**
PUBLICATIONS SINCE 2001
**

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

- S. Gazzola, S. Noschese, P. Novati, and L. Reichel

**Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems**

Appl. Numer. Math., in press

pdf file - A. Buccini, Y. Park, and L. Reichel

**Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems**

J. Comput. Appl. Math., in press

pdf file - R. Ramlau and L. Reichel

**Error estimates for Arnoldi-Tikhonov regularization for ill-posed operator equations**

Inverse Problems, in press

pdf file - O. De la Cruz Cabrera, M. Matar, and L. Reichel

**Analysis of directed networks via the matrix exponential**

J. Comput. Appl. Math., in press

pdf file - S. Noschese and L. Reichel

**Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices**

Numer. Linear Algebra Appl., in press

pdf file - A. Buccini and L. Reichel

**An l_2-l_q regularization method for large discrete ill-posed problems**

J. Sci. Comput., in press

pdf file - M. Kuian, L. Reichel, and S. V. Shiyanovskii

**Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes**

Numer. Algorithms, in press

pdf file - G. Huang, L. Reichel, and F. Yin

**On the choice of subspace for large-scale Tikhonov regularization problems in general form**

Numer. Algorithms, in press

pdf file

- 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)

html file

- A. H. Bentbib, M. El Guide, K. Jbilou, E. Onunwor, and L. Reichel

**Solution methods for linear discrete ill-posed problems for color image restoration**

BIT, 58 (2018), pp. 555-578

pdf file - L. Dykes, G. Huang, S. Noschese, and L. Reichel

**Regularization matrices for discrete ill-posed problems in several space-dimensions**

Numer. Linear Algebra Appl., 25 (2018), e2163 (16 pages)

pdf file - A. Buccini, Y. Park, and L. Reichel

**Numerical aspects of the nonstationary modified linearized Bregman algorithm**

Appl. Math. Comput., 337 (2018), pp. 386-398

pdf file - Y. Park, L. Reichel, G. Rodriguez, and X. Yu

**Parameter determination for Tikhonov regularization problems in general form**

J. Comput. Appl. Math., 343 (2018), pp. 12-25

pdf file - C. Fenu, L. Reichel, G. Rodriguez, and H. Sadok

**GCV for Tikhonov regularization by partial SVD**

BIT, 57 (2017), pp. 1019-1039

pdf file - A. Buccini, M. Donatelli, and L. Reichel

**Iterated Tikhonov regularization with a general penalty term**

Numer. Linear Algebra Appl., 24 (2017), e2089 (12 pages)

pdf file - L. Dykes, S. Noschese, and L. Reichel

**Circulant preconditioners for discrete ill-posed Toeplitz systems**

Numer. Algorithms, 75 (2017), pp. 477-490

pdf file - E. Onunwor and L. Reichel

**On the computation of a truncated SVD of a large linear discrete ill-posed problem**

Numer. Algorithms, 75 (2017), pp. 359-380

pdf file - S. Morigi, L. Reichel, and F. Sgallari

**Fractional Tikhonov regularization with a nonlinear penalty term**

J. Comput. Appl. Math., 324 (2017), pp. 142-154

pdf file - A. H. Bentbib, M. El Guide, K. Jbilou, and L. Reichel

**Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems**

J. Comput. Appl. Math., 322 (2017), pp. 46-56

pdf file - G. Huang, A. Lanza, S. Morigi, L. Reichel, and F. Sgallari

**Majorization-minimization generalized Krylov subspace methods for l_p-l_q optimization applied to image restoration**

BIT, 57 (2017), pp. 351-378

pdf file - Z.-Z. Bai, A. Buccini, K. Hayami, L. Reichel, J.-F. Yin, and N. Zheng

**Modulus-based iterative method for constrained Tikhonov regularization**

J. Comput. Appl. Math., 319 (2017), pp. 1-13

pdf file - C. Fenu, L. Reichel, and G. Rodriguez

**GCV for Tikhonov regularization via global Golub-Kahan decomposition**

Numer. Linear Algebra Appl., 23 (2016), pp. 467-484

pdf file - S. Gazzola and L. Reichel

**A new framework for multi-parameter regularization**

BIT, 56 (2016), pp. 919-949

pdf file - G. Huang, L. Reichel, and F. Yin

**On the choice of solution subspace for nonstationary iterated Tikhonov regularization**

Numer. Algorithms, 72 (2016), pp. 1043-1063

pdf file - G. Huang, L. Reichel, and F. Yin

**Projected nonstationary iterated Tikhonov regularization**

BIT, 56 (2016), pp. 467-487

pdf file -
S. Noschese and L. Reichel

**Some matrix nearness problems suggested by Tikhonov regularization**

Linear Algebra Appl., 502 (2016), pp. 366-386

pdf file -
G. Huang, S. Noschese, and L. Reichel

**Regularization matrices via matrix nearness problems**

Linear Algebra Appl., 502 (2016), pp. 41-57

pdf file -
T. Mach, L. Reichel, M. Van Barel, and R. Vandebril

**Adaptive cross approximation for ill-posed problems**

J. Comput. Appl. Math., 303 (2016), pp. 206-217

pdf file -
A. H. Bentbib, M. El Guide, K. Jbilou, and L. Reichel

**A global Lanczos method for image restoration**

J. Comput. Appl. Math., 300 (2016), pp. 233-244

pdf file -
S. Gazzola, E. Onunwor, L. Reichel, and G. Rodriguez

**On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems**

Numer. Linear Algebra Appl., 23 (2016), pp. 187-204

pdf file - D. Gerth, E. Klann, R. Ramlau, and L. Reichel

**On fractional Tikhonov regularization**

J. Inverse Ill-Posed Probl., 23 (2015), pp. 611-625

pdf file - L. Reichel and X. Yu

**Tikhonov regularization via flexible Arnoldi reduction**

BIT, 55 (2015), pp. 1145-1168

pdf file - A. Lanza, S. Morigi, L. Reichel, and F. Sgallari

**A generalized Krylov subspace method for l_p-l_q minimization**

SIAM J. Sci. Comput., 37 (2015), pp. S30-S50

pdf file - M. E. Hochstenbach, L. Reichel, and X. Yu

**A Golub-Kahan-type reduction method for matrix pairs**

J. Sci. Comput., 65 (2015), pp. 767-789

pdf file - M. E. Hochstenbach, S. Noschese, and L. Reichel

**Fractional regularization matrices for linear discrete ill-posed problems**

J. Eng. Math., 93 (2015), pp. 113-129

pdf file - A. Bouhamidi, K. Jbilou, L. Reichel, H. Sadok, and Z. Wang

**Vector extrapolation applied to truncated singular value decomposition and truncated iteration**

J. Eng. Math., 93 (2015), pp. 99-112

pdf file - L. Reichel and X. Yu

**Matrix decompositions for Tikhonov regularization**

Electron. Trans. Numer. Anal., 43 (2015), pp. 223-243

pdf file - T. Hearn and L. Reichel

**Image denoising via residual kurtosis minimization**

Numer. Math. Theor. Meth. Appl., 8 (2015), pp. 403-422

pdf file - M. Bellalij, L. Reichel, and H. Sadok

**Some properties of range restricted GMRES methods**

J. Comput. Appl. Math., 290 (2015), pp. 310-318

pdf file - S. Noschese and L. Reichel

**Lavrentiev-type regularization methods for Hermitian problems**

Calcolo, 52 (2015), pp. 187-205

pdf file - M. Donatelli, D. Martin, and L. Reichel

**Arnoldi methods for image deblurring with anti-reflective boundary conditions**

Appl. Math. Comput., 253 (2015), pp. 135-150

pdf file - L. Dykes, S. Noschese, and L. Reichel

**Rescaling the GSVD with application to ill-posed problems**

Numer. Algorithms, 68 (2015), pp. 531-545

pdf file - M. E. Hochstenbach, L. Reichel, and G. Rodriguez

**Regularization parameter determination for discrete ill-posed problems**

J. Comput. Appl. Math., 273 (2015), pp. 132-149

pdf file - S. Noschese and L. Reichel

**A modified TSVD method for discrete ill-posed problems**

Numer. Linear Algebra Appl., 21 (2014), pp. 813-822

pdf file - S. Noschese and L. Reichel

**Inverse subspace problems with applications**

Numer. Linear Algebra Appl., 21 (2014), pp. 589-603

pdf file - S. Morigi, L. Reichel, and F. Sgallari

**A general framework for nonlinear regularized Krylov-based image restoration**

in CompIMAGE 2014, eds. Y. Zhang and J. M. R. S. Tavares, Lecture Notes in Computer Science, vol. 8641, Springer, Berlin, 2014, pp. 273-279

pdf file - T. A. Hearn and L. Reichel

**Application of denoising methods to regularization of ill-posed problems**

Numer. Algorithms, 66 (2014), pp. 761-777

pdf file - M. Donatelli and L. Reichel

**Square smoothing regularization matrices with accurate boundary conditions**

J. Comput. Appl. Math., 272 (2014), pp. 334-349

pdf file - L. Dykes, F. Marcellan, and L. Reichel

**The structure of iterative methods for symmetric linear discrete ill-posed problems**

BIT, 54 (2014), pp. 129-145

pdf file - T. A. Hearn and L. Reichel

**Fast computation of convolution operations via low-rank approximation**

Appl. Numer. Math., 75 (2014), pp. 136-153

pdf file - K. Morikuni, L. Reichel, and K. Hayami

**FGMRES for linear discrete ill-posed problems**

Appl. Numer. Math., 75 (2014), pp. 175-187

pdf file - T. A. Hearn and L. Reichel

**Extensions of the Justen-Ramlau blind deconvolution method**

Adv. Comput. Math., 39 (2013), pp. 465-491

pdf file - D. R. Martin and L. Reichel

**Projected Tikhonov regularization of large-scale discrete ill-posed problems**

J. Sci. Comput., 56 (2013), pp. 471-493

pdf file - L. Dykes and L. Reichel

**A family of range restricted iterative methods for linear discrete ill-posed problems**

Dolomites Research Notes on Approximation, 6 (2013), pp. 27-36

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari

**A cascadic alternating Krylov subspace image restoration method**

in Scale Space and Variational Methods in Computer Vision 2013, eds. A. Kuijper et al., Lecture Notes in Computer Science, vol 7893, Springer, Berlin, 2013, pp. 98-108

pdf file - L. Dykes and L. Reichel

**Simplified GSVD computations for the solution of linear discrete ill-posed problems**

J. Comput. Appl. Math., 255 (2013), pp. 15-27

postscript file pdf file - L. Reichel and G. Rodriguez

**Old and new parameter choice rules for discrete ill-posed problems**

Numer. Algorithms, 63 (2013), pp. 65-87

postscript file pdf file - D. R. Martin and L. Reichel

**Minimization of functionals on the solution of a large-scale discrete ill-posed problem**

BIT, 53 (2013), pp. 153-173

pdf file - M. K. Khan, S. Morigi, L. Reichel, and F. Sgallari

**Iterative methods of Richardson-Lucy-type for image deblurring**

Numer. Math. Theor. Meth. Appl., 6 (2013), pp. 262-275

postscript file pdf file - M. Donatelli, A. Neuman, and L. Reichel

**Square regularization matrices for large linear discrete ill-posed problems**

Numer. Linear Algebra Appl., 19 (2012), pp. 896-913

postscript file pdf file - L. Dykes and L. Reichel

**On the reduction of Tikhonov minimization problems and the construction of regularization matrices**

Numer. Algorithms, 60 (2012), pp. 683-696

postscript file pdf file - S. Noschese and L. Reichel

**Inverse problems for regularization matrices**

Numer. Algorithms, 60 (2012), pp. 531-544

postscript file pdf file - L. Reichel, F. Sgallari, and Q. Ye

**Tikhonov regularization based on generalized Krylov subspace methods**

Appl. Numer. Math., 62 (2012), pp. 1215-1228

postscript file pdf file - A. Neuman, L. Reichel, and H. Sadok

**Implementations of range restricted iterative methods for linear discrete ill-posed problems**

Linear Algebra Appl., 436 (2012), pp. 3974-3990

postscript file pdf file -
M. E. Hochstenbach, N. McNinch, and L. Reichel

**Discrete ill-posed least-squares problems with a solution norm constraint**

Linear Algebra Appl., 436 (2012), pp. 3801-3818

postscript file pdf file - J. Lampe, L. Reichel, and H. Voss

**Large-scale Tikhonov regularization via reduction by orthogonal projection**

Linear Algebra Appl., 436 (2012), pp. 2845-2865

postscript file pdf file -
M. Fuhry and L. Reichel

**A new Tikhonov regularization method**

Numer. Algorithms, 59 (2012), pp. 433-445

pdf file -
J. O. Abad, S. Morigi, L. Reichel, and F. Sgallari

**Alternating Krylov subspace image restoration methods**

J. Comput. Appl. Math., 236 (2012), pp. 2049-2062

postscript file pdf file -
A. Bouhamidi, K. Jbilou, L. Reichel, and H. Sadok,

**A generalized global Arnoldi method for ill-posed matrix equations**

J. Comput. Appl. Math., 236 (2012), pp. 2078-2089

postscript file pdf file - M. E. Hochstenbach and L. Reichel

**Combining approximate solutions for linear discrete ill-posed problems**

J. Comput. Appl. Math., 236 (2012), pp. 2179-2185

pdf file - E. Klann, R. Ramlau, and L. Reichel

**Wavelet-based multilevel methods for linear ill-posed problems**

BIT, 51 (2011), pp. 669-694

pdf file - M. E. Hochstenbach and L. Reichel

**Fractional Tikhonov regularization for linear discrete ill-posed problems**

BIT, 51 (2011), pp. 197-215

postscript file pdf file - A. Bouhamidi, K. Jbilou, L. Reichel, and H. Sadok

**An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure**

Linear Algebra Appl., 434 (2011), pp. 1677-1688

pdf file - S. Morigi, R. Plemmons, L. Reichel, and F. Sgallari

**A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems**

Calcolo, 48 (2011), pp. 89-105

postscript file pdf file - M. E. Hochstenbach and L. Reichel

**An iterative method for Tikhonov regularization with a general linear regularization operator**

J. Integral Equations Appl., 22 (2010), pp. 463-480

postscript file pdf file - M. E. Hochstenbach and L. Reichel

**Subspace-restricted singular value decompositions for linear discrete ill-posed problems**

J. Comput. Appl. Math., 235 (2010), pp. 1053-1064

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari

**Cascadic multilevel methods for fast nonsymmetric blur- and noise-removal**

Appl. Numer. Math., 60 (2010), pp. 378-396

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari

**Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems**

Numer. Algorithms, 53 (2010), pp. 1-22

postscript file pdf file - L. Reichel and A. Shyshkov

**Cascadic multilevel methods for ill-posed problems**

J. Comput. Appl. Math., 233 (2010), pp. 1314-1325

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari

**An interior-point method for large constrained discrete ill-posed problems**

J. Comput. Appl. Math., 233 (2010), pp. 1288-1297

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari

**An edge-preserving multilevel method for deblurring, denoising, and segmentation**

in Scale Space and Variational Methods in Computer Vision, eds. X.-C. Tai, K. Morken, M. Lysaker, and K.-A. Lie, Lecture Notes in Computer Science, vol. 5567, Springer, Berlin, 2009, pp. 427-438

postscript file pdf file - L. Reichel and Q. Ye

**Simple square smoothing regularization operators**

Electron. Trans. Numer. Anal., 33 (2009), pp. 63-83

postscript file pdf file - L. Reichel, G. Rodriguez, and S. Seatzu

**Error estimates for large-scale ill-posed problems**

Numer. Algorithms, 51 (2009), pp. 341-361

postscript file pdf file - K. Jbilou, L. Reichel, and H. Sadok

**Vector extrapolation enhanced TSVD for linear discrete ill-posed problems**

Numer. Algorithms, 51 (2009), pp. 195-208.

postscript file pdf file - B. Lewis and L. Reichel

**Arnoldi-Tikhonov regularization methods**

J. Comput. Appl. Math., 226 (2009), pp. 92-102

postscript file pdf file - L. Reichel and A. Shyshkov

**A new zero-finder for Tikhonov regularization**

BIT, 48 (2008), pp. 627-643

postscript file pdf file - L. Reichel and H. Sadok

**A new L-curve for ill-posed problems**

J. Comput. Appl. Math., 219 (2008), pp. 493-508

postscript file pdf file - S. Morigi, L. Reichel, F. Sgallari, and A. Shyshkov

**Cascadic multiresolution methods for image deblurring**

SIAM J. Imaging Sci., 1 (2008), pp. 51-74

pdf file - 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

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari

**Orthogonal projection regularization operators**

Numer. Algorithms, 44 (2007), pp. 99-114

postscript file pdf file - 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

postscript file pdf file - J. Baglama and L. Reichel
**Decomposition methods for large linear discrete ill-posed problems**

J. Comput. Appl. Math., 198 (2007), pp. 332-342

postscript file pdf file - 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

postscript file pdf file - S. Morigi, L. Reichel, and F. Sgallari
**An iterative Lavrentiev regularization method**

BIT, 46 (2006), pp. 589-606

postscript file pdf file - 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

postscript file pdf file - D. Calvetti, L. Reichel, and A. Shuibi
**Invertible smoothing preconditioners for linear discrete ill-posed problems**

Appl. Numer. Math., 54 (2005), pp. 135-149

postscript file pdf file - D. Calvetti, L. Reichel, and A. Shuibi
**Tikhonov regularization of large symmetric problems**

Numer. Linear Algebra Appl., 12 (2005), pp. 127-139

postscript file pdf file - D. Calvetti, B. Lewis, L. Reichel, and F. Sgallari
**Tikhonov regularization with nonnegativity constraint**

Electron. Trans. Numer. Anal., 18 (2004), pp. 153-173

postscript file pdf file - D. Calvetti, G. Landi, L. Reichel, and F. Sgallari
**Nonnegativity and iterative methods for ill-posed problems**

Inverse Problems, 20 (2004), pp. 1747-1758

postscript file pdf file - D. Calvetti and L. Reichel
**Tikhonov regularization with a solution constraint**

SIAM J. Sci. Comput, 26 (2004), pp. 224-239

postscript file pdf file - D. Calvetti, L. Reichel, and A. Shuibi
**L-curve and curvature bounds for Tikhonov regularization**

Numer. Algorithms, 35 (2004), pp. 301-314

postscript file pdf file - 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

postscript file pdf file - D. Calvetti and L. Reichel
**Tikhonov regularization of large linear problems**

BIT, 43 (2003), pp. 263-283

postscript file pdf file - D. Calvetti, L. Reichel, and A. Shuibi
**Enriched Krylov subspace methods for ill-posed problems**

Linear Algebra Appl., 362 (2003), pp. 257-273

postscript file pdf file - D. Calvetti and L. Reichel
**Lanczos-based exponential filtering for discrete ill-posed problems**

Numer. Algorithms, 29 (2002), pp. 45-65

postscript file pdf file - 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

postscript file pdf file -
D. Calvetti, B. Lewis, and L. Reichel

**On the regularizing properties of the GMRES method**

Numer. Math., 91 (2002), pp. 605-625

postscript file pdf file -
D. Calvetti, B. Lewis, and L. Reichel

**GMRES, L-curves, and discrete ill-posed problems**

BIT, 42 (2002), pp. 44-65

postscript file pdf file -
D. Calvetti, P. C. Hansen, and L. Reichel

**L-curve curvature bounds via Lanczos bidiagonalization**

Electron. Trans. Numer. Anal., 14 (2002), pp. 20-35

postscript file pdf file -
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

postscript file pdf file -
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

postscript file pdf file

- J. Baglama and L. Reichel

**An implicitly restarted block Lanczos bidiagonalization method using Leja shifts**

BIT, 53 (2013), pp. 285-310

pdf file - J. Baglama and L. Reichel

**Augmented implicitly restarted Lanczos bidiagonalization methods**

SIAM J. Sci. Comput., 27 (2005), pp. 19-42

postscript file pdf file - 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

postscript file pdf file

- J. Ku and L. Reichel

**Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems**

J. Comput. Appl. Math., 343 (2018), pp. 240-249

pdf file - M. Alkilayh, L. Reichel, and J. Y. Yuan

**New zero-finders for trust-region computations**

Numer. Algorithms, 76 (2017), pp. 361-375

pdf file - S. Noschese and L. Reichel

**A note on superoptimal generalized circulant preconditioners**

Appl. Numer. Math., 75 (2014), pp. 188-195

pdf file - J. Baglama, L. Reichel, and D. Richmond

**An augmented LSQR method**

Numer. Algorithms, 64 (2013), pp. 263-293

pdf file - B. Philippe and L. Reichel

**On the generation of Krylov subspace bases**

Appl. Numer. Math., 62 (2012), pp. 1171-1186

postscript file pdf file - S. Noschese and L. Reichel

**Generalized circulant Strang-type preconditioners**

Numer. Linear Algebra Appl., 19 (2012), pp. 3-17

postscript file pdf file - L. Reichel and Q. Ye

**A generalized LSQR algorithm**

Numer. Linear Algebra Appl., 15 (2008), pp. 643-660

postscript file pdf file - B. Beckermann and L. Reichel

**The Arnoldi process and GMRES for nearly symmetric matrices**

SIAM J. Matrix Anal. Appl., 30 (2008), pp. 102-120

pdf file - J. Baglama and L. Reichel

**Augmented GMRES-type methods**

Numer. Linear Algebra Appl., 14 (2007), pp. 337-350

pdf file -
L. Reichel and Q. Ye

**Breakdown-free GMRES for singular systems**

SIAM J. Matrix Anal. Appl., 26 (2005), pp. 1001-1021

postscript file pdf file -
D. Calvetti and L. Reichel

**Gauss quadrature applied to trust region computations**

Numer. Algorithms, 34 (2003), pp. 85-102

postscript file pdf file -
D. Calvetti and L. Reichel

**Pole placement preconditioning**

Linear Algebra Appl., 366 (2003), pp. 99-120

postscript file pdf file -
D. Calvetti, S. Morigi, L. Reichel, and F. Sgallari

**An iterative method with error estimators**

J. Comput. Appl. Math., 127 (2001), pp. 93-119

postscript file pdf file

- S. Noschese and L. Reichel

**Computing unstructured and structured polynomial pseudospectrum approximations**

J. Comput. Appl. Math., 350 (2019), pp. 57-68

pdf file - M. Kuian, L. Reichel, and S. V. Shiyanovskii

**Accuracy optimization of combined multiparameter measuring systems with application to polarized light microscopy**

Phys. Rev. E, 97 (2018), 063305 (8 pages)

pdf file - S. Noschese and L. Reichel

**Approximated structured pseudospectra**

Numer. Linear Algebra Appl., 24 (2017), e2082 (11 pages)

pdf file - D. Calvetti, L. Reichel, and H. Xu

**A CS decomposition for orthogonal matrices with application to eigenvalue computation**

Linear Algebra Appl., 476 (2015), pp. 197-232

pdf file - C. Jagels and L. Reichel

**The structure of matrices in rational Gauss quadrature**

Math. Comp., 82 (2013), pp. 2035-2060

postscript file pdf file - S. Noschese, L. Pasquini, and L. Reichel

**Tridiagonal Toeplitz matrices: properties and novel applications**

Numer. Linear Algebra Appl., 20 (2013), pp. 302-326

postscript file pdf file - S. Noschese and L. Reichel

**The structured distance to normality of Toeplitz matrices with application to preconditioning**

Numer. Linear Algebra Appl., 18 (2011), pp. 429-447

postscript file pdf file - C. Jagels and L. Reichel

**Recursion relations for the extended Krylov subspace method**

Linear Algebra Appl., 434 (2011), pp. 1716-1732

postscript file pdf file - S. Noschese and L. Reichel

**The structured distance to normality of banded Toeplitz matrices**

BIT, 49 (2009), pp. 629-640

postscript file pdf file - C. Jagels and L. Reichel

**The extended Krylov subspace method and orthogonal Laurent polynomials**

Linear Algebra Appl., 431 (2009), pp. 441-458

postscript file pdf file - 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

postscript file pdf file -
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

postscript file pdf file -
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

postscript file pdf file -
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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- D. Lj. Djukic', L. Reichel, M. M. Spalevic', and J. D. Tomanovic'

**Internality of generalized averaged Gauss quadrature rules and truncations variants for modified Chebyshev measures of the second kind**

J. Comput. Appl. Math., 345 (2019), pp. 70-85

pdf file - A. H. Bentbib, M. El Ghomari, C. Jagels, K. Jbilou, and L. Reichel

**The extended global Lanczos method for matrix function approximation**

Electron. Trans. Numer. Anal., 50 (2018), pp. 144-163

pdf file - H. Alqahtani and L. Reichel

**Multiple orthogonal polynomials applied to matrix function evaluation**

BIT, 58 (2018), pp. 835-859

pdf file - H. Alqahtani and L. Reichel

**Simplified anti-Gauss quadrature rules with applications in linear algebra**

Numer. Algorithms, 77 (2018), pp. 577-602

pdf file - N. Eshghi, L. Reichel, and M. M. Spalevic

**Enhanced matrix function approximation**

Electron. Trans. Numer. Anal., 47 (2017), pp. 197-205

pdf file - C. Jagels, L. Reichel, and T. Tang

**Generalized averaged Szego quadrature rules**

J. Comput. Appl. Math., 311 (2017), pp. 645-654

pdf file - D. Lj. Djukic', L. Reichel, M. M. Spalevic', and J. D. Tomanovic'

**Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szego weights**

Electron. Trans. Numer. Anal., 45 (2016), pp. 405-419

pdf file - D. Lj. Djukic', L. Reichel, and M. M. Spalevic'

**Truncated generalized averaged Gauss quadrature rules**

J. Comput. Appl. Math., 308 (2016), pp. 408-418

pdf file - L. Reichel, G. Rodriguez, and T. Tang

**New block quadrature rules for the approximation of matrix functions**

Linear Algebra Appl., 502 (2016), pp. 299-326

pdf file - L. Reichel, M. Spalevic', and T. Tang

**Generalized averaged Gauss quadrature rules for the approximation of matrix functionals**

BIT, 56 (2016), pp. 1045-1067

pdf file - C. Jagels and L. Reichel

**On the computation of Gauss quadrature rules for measures with a monomial denominator**

J. Comput. Appl. Math., 286 (2015), pp. 102-113

pdf file - M. Pranic' and L. Reichel

**Generalized anti-Gauss quadrature rules**

J. Comput. Appl. Math., 284 (2015), pp. 235-243

pdf file - M. Bellalij, L. Reichel, G. Rodriguez, and H. Sadok

**Bounding matrix functionals via partial global block Lanczos decomposition**

Appl. Numer. Math., 94 (2015), pp. 127-139

pdf file - J. Baglama, C. Fenu, L. Reichel, and G. Rodriguez

**Analysis of directed networks via partial singular value decomposition and Gauss quadrature**

Linear Algebra Appl., 456 (2014), pp. 93-121

pdf file - M. S. Pranic' and L. Reichel

**Rational Gauss quadrature**

SIAM J. Numer. Anal., 52 (2014), pp. 832-851

pdf file - L. Reichel

**Polynomials orthogonal on the semicircle**

in Walter Gautschi: Selected Works with Commentaries, vol. 2, eds. C. Brezinski and A. Sameh, Springer, New York, 2014, pp. 17-22

pdf file - C. Fenu, D. Martin, L. Reichel, and G. Rodriguez

**Block Gauss and anti-Gauss quadrature with application to networks**

SIAM J. Matrix Anal. Appl., 34 (2013), pp. 1655-1684

pdf file - C. Fenu, D. Martin, L. Reichel, and G. Rodriguez

**Network analysis via partial spectral factorization and Gauss quadrature**

SIAM J. Sci. Comput., 35 (2013), pp. A2046-A2068

pdf file - S.-M. Kim and L. Reichel

**Sensitivity analysis for Szego polynomials**

Numer. Math., 113 (2009), pp. 265-279

postscript file pdf file - B. de la Calle Ysern, G. Lo'pez Lagomasino, and L. Reichel

**Stieltjes-type polynomials on the unit circle**

Math. Comp., 78 (2009), pp. 969-997

postscript file pdf file - G. Lo'pez Lagomasino, L. Reichel, and L. Wunderlich

**Matrices, moments, and rational quadrature**

Linear Algebra Appl., 429 (2008), pp. 2540-2554

postscript file pdf file - S.-M. Kim and L. Reichel

**Anti-Szego quadrature rules**

Math. Comp., 76 (2007), pp. 795-810

postscript file pdf file - 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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- M. Pranic', L. Reichel, G. Rodriguez, Z. Wang, and X. Yu

**A rational Arnoldi process with applications**

Numer. Linear Algebra Appl., 23 (2016), pp. 1007-1022

pdf file - C. Jagels, T. Mach, L. Reichel, and R. Vandebril

**Convergence rates for inverse-free rational approximation of matrix functions**

Linear Algebra Appl., 510 (2016), pp. 291-310

pdf file - M. S. Pranic' and L. Reichel

**Recurrence relations for orthogonal rational functions**

Numer. Math., 123 (2013), pp. 629-642

postscript file pdf file - B. Beckermann and L. Reichel

**Error estimation and evaluation of matrix functions via the Faber transform**

SIAM J. Numer. Anal., 47 (2009), pp. 3849-3883

pdf file -
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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- J. Baglama, L. Reichel, and B. W. Lewis

**irlba: Fast truncated SVD, PCA and symmetric eigendecomposition for large dense and sparse matrices**

R package version 2.1.2, 2016. Available at https://CRAN.R-project.org/package=irlba

This is a package for the statistical computing environment R. It is the leading algorithm for truncated SVD computations. The algorithm has been downloaded more than one million times. - A. Neuman, L. Reichel, and H. Sadok

**Algorithms for range restricted iterative methods for linear discrete ill-posed problems**

Numer. Algorithms, 59 (2012), pp. 325-331

postscript file pdf file - J. Baglama and L. Reichel

**Restarted block Lanczos bidiagonalization methods**

Numer. Algorithms, 43 (2006), pp. 251-272

postscript file pdf file -
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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