AVAILABLE PUBLICATIONS

 

 
The files for the publications made available below may differ slightly 
from the files for the final versions published in journals and proceedings.
 

Recent Publications

• L. Reichel and Q. Ye
  Simple square smoothing regularization operators
  Electron. Trans. Numer. Anal., in press
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• L. Reichel, G. Rodriguez, and S. Seatzu
  Error estimates for large-scale ill-posed problems
  Numer. Algorithms, in press
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• K. Jbilou, L. Reichel, and H. Sadok
  Vector extrapolation enhanced TSVD for linear discrete ill-posed problems
  Numer. Algorithms, in press
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• B. de la Calle Ysern, G. Lo'pez Lagomasino, and L. Reichel
  Stieltjes-type polynomials on the unit circle
  Math. Comp., in press
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• S. Morigi, L. Reichel, and F. Sgallari
  An interior-point method for large constrained discrete ill-posed problems
  J. Comput. Appl. Math., in press
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• B. Lewis and L. Reichel
  Arnoldi-Tikhonov regularization methods
  J. Comput. Appl. Math., in press
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• L. Reichel and A. Shyshkov
  Cascadic multilevel methods for ill-posed problems
  J. Comput. Appl. Math., in press
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Bioinformatics

• Z.-H. Duan, B. Hughes, L. Reichel, D. M. Perez, and T. Shi
  The relationship between protein sequences and their gene ontology functions
  BMC Bioinformatics, 7 (Suppl 4) (2006), S11 (11 pages)
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Large-Scale Ill-Posed Problems

• L. Reichel and A. Shyshkov
  A new zero-finder for Tikhonov regularization
  BIT, 48 (2008), pp. 627-643
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• L. Reichel and H. Sadok
  A new L-curve for ill-posed problems
  J. Comput. Appl. Math., 219 (2008), pp. 493-508
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• S. Morigi, L. Reichel, F. Sgallari, and A. Shyshkov
  Cascadic multiresolution methods for image deblurring
  SIAM J. Imaging Sci., 1 (2008), pp. 51-74
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• L. Reichel, H. Sadok, and A. Shyshkov
  Greedy Tikhonov regularization for large linear ill-posed problems
  Int. J. Comput. Math., 84 (2007), pp. 1151-1166
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• S. Morigi, L. Reichel, and F. Sgallari
  Orthogonal projection regularization operators
  Numer. Algorithms, 44 (2007), pp. 99-114
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• S. Morigi, L. Reichel, F. Sgallari, and F. Zama
  An iterative method for linear discrete ill-posed problems with box constraints
  J. Comput. Appl. Math., 198 (2007), pp. 505-520
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• J. Baglama and L. Reichel
  Decomposition methods for large linear discrete ill-posed problems
  J. Comput. Appl. Math., 198 (2007), pp. 332-342
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• S. Morigi, L. Reichel, and F. Sgallari
  A truncated projected SVD method for linear discrete ill-posed problems
  Numer. Algorithms, 43 (2006), pp. 197-213
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• S. Morigi, L. Reichel, and F. Sgallari
  An iterative Lavrentiev regularization method
  BIT, 46 (2006), pp. 589-606
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• S. Morigi, L. Reichel, F. Sgallari, and F. Zama
  Iterative methods for ill-posed problems and semiconvergent sequences
  J. Comput. Appl. Math., 193 (2006), pp. 157-167
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• D. Calvetti, L. Reichel, and A. Shuibi
  Invertible smoothing preconditioners for linear discrete ill-posed problems
  Appl. Numer. Math., 54 (2005), pp. 135-149
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• D. Calvetti, L. Reichel, and A. Shuibi
  Tikhonov regularization of large symmetric problems
  Numer. Linear Algebra Appl., 12 (2005), pp. 127-139
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• D. Calvetti, B. Lewis, L. Reichel, and F. Sgallari
  Tikhonov regularization with nonnegativity constraint
  Electron. Trans. Numer. Anal., 18 (2004), pp. 153-173
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• D. Calvetti, G. Landi, L. Reichel, and F. Sgallari
  Nonnegativity and iterative methods for ill-posed problems
  Inverse Problems, 20 (2004), pp. 1747-1758
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• D. Calvetti and L. Reichel
  Tikhonov regularization with a solution constraint
  SIAM J. Sci. Comput, 26 (2004), pp. 224-239
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• D. Calvetti, L. Reichel, and A. Shuibi
  L-curve and curvature bounds for Tikhonov regularization
  Numer. Algorithms, 35 (2004), pp. 301-314
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• B. Lewis and L. Reichel
  Parallel deconvolution methods for three dimensional image restoration, in Advanced Signal Processing Algorithms, Architecture, and Implementations XIII, ed. F. T. Luk, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), vol. 5205, The International Society for Optical Engineering, Bellingham, WA, 2003, pp. 291-296
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• D. Calvetti and L. Reichel
  Tikhonov regularization of large linear problems
  BIT, 43 (2003), pp. 263-283
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• D. Calvetti, L. Reichel, and A. Shuibi
  Enriched Krylov subspace methods for ill-posed problems
  Linear Algebra Appl., 362 (2003), pp. 257-273
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• D. Calvetti and L. Reichel
  Lanczos-based exponential filtering for discrete ill-posed problems
  Numer. Algorithms, 29 (2002), pp. 45-65
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• D. Calvetti, B. Lewis, and L. Reichel
  A hybrid GMRES and TV-norm based method for image restoration, in Advanced Signal Processing Algorithms, Architecture, and Implementations XIII, ed. F. T. Luk, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), vol. 4791, The International Society for Optical Engineering, Bellingham, WA, 2002, pp. 192-200
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• D. Calvetti, B. Lewis, and L. Reichel
  On the regularizing properties of the GMRES method
  Numer. Math., 91 (2002), pp. 605-625
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• D. Calvetti, B. Lewis, and L. Reichel
  GMRES, L-curves, and discrete ill-posed problems
  BIT, 42 (2002), pp. 44-65
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• D. Calvetti, P. C. Hansen, and L. Reichel
  L-curve curvature bounds via Lanczos bidiagonalization
  Electron. Trans. Numer. Anal., 14 (2002), pp. 20-35
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• D. Calvetti, B. Lewis, and L. Reichel
  Krylov subspace iterative methods for nonsymmetric discrete ill-posed problems in image restoration
  Advanced Signal Processing Algorithms, Architectures, and Implementations XI, ed. F. T. Luk, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), vol. 4474, The International Society for Optical Engineering, Bellingham, WA, 2001, pp. 224-233
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• D. Calvetti, B. Lewis, and L. Reichel
  On the choice of subspace for iterative methods for linear discrete ill-posed problems
  Int. J. Appl. Math. Comput. Sci., 11 (2001), pp. 1069-1092
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Large-Scale Eigenvalue and Singular Value Problems

• J. Baglama and L. Reichel
  Augmented implicitly restarted Lanczos bidiagonalization methods
  SIAM J. Sci. Comput., 27 (2005), pp. 19-42.
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• J. Baglama, D. Calvetti, and L. Reichel
  IRBL: An implicitly restarted block Lanczos method for large-scale Hermitian eigenproblems
  SIAM J. Sci. Comput., 24 (2003), pp. 1650-1677
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Iterative Methods for Linear Systems of Equations and Optimization

• L. Reichel and Q. Ye
  A generalized LSQR algorithm
  Numer. Linear Algebra Appl., 15 (2008), pp. 643-660
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• B. Beckermann and L. Reichel
  The Arnoldi process and GMRES for nearly symmetric matrices
  SIAM J. Matrix Anal. Appl., 30 (2008), pp. 102-120
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• J. Baglama and L. Reichel
  Augmented GMRES-type methods
  Numer. Linear Algebra Appl., 14 (2007), pp. 337-350
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• L. Reichel and Q. Ye
  Breakdown-free GMRES for singular systems
  SIAM J. Matrix Anal. Appl., 26 (2005), pp. 1001-1021
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• D. Calvetti and L. Reichel
  Gauss quadrature applied to trust region computations
  Numer. Algorithms, 34 (2003), pp. 85-102
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• D. Calvetti and L. Reichel
  Pole placement preconditioning
  Linear Algebra Appl., 366 (2003), pp. 99-120
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• D. Calvetti, S. Morigi, L. Reichel, and F. Sgallari
  An iterative method with error estimators
  J. Comput. Appl. Math., 127 (2001), pp. 93-119
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Structured Problems in Linear Algebra

• S. Noschese, L. Pasquini, and L. Reichel
  The structured distance to normality of an irreducible real tridiagonal matrix
  Electron. Trans. Numer. Anal., 28 (2007), pp. 65-77
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• D. Calvetti, S.-M. Kim, and L. Reichel
  The restarted QR-algorithm for eigenvalue computation of structured matrices
  J. Comput. Appl. Math., 149 (2002), pp. 415-422
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• D. Calvetti, B. Lewis, and L. Reichel
  Partial eigenvalue assignment for large linear control systems
  Structured Matrices in Mathematics, Computer Science and Engineering I, ed. V. Olshevsky, Contemporary Mathematics, vol. 280, Amer. Math. Soc., Providence, RI, 2001, pp. 241-254
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• D. Calvetti, B. Lewis, and L. Reichel
  On the solution of large Sylvester-observer equations
  Numer. Linear Algebra Appl., 8 (2001), pp. 435-451
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Quadrature and Orthogonal Polynomials

• G. Lo'pez Lagomasino, L. Reichel, and L. Wunderlich
  Matrices, moments, and rational quadrature
  Linear Algebra Appl., 429 (2008), pp. 2540-2554
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• S.-M. Kim and L. Reichel
  Anti-Szego quadrature rules
  Math. Comp., 76 (2007), pp. 795-810
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• C. Jagels and L. Reichel
  Szego-Lobatto quadrature rules
  J. Comput. Appl. Math., 200 (2007), pp. 116-126
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• D. Calvetti, S.-M. Kim, and L. Reichel
  Quadrature rules based on the Arnoldi process
  SIAM J. Matrix Anal., 26 (2005), pp. 765-781
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• D. Calvetti and L. Reichel
  Symmetric Gauss-Lobatto and modified anti-Gauss rules
  BIT, 43 (2003), pp. 541-554
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Polynomial Computations

• D. Calvetti and L. Reichel
  On the evaluation of polynomial coefficients
  Numer. Algorithms, 33 (2003), pp. 153-161
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• D. Calvetti, L. Reichel, and F. Sgallari
  A modified companion matrix method based on Newton polynomials
  Fast Algorithms for Structured Matrices: Theory and Applications, ed. V. Olshevsky, Contemporary Mathematics, vol. 323, Amer. Math. Soc., Providence, RI, 2003, pp. 179-186
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• G. S. Ammar, D. Calvetti, W. B. Gragg, and L. Reichel
  Polynomial zerofinders based on Szego polynomials
  J. Comput. Appl. Math., 127 (2001), pp. 1-16
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Software

• J. Baglama and L. Reichel
  Restarted block Lanczos bidiagonalization methods
  Numer. Algorithms, 43 (2006), pp. 251-272
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• J. Baglama, D. Calvetti, and L. Reichel
  Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix
  ACM Trans. Math. Software, 29 (2003), pp. 337-348
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