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Richard S.
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ONLINE
PUBLICATIONS:
ICM
Technical Reports submitted by Dr. Richard S. Varga: All articles published in
ETNA (Electronic Transactions on Numerical Analysis) are linked online,
below, in the list of publications.
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BOOKS AND
MONOGRAPHS: 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 PUBLICATIONS:
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. 2. Richard S. Varga, Eigenvalues
of circulant matrices, Pacific J. Math. 4 (1954), 151-160. MR 15, p. 745.
Zbl. 55, p. 10. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 13. Richard S. Varga,
Orderings of the successive overrelaxation scheme, Pacific J. Math. 9 (1959),
925-939. MR 22, 4113. Zbl. 92, p. 128. 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. 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. 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. 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. 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. 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. 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. 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. 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.
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. 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. 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. 26. Richard S. Varga, On
smallest isolated Gerschgorin disks for eigenvalues, Numer. Math. 6 (1964),
366-376. MR 30, 4379. Zbl. 131, p. 142. 27. Richard S. Varga, Iterative
methods for solving matrix equations, Amer. Math. Monthly 72(1965), 67-74. MR
30, 2677. Zbl. 151, p. 214. 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. 29. Richard S. Varga,
Minimal Gerschgorin sets, Pacific J. Math. 15 (1965), 719-729. MR 32, 1206.
Zbl. 168, p. 29. 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. 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. 32. Richard S. Varga, On a
discrete maximum principle, SIAM J. Numer. Anal. 3 (1966), 355-359. MR 34,
2219. Zbl. 143, p. 176. 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. 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. 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. 36. M. H. Schultz and R. S.
Varga, L-splines, Numer. Math. 10 (1967), 345-369. MR 37, 665. Zbl. 183, p.
444. 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. 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. 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. 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. 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. 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. 43. H. S. Price, J. C.
Cavendish, and R. S. Varga, Numerical methods of higher-order accuracy for
diffusion-convection equations, Soc. Petroleum Engineers J. 8 (1968), 293-303.
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. 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. 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. 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. 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. 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. 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. 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.
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. 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. 54. R. J. Herbold, M. H.
Schultz, and R. S. Varga, The effect 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. 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. 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. 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. 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.
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. 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. 61. Richard S. Varga,
Minimal Gerschgorin sets for partitioned matrices, SIAM J. Numer. Anal. 7
(1970), 493-507. MR 44, 1209. Zbl. 221.15015. 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. 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. 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. 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. 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. 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. 68. R. J. Herbold and R. S.
Varga, The effect of quadrature errors in the numerical solution of
two-dimensional boundary value problems by variational techniques,
Aequationes Math. 7 (1972), 36-58. MR 45, 8028. Zbl. 233.65056. 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. 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. 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. 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. 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. 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. 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, Birkhäuser Verlag, Basel and
Stuttgart, 1972. MR 51, 9506; MR 52, 14763. Zbl. 253.41012. 76. David H. Carlson and
Richard S. Varga, Minimal G-functions, Linear Algebra Appl. 6 (1973), 97-117.
MR 49, 7272. Zbl. 246.15009. 77. Richard S. Varga, On a
connection between infima of norms and eigenvalues of associated operators,
Linear Algebra Appl. 6 (1973), 249-256. MR 47, 257. Zbl. 246.15027. 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. 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. 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. 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. 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.
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. 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. 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. 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. 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. 88. E. B. Saff and R. S. Varga,
On the zeros and poles of Padé approximants to ez, Numer. Math. 25
(1975), 1-14. MR 53, 3273. Zbl. 322.41010. 89. E. B. Saff and R. S. Varga,
Angular overconvergence for rational functions converging geometrically on
[0; +∞), 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. 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. 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. 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. 93. G. Alefeld und R. S.
Varga, Zur Konvergenz des symmetrischen Relaxationsverfahrens, Numer. Math.
25 (1976), 291-295. MR 56, 4128. Zbl. 319.65030. 94. E. B. Saff, A.
Schönhage, 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. 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. 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. 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. 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. 99. E. B. Saff and R. S.
Varga, The behavior of the Padé 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. 100. Richard S. Varga, A
note on an open question on ω- and τ-matrices, Linear Algebra Appl. 18
(1977), 45-52. MR 57, 12555. Zbl. 361.15018. 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. 102. E. B. Saff and R. S.
Varga, On the zeros and poles of Padé approximants to ez. II, Padé
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. 103. E. B. Saff and R. S.
Varga, Some open problems concerning polynomials and rational functions, Padé
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. 104. G. M. Engel and R. S.
Varga, Minimal Geršgorin sets and ω-matrices, Linear and Multilinear
Algebra 5 (1977), 1-10. MR 56, 8597. Zbl. 387.15005. 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. 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. 107. E. B. Saff and R. S.
Varga, On the zeros and poles of Padé approximants to ez. III,
Numer. Math. 30 (1978), 241-266. MR 58, 11433. Zbl. 438.41015. 108. A. Berman, R. S.
Varga, and R. C. Ward, ALPS: Matrices with nonpositive off-diagonal entries,
Linear Algebra Appl. 21 (1978), 233-244. MR 58, 22119. Zbl. 401.15018. 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, Birkhäuser Verlag, Basel and Stuttgart, 1978. MR 80d:41008. Zbl. 408.41008. 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. 111. D. S. Moak, E. B. Saff
and R. S. Varga, On the zeros of Jacobi polynomials Pn (αn ,βn )(x), Trans. Amer. Soc. 249(1979), 159-162. MR 80g:33021. Zbl. 414.33009. 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. 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. 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., Vyčisl. Dentr, Novosibirsk, 1978. MR 81m:65062. Zbl. 435.15002. 115. John J. Buoni and
Richard S. Varga, Theorems of Stein-Rosenberg Type, Numerical Mathematics (R.
Ansorge, K. Glashof, B. Werner, eds.), pp. 65-75, ISNM 49, Birkhäuser Verlag,
Basel, 1979. MR 83b:65028. Zbl. 412.65016. 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. 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. Coffman and G. J. Fix, eds.), pp. 421-437, Academic Press, Inc., New York,
1979. MR 81f:41006. Zbl. 441.41004. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 130. Edward B. Saff and
Richard S. Varga, On lacunary incomplete polynomials, Math. Zeit. 177 (1981),
297-314. MR 83a:41008. Zbl. 451.42008. 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. 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. 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. 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. 135. R. S. Varga and D.-Y.
Cai, On the LU factorization of M-matrices: cardinality of the set Png
(A), SIAM J. Algebraic Discrete Methods 3 (1982), 250-259. MR 83i:15018. Zbl.
504.15004. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 171. Arden Ruttan and Richard
S. Varga, Real vs. complex rational Chebyshev approximation on an interval,
Rocky Mountain J. of Math. 19 (1989), 375-381. MR 90j:41030. Zbl. 722.41018. 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. 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. 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. 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. 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. 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. 178. R. S. Varga and A. J.
Carpenter, Asymptotics for the zeros of the partial sums of ez.
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. 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. 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. 181. George Csordas,
Richard S. Varga, and István Vincze, Jensen polynomials with applications to
the Riemann ξ-function, J. Math. Anal. Appl. 153
(1990), 112-135. MR 92g:11087. Zbl. 708.30008. 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. 183. E. C. Gartland, Jr.,
P. Palffy-Muhoray, and R. S. Varga, Numerical minimization of the Landaude-de
Gennes free energy: defects in cylindrical capillaries, Mol. Cryst. Liq.
Cryst. 199(1991), 429-452. 184. A. J. Carpenter, R. S.
Varga, and J. Waldvogel, Asymptotics for the zeros of the partial sums of ez.
I., Rocky Mountain J. of Math. 21(1991), 99-120. MR 92m:33003.
Zbl. 734.30008. 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. 186. R. S. Varga, A.
Ruttan, and A. J. Carpenter, Chislennie rezultati o nailuchshikh ravnomernikh
ratsionalnikh approksimatsiyakh funktsii lxl na otrezke [-1,+1],
Mat. Sbornik 182(No. 11)(1991), 1523-1541. MR
92i.65040. Zbl. 739.65010. 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. 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. 189. R. S. Varga and A. J.
Carpenter, Some numerical results on best uniform rational approximation of χα on [0; 1], Numerical Algorithms
2(1992), 171-185. MR 93b:65024. Zbl. 763.41025. 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. 191. Richard S. Varga, On a
generalization of Mahler's inequality, Analysis 12(1992), 319-333. MR
93j:30002. Zbl. 765.30001. 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. 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. 194. Amos J. Carpenter and
Richard S. Varga, Some numerical results on best uniform polynomial
approximation of xα
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. 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. 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. 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. 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. 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. 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. 201. Roger W. Barnard, Kent
Pearce, and Richard S. Varga, An application from partial sums of ez
to a problem in several complex variables, J. Comput. Applied Math. 46(1993),
271-279. MR 94e:32037. Zbl. 802.32010. 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. 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. 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. 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. 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. 207. Richard S. Varga and
Amos J. Carpenter, Asymptotics for the zeros and poles of normalized Padé
approximants to ez, Numer. Math. 68(1994), 169-185. MR 96a:30007.
Zbl. 807.30003. 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. 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. 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. 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. 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. 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. 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. 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. 216. Richard S. Varga and
Alan Krautstengl, Minimal Gerschgorin sets for partitioned matrices III. The
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8(1999), 15-20. MR 99k.15020. Zbl. 0927.15008. 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,
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convex domain, Const. Approx., 17 (2001), 209-225. MR 2002a:30005. Zbl.
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Transactions on Numerical Analysis), 12(2001), 113-133. MR 2002c:15032. Zbl.
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Amos J. Carpenter, Zeros of the partial sums of cos(z)
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functions on continua in the complex plane, Journal de Mathématiques Pures et
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Gerschgorin disks, Brauer ovals of Cassini (a vindication), and Brualdi sets,
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ETNA (Electronic Transactions on Numerical Analysis) 18(2004), 73-80. MR
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Algebra Appl. 417(2006), 370-380. MR 2250318. Zbl. 1101.15017. 237. V. V. Andrievskii, R.
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sums of ez, Conput. Methods Func. Theory 6 (2006), 447-458. MR
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Carpenter, and B. W. Lewis, The dynamical motion of the zeros of the partial
sums of ez and its relationships to discrepancy theory, ETNA
(Electronic Transactions on Numerical Analysis) 30 (2008), 128-143. MR
2480073. Zbl. 1175.30010. 240. R. S. Varga, L.
Cvetković, and V. Kostić, Approximation of the minimal Geršgorin
set of a square complex matrix, ETNA (Electronic Transactions on Numerical
Analysis) 30 (2008), 398-405. MR 2487769. Zbl. 1188.15008. 241. V. Kostić, L.
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the Perron-Frobenius Theory of nonnegative matrices to a transistor
application, Linear Algebra Appl. (2010), |
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Department of Mathematical Sciences
Kent State University, Kent, Ohio