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 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.; 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
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
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, 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
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, 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.; Singer, David A.; Zachlin, Paul F. Eigenvalue inclusion regions from inverses of shifted matrices. (English) Zbl 1176.15022 Linear Algebra Appl. 429, No. 10, 2481-2496 (2008). Reviewer: Herbert Kreyszig (New York) MSC: 15A42 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Linear Algebra Appl. 429, No. 10, 2481--2496 (2008; Zbl 1176.15022) Full Text: DOI
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, 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, 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