Moscow "Nauka" 1993, and later reissued in Lecture Notes in Mathematics #1550 (Springer-Verlag), 1993, pp. 192-222. MR 95m:65022. Zbl. 784.65009.
| abstract | full paper |

195. M. Eiermann and R. S. Varga, Is the optimal ω best for the SOR iteration method?, Linear Algebra Appl. 182(1993), 257-277. MR 94c:65038. Zbl. 773.65016.
| abstract | full paper |

196. Gerhard Starke and Richard S. Varga, A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations, Numer. Math. 64(1993), 213-240. MR 93m:65043. Zbl. 795.65015.
| abstract | full paper |

197. R. S. Varga, A. Ruttan, and A. J. Carpenter, Numerical results on best uniform rational approximation of |x| on [-1, +1], Math. USSR Sbornik 74(1993), 271-290. (Translation of #186.) Zbl. 774.65008.
| abstract | full paper |

198. Michael Eiermann and Richard S. Varga, Optimal semi-iterative methods applied to SOR iteration in the mixed case, Numerical Linear Algebra (L. Reichel, A. Ruttan, and R.S. Varga, eds.), pp. 47-73, Walter de Gruyter, New York, 1993. MR 94m.65054. Zbl. 794.65027.
| abstract | full paper |

199. Richard S. Varga and Reinhard Nabben, On symmetric ultrametric matrices, Numerical Linear Algebra, (L. Reichel, A. Ruttan, and R.S. Varga, eds.), pp. 193-199, Walter de Gruyter, New York, 1993. MR 95f:15019. Zbl. 798.15029.
| abstract | full paper |

200. Richard S. Varga and Reinhard Nabben, An algorithm for determining if the inverse of a strictly diagonally dominant matrix is strictly ultrametric, Numer. Math. 65(1993), 493-501. MR 94e:15008. Zbl. 796.65029.
| abstract | full paper |

201. Roger W. Barnard, Kent Pearce, and Richard S. Varga, An application from partial sums of e z to a problem in several complex variables, J. Comput. Applied Math. 46(1993), 271-279. MR 94e:32037. Zbl. 802.32010.
| abstract | full paper |

202. Michael Eiermann and Richard S. Varga, Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains, ETNA (Electronic Transactions on Numerical Analysis) 1(1993), 49-71. MR 94i:30006. Zbl. 815.30008.
| abstract | full paper |

203. Richard S. Varga and Wilhelm Niethammer, A note on a perturbation analysis of iterative methods, with an application to the SSOR and ADI iterative method, Proceedings of the seminar Numerical Mathematics in Theory and Practice, University of West Bohemia, 1993, pp. 18-27.
| abstract | full paper |

204. G. Csordas, A. M. Odlyzko, W. Smith, and R. S. Varga, A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant Λ, ETNA (Electronic Transactions on Numerical Analysis) 1(1993), 104-111. MR 94k:11098. Zbl. 807.11059.
| abstract | full paper |

205. Reinhard Nabben and Richard S. Varga, A linear algebra proof that the inverse of a strictly ultrametric matrix is a strictly diagonally dominant Stieltjes matrix, SIAM J. Matrix Anal. Appl. 15(1994), 107- 113. MR 95c:15054 Zbl. 803.15020.
| abstract | full paper |

206. George Csordas, Wayne Smith, and Richard S. Varga, Lehmer pairs of zeros, the de Bruijn-Newman constant Λ, and the Riemann Hypothesis, Constructive Approximation 10(1994), 107-129. MR 94k:30061. Zbl. 792.30020.
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207. Richard S. Varga and Amos J. Carpenter, Asymptotics for the zeros and poles of normalized Padé approximants to e^z , Numer. Math. 68(1994), 169-185. MR 96a:30007. Zbl. 807.30003.
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208. R. Brück, A. Sharma, and R. S. Varga, An extension of a result of Rivlin on Walsh equiconvergence, Advances in Computational Mathematics: New Delhi, India (H.P. Dikshit and C. A. Micchelli, eds.), pp. 225-234, World Scientific, Singapore, 1994. MR 96h:30071. Zbl. 840.30024.
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209. George Csordas, Wayne Smith, and Richard S. Varga, Lehmer pairs of zeros and the Riemann ξ-function, Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics (Walter Gautschi, ed.), pp. 553-556, Proc. Sympos. Appl. Math., vol. 48, Amer. Math. Soc., Providence, RI, 1994. MR 96b.11119. Zbl. 822.30025.
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210. R. Brück, A. Sharma, and R. S. Varga, An extension of a result of Rivlin on Walsh equiconvergence (Faber nodes), Approximation and Computation (R. Zahar, ed.), pp. 41-66, Birkhäuser, Boston, 1994. MR 96c:41001. Zbl. 840.30025.
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211. A. Sharma, J. Szabados, and R. S. Varga, Some 2-periodic trigonometric interpolation problems on equidistant nodes. II. (Convergence), Studia Sci. Math. Hungar. 29(1994), 415-432. Zbl. 859.42003.
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212. Reinhard Nabben and Richard S. Varga, Generalized ultrametric matrices - a class of inverse M- matrices, Linear Algebra Appl. 220 (1995), 365-390. MR 96c:15039. Zbl. 828.15020.
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213. Reinhard Nabben and Richard S. Varga, On classes of inverse Z-matrices, Linear Algebra Appl. 223/224 (1995), 521-552. MR 96g:15011. Zbl. 828.15021.
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214. Thomas A. Manteuffel, Gerhard Starke, and Richard S. Varga, Adaptive k-step iterative methods for nonsymmetric systems of linear equations, ETNA (Electronic Transactions on Numerical Analysis) 3(1995), 50-65. MR 96h:65051. Zbl. 858.65036.
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215. Alan Krautstengl and Richard S. Varga, Minimal Gerschgorin sets for partitioned matrices II. The Spectral Conjecture, ETNA (Electronic Transactions on Numerical Analysis) 3(1995), 66-82. MR 96i:65028. Zbl. 857.15008.
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216. Richard S. Varga and Alan Krautstengl, Minimal Gerschgorin sets for partitioned matrices III. The sharpness of the boundaries and monotonicity as a function of the partition, ETNA (Electronic Transactions on Numerical Analysis) 3(1995), 83-95. MR 96i:65029. Zbl. 857.15009.
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217. Igor E. Pritsker and Richard S. Varga, Boundary singularities of Faber and Fourier series, Analysis 16(1996), 283-295. MR 97e:30002. Zbl. 862.30003.
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218. Richard S. Varga and Igor E. Pritsker, On a counterexample in the theory of polynomials having concentration at low degrees, Analysis 16(1996), 365-378. MR 98c:30003. Zbl. 863.30002.
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219. A. Kroó, J. Szabados, and R. S. Varga, Weighted polynomial approximation of some entire functions on the real line, Festschrift for T. J. Rivlin, Annals of Numerical Mathematics 4(1997), 405-413. MR 98a:41008. Zbl. 885.41008.
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220. Igor E. Pritsker and Richard S. Varga, Weighted polynomial approximation in the complex plane, Electronic Research Announcements of the Amer. Math. Soc. 3(1997), 38-44. MR 98c:30048. Zbl. 0963.30024.
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221. Igor E. Pritsker and Richard S. Varga, The Szegö curve, zero distribution and weighted approximation, Trans. Amer. Math. Soc. 349(1997), 4085-4105. MR 97m:30054. Zbl. 970.60327 (pre).
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222. I. E. Pritsker and R. S. Varga, Weighted polynomial approximation in the complex plane, Const. Approx. 14(1998), 475-492. MR 99j:41015. Zbl. 920.30028.
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223. I. E. Pritsker and R. S. Varga, Zero distribution, the Szegö curve, and weighted polynomial approximation in the complex plane, Modelling and Computation for Applications in Mathematics, Science and Engineering (J. W. Jerome, ed.), pp. 167-188, Oxford University Press, 1998. MR 2000i.30066. Zbl. 926.30024.
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224. I. E. Pritsker and R. S. Varga, Weighted rational approximation in the complex plane, Journal de Mathematiques Pures et Appliquées 78(1999), 177-202. MR 2000b:30057. Zbl. 932.30036.
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225. Richard S. Varga and Alan Krautstengl, On Geršgorin-type problems and ovals of Cassini, ETNA, 8(1999), 15-20. MR 99k.15020. Zbl. 0927.15008. 
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226. Igor E. Pritsker and Richard S. Varga, Rational approximation with varying weights in the complex plane, Computational Methods and Function Theory (CMFT'97) (N. Papamichael, St. Ruscheweyh, and E. B. Saff , eds.), 437-448, World Scientific Publishing, NJ, 1999. MR 2000c:30072. Zbl. 943.30026.
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227. John Todd and Richard S. Varga, Hardy's inequality and ultrametric matrices, Linear Algebra Appl., 302-303 (1999), 33-43. MR 2001k:26030. Zbl. 0952-15011.
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228. V. V. Andrievskii, I. E. Pritsker, and R. S. Varga, On zeros of polynomials orthogonal over a convex domain, Const. Approx., 17 (2001), 209-225. MR 2002a:30005. Zbl. 0990.30003.
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229. Richard S. Varga, Geršgorin-type eigenvalue inclusion theorems and their sharpness, ETNA (Electronic Transactions on Numerical Analysis), 12(2001), 113-133. MR 2002c:15032. Zbl. 0979.15015.
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230. Richard S. Varga and Amos J. Carpenter, Zeros of the partial sums of cos(z) and sin(z). I., Numerical Algorithms, 25(2000), 363-375. MR 2002e:30006. Zbl. 0970.30006.
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231. V. V. Andrievskii, I. E. Pritsker, and R. S. Varga, Simultaneous approximation and interpolation of functions on continua in the complex plane, Journal de Mathematiques Pures et Appliquées 80(2001), 373-388. MR 2002b:41017. Zbl. 1033.30027.
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232. Richard S. Varga, Gerschgorin disks, Brauer ovals of Cassini (a vindication), and Brualdi sets, Information 4(2001), 171-178. MR 2002c:15016. Zbl. 1046.15021.
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233. Richard S. Varga and Amos J. Carpenter, Zeros of the partial sums of cos(z) and sin(z), II., Numer. Math. 90(2001), 371-400. MR 2003e:30010. Zbl. 0994.30008.
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234. Richard S. Varga, Gerschgorin's Theorem, Encyclopaedia of Mathematics, Supplement III(2001), 180-181.
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235. L. Cvetkovic, V. Kostik and R. S. Varga, A New Geršgorin-type eigenvalue inclusion set, ETNA (Electronic Transactions on Numerical Analysis) 18(2004), 73-80. 
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236. Laura Smithies and Richard S. Varga, Singular value decomposition Geršgorin-type sets, Linear Algebra Appl. 417(2006), 370-380. MR2250318, Zbl. pre 05053757.
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