Xia, Lu; Massei, Stefano; Hochstenbach, Michiel E.; Koren, Barry On stochastic roundoff errors in gradient descent with low-precision computation. (English) Zbl 07802203 J. Optim. Theory Appl. 200, No. 2, 634-668 (2024). MSC: 62J02 65G50 68T01 PDFBibTeX XMLCite \textit{L. Xia} et al., J. Optim. Theory Appl. 200, No. 2, 634--668 (2024; Zbl 07802203) Full Text: DOI arXiv
Ferrandi, Giulia; Hochstenbach, Michiel E. A homogeneous Rayleigh quotient with applications in gradient methods. (English) Zbl 1522.65049 J. Comput. Appl. Math. 437, Article ID 115440, 15 p. (2024). MSC: 65F15 65F50 65K05 90C20 PDFBibTeX XMLCite \textit{G. Ferrandi} and \textit{M. E. Hochstenbach}, J. Comput. Appl. Math. 437, Article ID 115440, 15 p. (2024; Zbl 1522.65049) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems. II: Projection and augmentation. (English) Zbl 1526.65011 SIAM J. Matrix Anal. Appl. 44, No. 4, 1589-1618 (2023). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1589--1618 (2023; Zbl 1526.65011) Full Text: DOI arXiv
Ferrandi, Giulia; Hochstenbach, Michiel E.; Krejić, Nataša A harmonic framework for stepsize selection in gradient methods. (English) Zbl 1517.90097 Comput. Optim. Appl. 85, No. 1, 75-106 (2023). MSC: 90C20 90C30 65K05 65F15 65F10 PDFBibTeX XMLCite \textit{G. Ferrandi} et al., Comput. Optim. Appl. 85, No. 1, 75--106 (2023; Zbl 1517.90097) Full Text: DOI arXiv
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A hybrid DEIM and leverage scores based method for CUR index selection. (English) Zbl 07737827 Ehrhardt, Matthias (ed.) et al., Progress in industrial mathematics at ECMI 2021. Proceedings of the 21st European conference on mathematics for industry, ECMI 2021, Wuppertal, Germany, April 13–15, 2021. Selected and reviewed papers. Cham: Springer. Math. Ind. 39, 147-153 (2022). MSC: 65-XX PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, Math. Ind. 39, 147--153 (2022; Zbl 07737827) Full Text: DOI arXiv
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A generalized CUR decomposition for matrix pairs. (English) Zbl 1492.65110 SIAM J. Math. Data Sci. 4, No. 1, 386-409 (2022). MSC: 65F55 15A23 65F15 PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, SIAM J. Math. Data Sci. 4, No. 1, 386--409 (2022; Zbl 1492.65110) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Košir, Tomaž; Plestenjak, Bor Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models. arXiv:2212.01867 Preprint, arXiv:2212.01867 [math.NA] (2022). MSC: 65F15 15A18 15A22 65F50 93B15 BibTeX Cite \textit{M. E. Hochstenbach} et al., ``Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models'', Preprint, arXiv:2212.01867 [math.NA] (2022) Full Text: DOI arXiv OA License
van Lith, Bart S.; Hansen, Per Christian; Hochstenbach, Michiel E. A twin error gauge for Kaczmarz’s iterations. (English) Zbl 1490.65072 SIAM J. Sci. Comput. 43, No. 5, S173-S199 (2021). MSC: 65F22 65F10 65R32 65F15 PDFBibTeX XMLCite \textit{B. S. van Lith} et al., SIAM J. Sci. Comput. 43, No. 5, S173--S199 (2021; Zbl 1490.65072) Full Text: DOI
van Lith, Bart S.; Hansen, Per Christian; Hochstenbach, Michiel E. A twin error gauge for Kaczmarz’s iterations. (English) Zbl 1512.65072 SIAM J. Sci. Comput. 43, No. 3, S173-S199 (2021). MSC: 65F22 65F10 65R32 65F15 PDFBibTeX XMLCite \textit{B. S. van Lith} et al., SIAM J. Sci. Comput. 43, No. 3, S173--S199 (2021; Zbl 1512.65072) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Plestenjak, Bor Computing several eigenvalues of nonlinear eigenvalue problems by selection. (English) Zbl 1439.65045 Calcolo 57, No. 2, Paper No. 16, 25 p. (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 65F50 65H17 15A18 15A69 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, Calcolo 57, No. 2, Paper No. 16, 25 p. (2020; Zbl 1439.65045) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems by a rank-completing perturbation. (English) Zbl 1435.65056 SIAM J. Matrix Anal. Appl. 40, No. 3, 1022-1046 (2019). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1022--1046 (2019; Zbl 1435.65056) Full Text: DOI arXiv
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. (English) Zbl 1420.65031 SIAM J. Sci. Comput. 41, No. 3, A1822-A1839 (2019). MSC: 65F10 65F15 65F22 15A18 15A60 PDFBibTeX XMLCite \textit{Y. Dong} et al., SIAM J. Sci. Comput. 41, No. 3, A1822--A1839 (2019; Zbl 1420.65031) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor Subspace methods for three-parameter eigenvalue problems. (English) Zbl 1463.65071 Numer. Linear Algebra Appl. 26, No. 4, e2240, 22 p. (2019). MSC: 65F15 15A24 15A69 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Numer. Linear Algebra Appl. 26, No. 4, e2240, 22 p. (2019; Zbl 1463.65071) Full Text: DOI arXiv
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor Uniform determinantal representations. (English) Zbl 1387.13062 SIAM J. Appl. Algebra Geom. 1, No. 1, 415-441 (2017). Reviewer: Emanuele Ventura (College Station) MSC: 13P15 65H04 65F15 65F50 PDFBibTeX XMLCite \textit{A. Boralevi} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 415--441 (2017; Zbl 1387.13062) Full Text: DOI arXiv
Zwaan, Ian N.; Hochstenbach, Michiel E. Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. (English) Zbl 1370.65021 J. Sci. Comput. 70, No. 3, 990-1009 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F22 65F08 PDFBibTeX XMLCite \textit{I. N. Zwaan} and \textit{M. E. Hochstenbach}, J. Sci. Comput. 70, No. 3, 990--1009 (2017; Zbl 1370.65021) Full Text: DOI
Zwaan, Ian N.; Hochstenbach, Michiel E. Krylov-Schur-type restarts for the two-sided Arnoldi method. (English) Zbl 1365.65100 SIAM J. Matrix Anal. Appl. 38, No. 2, 297-321 (2017). MSC: 65F15 PDFBibTeX XMLCite \textit{I. N. Zwaan} and \textit{M. E. Hochstenbach}, SIAM J. Matrix Anal. Appl. 38, No. 2, 297--321 (2017; Zbl 1365.65100) Full Text: DOI
Zwaan, Ian N.; Hochstenbach, Michiel E. Generalized Davidson and multidirectional-type methods for the generalized singular value decomposition. arXiv:1705.06120 Preprint, arXiv:1705.06120 [math.NA] (2017). MSC: 15A18 15A23 15A29 65F15 65F22 65F30 65F50 BibTeX Cite \textit{I. N. Zwaan} and \textit{M. E. Hochstenbach}, ``Generalized Davidson and multidirectional-type methods for the generalized singular value decomposition'', Preprint, arXiv:1705.06120 [math.NA] (2017) Full Text: arXiv OA License
Koskela, Antti; Jarlebring, Elias; Hochstenbach, Michiel E. Krylov approximation of linear ODEs with polynomial parameterization. (English) Zbl 1338.65183 SIAM J. Matrix Anal. Appl. 37, No. 2, 519-538 (2016). MSC: 65L05 34A30 65L20 65L70 PDFBibTeX XMLCite \textit{A. Koskela} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 519--538 (2016; Zbl 1338.65183) Full Text: DOI arXiv
Plestenjak, Bor; Hochstenbach, Michiel E. Roots of bivariate polynomial systems via determinantal representations. (English) Zbl 1376.65056 SIAM J. Sci. Comput. 38, No. 2, A765-A788 (2016). MSC: 65F15 65H10 65F50 13P15 PDFBibTeX XMLCite \textit{B. Plestenjak} and \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 38, No. 2, A765--A788 (2016; Zbl 1376.65056) Full Text: DOI arXiv
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
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E. Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. (English) Zbl 1349.65655 J. Comput. Phys. 298, 585-601 (2015). MSC: 65N35 65N25 35J05 PDFBibTeX XMLCite \textit{B. Plestenjak} et al., J. Comput. Phys. 298, 585--601 (2015; Zbl 1349.65655) Full Text: DOI Link
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo A Golub-Kahan-type reduction method for matrix pairs. (English) Zbl 1329.65082 J. Sci. Comput. 65, No. 2, 767-789 (2015). MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Sci. Comput. 65, No. 2, 767--789 (2015; Zbl 1329.65082) Full Text: DOI
Gaaf, Sarah W.; Hochstenbach, Michiel E. Probabilistic bounds for the matrix condition number with extended Lanczos bidiagonalization. (English) Zbl 1325.65051 SIAM J. Sci. Comput. 37, No. 5, S581-S601 (2015). MSC: 65F15 65F35 65F50 65F10 PDFBibTeX XMLCite \textit{S. W. Gaaf} and \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 37, No. 5, S581--S601 (2015; Zbl 1325.65051) Full Text: DOI Link
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. (English) Zbl 1503.65075 J. Comput. Appl. Math. 288, 251-263 (2015). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Comput. Appl. Math. 288, 251--263 (2015; Zbl 1503.65075) Full Text: DOI
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G. Regularization parameter determination for discrete ill-posed problems. (English) Zbl 1295.65046 J. Comput. Appl. Math. 273, 132-149 (2015). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Comput. Appl. Math. 273, 132--149 (2015; Zbl 1295.65046) Full Text: DOI
Bleylevens, Ivo W. M.; Hochstenbach, Michiel E.; Peeters, Ralf L. M. Polynomial optimization and a Jacobi-Davidson type method for commuting matrices. (English) Zbl 1336.65053 Appl. Math. Comput. 224, 564-580 (2013). MSC: 65F15 PDFBibTeX XMLCite \textit{I. W. M. Bleylevens} et al., Appl. Math. Comput. 224, 564--580 (2013; Zbl 1336.65053) Full Text: DOI
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F. Numerical approximation of the field of values of the inverse of a large matrix. (English) Zbl 1299.65063 Fonseca, Carlos (ed.) et al., The Natália Bebiano anniversary volume. Special issue on the occasion of her 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática (ISBN 978-972-8564-48-3/pbk). Textos de Matemática 44, 59-71 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 65F35 47A12 65F30 65F10 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Textos Mat. 44, 59--71 (2013; Zbl 1299.65063)
Hochstenbach, Michiel E. Probabilistic upper bounds for the matrix two-norm. (English) Zbl 1292.65037 J. Sci. Comput. 57, No. 3, 464-476 (2013). MSC: 65F15 15A42 65F35 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, J. Sci. Comput. 57, No. 3, 464--476 (2013; Zbl 1292.65037) Full Text: DOI Link
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J. Spectral collocation solutions to multiparameter Mathieu’s system. (English) Zbl 1280.65078 Appl. Math. Comput. 218, No. 24, 11990-12000 (2012). MSC: 65L15 34L16 34B30 65L60 65L20 PDFBibTeX XMLCite \textit{C. I. Gheorghiu} et al., Appl. Math. Comput. 218, No. 24, 11990--12000 (2012; Zbl 1280.65078) Full Text: DOI Link
Lutowska, Agnieszka; Hochstenbach, Michiel E.; Schilders, Wil H. A. Model order reduction for complex high-tech systems. (English) Zbl 1247.78054 Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 433-441 (2012). MSC: 78M34 65F20 PDFBibTeX XMLCite \textit{A. Lutowska} et al., Math. Ind. 16, 433--441 (2012; Zbl 1247.78054) 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.; Muhič, Andrej; Plestenjak, Bor On linearizations of the quadratic two-parameter eigenvalue problem. (English) Zbl 1245.65042 Linear Algebra Appl. 436, No. 8, 2725-2743 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Linear Algebra Appl. 436, No. 8, 2725--2743 (2012; Zbl 1245.65042) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Combining approximate solutions for linear discrete ill-posed problems. (English) Zbl 1241.65043 J. Comput. Appl. Math. 236, No. 8, 2179-2185 (2012). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Comput. Appl. Math. 236, No. 8, 2179--2185 (2012; Zbl 1241.65043) Full Text: DOI
Hochstenbach, Michiel E. Fields of values and inclusion regions for matrix pencils. (English) Zbl 1287.65025 ETNA, Electron. Trans. Numer. Anal. 38, 98-112 (2011). MSC: 65F15 15A42 15A22 65F50 15A60 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, ETNA, Electron. Trans. Numer. Anal. 38, 98--112 (2011; Zbl 1287.65025) Full Text: EMIS
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
Hochstenbach, Michiel E.; Reichel, Lothar An iterative method for Tikhonov regularization with a general linear regularization operator. (English) Zbl 1210.65092 J. Integral Equations Appl. 22, No. 3, 465-482 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F22 65R30 65F10 65F20 45B05 68U10 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Integral Equations Appl. 22, No. 3, 465--482 (2010; Zbl 1210.65092) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Subspace-restricted singular value decompositions for linear discrete ill-posed problems. (English) Zbl 1204.65038 J. Comput. Appl. Math. 235, No. 4, 1053-1064 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Comput. Appl. Math. 235, No. 4, 1053--1064 (2010; Zbl 1204.65038) Full Text: DOI
Hochstenbach, Michiel E.; Notay, Yvan Controlling inner iterations in the Jacobi-Davidson method. (English) Zbl 1191.65032 SIAM J. Matrix Anal. Appl. 31, No. 2, 460-477 (2009). Reviewer: Jinhai Chen (Hongkong) MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{Y. Notay}, SIAM J. Matrix Anal. Appl. 31, No. 2, 460--477 (2009; Zbl 1191.65032) Full Text: DOI
Hochstenbach, M. E. A Jacobi-Davidson type method for the generalized singular value problem. (English) Zbl 1169.65034 Linear Algebra Appl. 431, No. 3-4, 471-487 (2009). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65F20 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, Linear Algebra Appl. 431, No. 3--4, 471--487 (2009; Zbl 1169.65034) Full Text: DOI
Jarlebring, Elias; Hochstenbach, Michiel E. Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations. (English) Zbl 1170.65063 Linear Algebra Appl. 431, No. 3-4, 369-380 (2009). Reviewer: Srinivasan Natesan (Assam) MSC: 65L07 34K20 34K28 34K25 15A22 15A18 PDFBibTeX XMLCite \textit{E. Jarlebring} and \textit{M. E. Hochstenbach}, Linear Algebra Appl. 431, No. 3--4, 369--380 (2009; Zbl 1170.65063) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G. Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem. (English) Zbl 1212.65150 Numer. Linear Algebra Appl. 15, No. 1, 35-54 (2008). MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{G. L. G. Sleijpen}, Numer. Linear Algebra Appl. 15, No. 1, 35--54 (2008; Zbl 1212.65150) Full Text: DOI
Hochstenbach, Michiel E.; Plestenjak, Bor Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. (English) Zbl 1171.65378 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 81-96 (2008). MSC: 65F15 65F50 15A18 15A69 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, ETNA, Electron. Trans. Numer. Anal. 29, 81--96 (2008; Zbl 1171.65378) Full Text: EuDML EMIS
Hochstenbach, Michiel E. A Jacobi-Davidson type method for the product eigenvalue problem. (English) Zbl 1139.65028 J. Comput. Appl. Math. 212, No. 1, 46-62 (2008). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, J. Comput. Appl. Math. 212, No. 1, 46--62 (2008; Zbl 1139.65028) Full Text: DOI
Hochstenbach, Michiel E.; Notay, Yvan Homogeneous Jacobi-Davidson. (English) Zbl 1171.65377 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 19-30 (2007). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{Y. Notay}, ETNA, Electron. Trans. Numer. Anal. 29, 19--30 (2007; Zbl 1171.65377) Full Text: EuDML EMIS
Hochstenbach, M. E.; Notay, Y. The Jacobi-Davidson method. (English) Zbl 1177.65055 GAMM-Mitt. 29, No. 2, 368-382 (2006). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{Y. Notay}, GAMM-Mitt. 29, No. 2, 368--382 (2006; Zbl 1177.65055) Full Text: DOI
Hochstenbach, Michiel E. Generalizations of harmonic and refined Rayleigh-Ritz. (English) Zbl 1121.65316 ETNA, Electron. Trans. Numer. Anal. 20, 235-252 (2005). MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, ETNA, Electron. Trans. Numer. Anal. 20, 235--252 (2005; Zbl 1121.65316) Full Text: EuDML Link
Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor A Jacobi–Davidson type method for the two-parameter eigenvalue problem. (English) Zbl 1077.65036 SIAM J. Matrix Anal. Appl. 26, No. 2, 477-497 (2005). MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 26, No. 2, 477--497 (2005; Zbl 1077.65036) Full Text: DOI
Hochstenbach, M. E. Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems. (English) Zbl 1079.65047 BIT 44, No. 4, 721-754 (2004). Reviewer: Jan Kozanek (Praha) MSC: 65F20 65F15 65F50 65F35 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, BIT 44, No. 4, 721--754 (2004; Zbl 1079.65047) Full Text: DOI Link
Arbenz, Peter; Hochstenbach, Michiel E. A Jacobi-Davidson method for solving complex symmetric eigenvalue problems. (English) Zbl 1061.65027 SIAM J. Sci. Comput. 25, No. 5, 1655-1673 (2004). MSC: 65F15 65F50 65F35 PDFBibTeX XMLCite \textit{P. Arbenz} and \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 25, No. 5, 1655--1673 (2004; Zbl 1061.65027) Full Text: DOI
Hochstenbach, Michiel E.; van der Vorst, Henk A. Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. (English) Zbl 1042.65028 SIAM J. Sci. Comput. 25, No. 2, 591-603 (2003). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{H. A. van der Vorst}, SIAM J. Sci. Comput. 25, No. 2, 591--603 (2003; Zbl 1042.65028) Full Text: DOI
Hochstenbach, Michiel E.; Plestenjak, Bor Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. (English) Zbl 1048.65034 Linear Algebra Appl. 375, 63-81 (2003). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, Linear Algebra Appl. 375, 63--81 (2003; Zbl 1048.65034) Full Text: DOI
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G. Two-sided and alternating Jacobi-Davidson. (English) Zbl 1087.65035 Linear Algebra Appl. 358, No. 1-3, 145-172 (2003). MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{G. L. G. Sleijpen}, Linear Algebra Appl. 358, No. 1--3, 145--172 (2003; Zbl 1087.65035) Full Text: DOI
Hochstenbach, Michiel E.; Plestenjak, Bor A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. (English) Zbl 1025.65023 SIAM J. Matrix Anal. Appl. 24, No. 2, 392-410 (2002). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, SIAM J. Matrix Anal. Appl. 24, No. 2, 392--410 (2002; Zbl 1025.65023) Full Text: DOI
Hochstenbach, Michiel E. A Jacobi–Davidson type SVD method. (English) Zbl 1002.65048 SIAM J. Sci. Comput. 23, No. 2, 606-628 (2001). Reviewer: B.Döring (Düsseldorf) MSC: 65F20 65F15 65F35 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 23, No. 2, 606--628 (2001; Zbl 1002.65048) Full Text: DOI
van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A. Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. (English) Zbl 0981.65044 SIAM J. Matrix Anal. Appl. 22, No. 3, 837-852 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65F15 PDFBibTeX XMLCite \textit{J. L. M. van Dorsselaer} et al., SIAM J. Matrix Anal. Appl. 22, No. 3, 837--852 (2000; Zbl 0981.65044) Full Text: DOI