Alkilayh, Maged; Reichel, Lothar; Ye, Qiang A method for computing a few eigenpairs of large generalized eigenvalue problems. (English) Zbl 1505.65169 Appl. Numer. Math. 183, 108-117 (2023). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. Alkilayh} et al., Appl. Numer. Math. 183, 108--117 (2023; Zbl 1505.65169) Full Text: DOI
Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L. Shifted extended global Lanczos processes for trace estimation with application to network analysis. (English) Zbl 1470.65076 Calcolo 58, No. 1, Paper No. 4, 36 p. (2021). MSC: 65F60 65D32 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Calcolo 58, No. 1, Paper No. 4, 36 p. (2021; Zbl 1470.65076) Full Text: DOI
Kuian, Mykhailo; Reichel, Lothar; Shiyanovskii, Sergij Optimally conditioned Vandermonde-like matrices. (English) Zbl 1427.65055 SIAM J. Matrix Anal. Appl. 40, No. 4, 1399-1424 (2019). MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{M. Kuian} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1399--1424 (2019; Zbl 1427.65055) Full Text: DOI
Alkilayh, Maged; Reichel, Lothar; Yuan, Jin Yun New zero-finders for trust-region computations. (English) Zbl 1394.65040 Numer. Algorithms 76, No. 2, 361-375 (2017). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 49M15 49M37 PDFBibTeX XMLCite \textit{M. Alkilayh} et al., Numer. Algorithms 76, No. 2, 361--375 (2017; Zbl 1394.65040) Full Text: DOI
Onunwor, Enyinda; Reichel, Lothar On the computation of a truncated SVD of a large linear discrete ill-posed problem. (English) Zbl 1368.65063 Numer. Algorithms 75, No. 2, 359-380 (2017). MSC: 65F20 65F22 PDFBibTeX XMLCite \textit{E. Onunwor} and \textit{L. Reichel}, Numer. Algorithms 75, No. 2, 359--380 (2017; Zbl 1368.65063) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems. (English) Zbl 1365.65102 J. Comput. Appl. Math. 322, 46-56 (2017). MSC: 65F22 65F10 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 322, 46--56 (2017; Zbl 1365.65102) Full Text: DOI
Pranić, Miroslav S.; Reichel, Lothar; Rodriguez, Giuseppe; Wang, Zhengsheng; Yu, Xuebo A rational Arnoldi process with applications. (English) Zbl 1424.65042 Numer. Linear Algebra Appl. 23, No. 6, 1007-1022 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 65F60 PDFBibTeX XMLCite \textit{M. S. Pranić} et al., Numer. Linear Algebra Appl. 23, No. 6, 1007--1022 (2016; Zbl 1424.65042) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. A global Lanczos method for image restoration. (English) Zbl 1382.94009 J. Comput. Appl. Math. 300, 233-244 (2016). MSC: 94A08 65F10 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 300, 233--244 (2016; Zbl 1382.94009) Full Text: DOI
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar Fractional regularization matrices for linear discrete ill-posed problems. (English) Zbl 1360.65113 J. Eng. Math. 93, 113-129 (2015). MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Eng. Math. 93, 113--129 (2015; Zbl 1360.65113) Full Text: DOI Link
Calvetti, D.; Reichel, L.; Xu, H. A CS decomposition for orthogonal matrices with application to eigenvalue computation. (English) Zbl 1316.65044 Linear Algebra Appl. 476, 197-232 (2015). MSC: 65F15 15A23 15B10 PDFBibTeX XMLCite \textit{D. Calvetti} et al., Linear Algebra Appl. 476, 197--232 (2015; Zbl 1316.65044) Full Text: DOI
Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H. Bounding matrix functionals via partial global block Lanczos decomposition. (English) Zbl 1325.65060 Appl. Numer. Math. 94, 127-139 (2015). MSC: 65F30 65D30 68T05 PDFBibTeX XMLCite \textit{M. Bellalij} et al., Appl. Numer. Math. 94, 127--139 (2015; Zbl 1325.65060) Full Text: DOI
Martin, David R.; Reichel, Lothar Projected Tikhonov regularization of large-scale discrete ill-posed problems. (English) Zbl 1280.65038 J. Sci. Comput. 56, No. 3, 471-493 (2013). Reviewer: Michael Jung (Dresden) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{D. R. Martin} and \textit{L. Reichel}, J. Sci. Comput. 56, No. 3, 471--493 (2013; Zbl 1280.65038) Full Text: DOI
Baglama, James; Reichel, Lothar An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. (English) Zbl 1269.65038 BIT 53, No. 2, 285-310 (2013). MSC: 65F20 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, BIT 53, No. 2, 285--310 (2013; Zbl 1269.65038) Full Text: DOI
Martin, David R.; Reichel, Lothar Minimization of functionals on the solution of a large-scale discrete ill-posed problem. (English) Zbl 1262.65053 BIT 53, No. 1, 153-173 (2013). MSC: 65F22 65K05 90C05 90C06 PDFBibTeX XMLCite \textit{D. R. Martin} and \textit{L. Reichel}, BIT 53, No. 1, 153--173 (2013; Zbl 1262.65053) Full Text: DOI
Hochstenbach, M. E.; McNinch, N.; Reichel, L. Discrete ill-posed least-squares problems with a solution norm constraint. (English) Zbl 1237.65039 Linear Algebra Appl. 436, No. 10, 3801-3818 (2012). MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Linear Algebra Appl. 436, No. 10, 3801--3818 (2012; Zbl 1237.65039) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Fractional Tikhonov regularization for linear discrete ill-posed problems. (English) Zbl 1215.65075 BIT 51, No. 1, 197-215 (2011). Reviewer: Daniel Kressner (Lausanne) MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, BIT 51, No. 1, 197--215 (2011; Zbl 1215.65075) Full Text: DOI
Reichel, Lothar; Shyshkov, Andriy A new zero-finder for Tikhonov regularization. (English) Zbl 1161.65029 BIT 48, No. 3, 627-643 (2008). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{A. Shyshkov}, BIT 48, No. 3, 627--643 (2008; Zbl 1161.65029) Full Text: DOI
Kim, Sun-Mi; Reichel, Lothar Anti-Szegő quadrature rules. (English) Zbl 1115.65025 Math. Comput. 76, No. 258, 795-810 (2007). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{S.-M. Kim} and \textit{L. Reichel}, Math. Comput. 76, No. 258, 795--810 (2007; Zbl 1115.65025) Full Text: DOI
Jagels, Carl; Reichel, Lothar Szegő-Lobatto quadrature rules. (English) Zbl 1109.65027 J. Comput. Appl. Math. 200, No. 1, 116-126 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65F15 41A55 PDFBibTeX XMLCite \textit{C. Jagels} and \textit{L. Reichel}, J. Comput. Appl. Math. 200, No. 1, 116--126 (2007; Zbl 1109.65027) Full Text: DOI
Baglama, James; Reichel, Lothar Restarted block Lanczos bidiagonalization methods. (English) Zbl 1110.65027 Numer. Algorithms 43, No. 3, 251-272 (2006). MSC: 65F15 65F20 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, Numer. Algorithms 43, No. 3, 251--272 (2006; Zbl 1110.65027) Full Text: DOI
Morigi, S.; Reichel, L.; Sgallari, F. An iterative Lavrentiev regularization method. (English) Zbl 1107.65038 BIT 46, No. 3, 589-606 (2006). Reviewer: Andreas Meister (Kassel) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Morigi} et al., BIT 46, No. 3, 589--606 (2006; Zbl 1107.65038) Full Text: DOI
Calvetti, D.; Reichel, L. Pole placement preconditioning. (English) Zbl 1018.65059 Linear Algebra Appl. 366, 99-120 (2003). MSC: 65F35 65F10 93B55 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, Linear Algebra Appl. 366, 99--120 (2003; Zbl 1018.65059) Full Text: DOI
Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar The restarted QR-algorithm for eigenvalue computation of structured matrices. (English) Zbl 1013.65031 J. Comput. Appl. Math. 149, No. 2, 415-422 (2002). MSC: 65F15 65Y20 PDFBibTeX XMLCite \textit{D. Calvetti} et al., J. Comput. Appl. Math. 149, No. 2, 415--422 (2002; Zbl 1013.65031) Full Text: DOI
Calvetti, D.; Lewis, B.; Reichel, L. On the solution of large Sylvester-observer equations. (English) Zbl 1055.65079 Numer. Linear Algebra Appl. 8, No. 6-7, 435-451 (2001). Reviewer: Jan Chleboun (Praha) MSC: 65K10 65F30 65F50 93B51 PDFBibTeX XMLCite \textit{D. Calvetti} et al., Numer. Linear Algebra Appl. 8, No. 6--7, 435--451 (2001; Zbl 1055.65079) Full Text: DOI
Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. An iterative method with error estimators. (English) Zbl 0970.65028 J. Comput. Appl. Math. 127, No. 1-2, 93-119 (2001). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{D. Calvetti} et al., J. Comput. Appl. Math. 127, No. 1--2, 93--119 (2001; Zbl 0970.65028) Full Text: DOI
Ammar, G. S.; Calvetti, D.; Gragg, W. B.; Reichel, L. Polynomial zerofinders based on Szegő polynomials. (English) Zbl 0971.65042 J. Comput. Appl. Math. 127, No. 1-2, 1-16 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65H05 65Y05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{G. S. Ammar} et al., J. Comput. Appl. Math. 127, No. 1--2, 1--16 (2001; Zbl 0971.65042) Full Text: DOI
Calvetti, D.; Reichel, L. Iterative methods for large continuation problems. (English) Zbl 0974.65052 J. Comput. Appl. Math. 123, No. 1-2, 217-240 (2000). Reviewer: Zhen Mei (North York) MSC: 65H10 65H20 65H17 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, J. Comput. Appl. Math. 123, No. 1--2, 217--240 (2000; Zbl 0974.65052) Full Text: DOI
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. Computation of Gauss-Kronrod quadrature rules. (English) Zbl 0947.65022 Math. Comput. 69, No. 231, 1035-1052 (2000). Reviewer: Luigi Gatteschi (Torino) MSC: 65D32 65Y05 65Y20 41A55 PDFBibTeX XMLCite \textit{D. Calvetti} et al., Math. Comput. 69, No. 231, 1035--1052 (2000; Zbl 0947.65022) Full Text: DOI
Baglama, J.; Calvetti, D.; Reichel, L.; Ruttan, A. Computation of a few small eigenvalues of a large matrix with application to liquid crystal modeling. (English) Zbl 0922.65026 J. Comput. Phys. 146, No. 1, 203-226 (1998). Reviewer: E.D’yakonov (Moskva) MSC: 65F15 65N25 35P15 35Q72 82D30 PDFBibTeX XMLCite \textit{J. Baglama} et al., J. Comput. Phys. 146, No. 1, 203--226 (1998; Zbl 0922.65026) Full Text: DOI
Ammar, G. S.; Calvetti, D.; Reichel, L. Continuation methods for the computation of zeros of Szegő polynomials. (English) Zbl 0890.65043 Linear Algebra Appl. 249, 125-155 (1996). Reviewer: W.Zulehner (Linz) MSC: 65H05 65F15 65Y05 65D20 42C05 65H20 PDFBibTeX XMLCite \textit{G. S. Ammar} et al., Linear Algebra Appl. 249, 125--155 (1996; Zbl 0890.65043) Full Text: DOI
Baglama, J.; Calvetti, D.; Reichel, L. Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. (English) Zbl 0856.65030 BIT 36, No. 3, 400-421 (1996). Reviewer: V.Burjan (Praha) MSC: 65F15 PDFBibTeX XMLCite \textit{J. Baglama} et al., BIT 36, No. 3, 400--421 (1996; Zbl 0856.65030) Full Text: DOI
Calvetti, D.; Reichel, L. A hybrid iterative method for symmetric positive definite linear systems. (English) Zbl 0853.65042 Numer. Algorithms 11, No. 1-4, 79-98 (1996). Reviewer: A.Bultheel (Leuven) MSC: 65F10 15A42 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, Numer. Algorithms 11, No. 1--4, 79--98 (1996; Zbl 0853.65042) Full Text: DOI
Calvetti, D.; Gallopoulos, E.; Reichel, L. Incomplete partial fractions for parallel evaluation of rational matrix functions. (English) Zbl 0839.65054 J. Comput. Appl. Math. 59, No. 3, 349-380 (1995). Reviewer: W.Gander (Zürich) MSC: 65F30 65F05 65F50 65Y05 35J05 65N06 PDFBibTeX XMLCite \textit{D. Calvetti} et al., J. Comput. Appl. Math. 59, No. 3, 349--380 (1995; Zbl 0839.65054) Full Text: DOI
Jagels, Carl; Reichel, Lothar On the construction of Szegő polynomials. (English) Zbl 0819.65012 J. Comput. Appl. Math. 46, No. 1-2, 241-254 (1993). MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{C. Jagels} and \textit{L. Reichel}, J. Comput. Appl. Math. 46, No. 1--2, 241--254 (1993; Zbl 0819.65012) Full Text: DOI