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Hochstenbach, Michiel E.

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Author ID: hochstenbach.michiel-e Recent zbMATH articles by "Hochstenbach, Michiel E."
Published as: Hochstenbach, M. E.; Hochstenbach, Michiel; Hochstenbach, Michiel E.
Homepage: https://www.win.tue.nl/~hochsten/
External Links: MGP · ORCID · dblp
Documents Indexed: 47 Publications since 2000

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 337 times in 222 Documents Cited by Year
A Jacobi–Davidson type SVD method. Zbl 1002.65048
Hochstenbach, Michiel E.
25
2001
Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems. Zbl 1079.65047
Hochstenbach, M. E.
23
2004
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
22
2011
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
21
2010
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036
Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor
21
2005
Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations. Zbl 1170.65063
Jarlebring, Elias; Hochstenbach, Michiel E.
16
2009
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
15
2015
Two-sided and alternating Jacobi-Davidson. Zbl 1087.65035
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
15
2003
Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032
Hochstenbach, Michiel E.; Notay, Yvan
14
2009
Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039
Hochstenbach, M. E.; McNinch, N.; Reichel, L.
13
2012
Probabilistic upper bounds for the matrix two-norm. Zbl 1292.65037
Hochstenbach, Michiel E.
12
2013
Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem. Zbl 1212.65150
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
12
2008
On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
10
2012
The Jacobi-Davidson method. Zbl 1177.65055
Hochstenbach, M. E.; Notay, Y.
10
2006
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378
Hochstenbach, Michiel E.; Plestenjak, Bor
9
2008
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034
Hochstenbach, Michiel E.; Plestenjak, Bor
9
2003
A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023
Hochstenbach, Michiel E.; Plestenjak, Bor
9
2002
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028
Hochstenbach, Michiel E.; van der Vorst, Henk A.
8
2003
Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar
7
2015
Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. Zbl 0981.65044
van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A.
7
2000
A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo
6
2015
Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J.
5
2012
Fields of values and inclusion regions for matrix pencils. Zbl 1287.65025
Hochstenbach, Michiel E.
5
2011
A Jacobi-Davidson method for solving complex symmetric eigenvalue problems. Zbl 1061.65027
Arbenz, Peter; Hochstenbach, Michiel E.
5
2004
Uniform determinantal representations. Zbl 1387.13062
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor
4
2017
Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056
Plestenjak, Bor; Hochstenbach, Michiel E.
4
2016
Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 06448790
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
4
2015
Numerical approximation of the field of values of the inverse of a large matrix. Zbl 1299.65063
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
3
2013
Subspace-restricted singular value decompositions for linear discrete ill-posed problems. Zbl 1204.65038
Hochstenbach, Michiel E.; Reichel, Lothar
3
2010
Generalizations of harmonic and refined Rayleigh-Ritz. Zbl 1121.65316
Hochstenbach, Michiel E.
3
2005
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor
2
2019
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E.
2
2015
A Jacobi-Davidson type method for the generalized singular value problem. Zbl 1169.65034
Hochstenbach, M. E.
2
2009
A Jacobi-Davidson type method for the product eigenvalue problem. Zbl 1139.65028
Hochstenbach, Michiel E.
2
2008
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045
Hochstenbach, Michiel E.; Plestenjak, Bor
1
2020
Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. Zbl 1420.65031
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André
1
2019
Subspace methods for three-parameter eigenvalue problems. Zbl 07088866
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
1
2019
Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. Zbl 1370.65021
Zwaan, Ian N.; Hochstenbach, Michiel E.
1
2017
Krylov-Schur-type restarts for the two-sided Arnoldi method. Zbl 1365.65100
Zwaan, Ian N.; Hochstenbach, Michiel E.
1
2017
Probabilistic bounds for the matrix condition number with extended Lanczos bidiagonalization. Zbl 1325.65051
Gaaf, Sarah W.; Hochstenbach, Michiel E.
1
2015
Combining approximate solutions for linear discrete ill-posed problems. Zbl 1241.65043
Hochstenbach, Michiel E.; Reichel, Lothar
1
2012
Eigenvalue inclusion regions from inverses of shifted matrices. Zbl 1176.15022
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
1
2008
Homogeneous Jacobi-Davidson. Zbl 1171.65377
Hochstenbach, Michiel E.; Notay, Yvan
1
2007
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045
Hochstenbach, Michiel E.; Plestenjak, Bor
1
2020
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor
2
2019
Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. Zbl 1420.65031
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André
1
2019
Subspace methods for three-parameter eigenvalue problems. Zbl 07088866
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
1
2019
Uniform determinantal representations. Zbl 1387.13062
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor
4
2017
Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. Zbl 1370.65021
Zwaan, Ian N.; Hochstenbach, Michiel E.
1
2017
Krylov-Schur-type restarts for the two-sided Arnoldi method. Zbl 1365.65100
Zwaan, Ian N.; Hochstenbach, Michiel E.
1
2017
Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056
Plestenjak, Bor; Hochstenbach, Michiel E.
4
2016
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
15
2015
Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar
7
2015
A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo
6
2015
Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 06448790
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
4
2015
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E.
2
2015
Probabilistic bounds for the matrix condition number with extended Lanczos bidiagonalization. Zbl 1325.65051
Gaaf, Sarah W.; Hochstenbach, Michiel E.
1
2015
Probabilistic upper bounds for the matrix two-norm. Zbl 1292.65037
Hochstenbach, Michiel E.
12
2013
Numerical approximation of the field of values of the inverse of a large matrix. Zbl 1299.65063
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
3
2013
Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039
Hochstenbach, M. E.; McNinch, N.; Reichel, L.
13
2012
On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
10
2012
Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J.
5
2012
Combining approximate solutions for linear discrete ill-posed problems. Zbl 1241.65043
Hochstenbach, Michiel E.; Reichel, Lothar
1
2012
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
22
2011
Fields of values and inclusion regions for matrix pencils. Zbl 1287.65025
Hochstenbach, Michiel E.
5
2011
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
21
2010
Subspace-restricted singular value decompositions for linear discrete ill-posed problems. Zbl 1204.65038
Hochstenbach, Michiel E.; Reichel, Lothar
3
2010
Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations. Zbl 1170.65063
Jarlebring, Elias; Hochstenbach, Michiel E.
16
2009
Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032
Hochstenbach, Michiel E.; Notay, Yvan
14
2009
A Jacobi-Davidson type method for the generalized singular value problem. Zbl 1169.65034
Hochstenbach, M. E.
2
2009
Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem. Zbl 1212.65150
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
12
2008
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378
Hochstenbach, Michiel E.; Plestenjak, Bor
9
2008
A Jacobi-Davidson type method for the product eigenvalue problem. Zbl 1139.65028
Hochstenbach, Michiel E.
2
2008
Eigenvalue inclusion regions from inverses of shifted matrices. Zbl 1176.15022
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
1
2008
Homogeneous Jacobi-Davidson. Zbl 1171.65377
Hochstenbach, Michiel E.; Notay, Yvan
1
2007
The Jacobi-Davidson method. Zbl 1177.65055
Hochstenbach, M. E.; Notay, Y.
10
2006
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036
Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor
21
2005
Generalizations of harmonic and refined Rayleigh-Ritz. Zbl 1121.65316
Hochstenbach, Michiel E.
3
2005
Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems. Zbl 1079.65047
Hochstenbach, M. E.
23
2004
A Jacobi-Davidson method for solving complex symmetric eigenvalue problems. Zbl 1061.65027
Arbenz, Peter; Hochstenbach, Michiel E.
5
2004
Two-sided and alternating Jacobi-Davidson. Zbl 1087.65035
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
15
2003
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034
Hochstenbach, Michiel E.; Plestenjak, Bor
9
2003
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028
Hochstenbach, Michiel E.; van der Vorst, Henk A.
8
2003
A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023
Hochstenbach, Michiel E.; Plestenjak, Bor
9
2002
A Jacobi–Davidson type SVD method. Zbl 1002.65048
Hochstenbach, Michiel E.
25
2001
Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. Zbl 0981.65044
van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A.
7
2000
all top 5

Cited by 335 Authors

27 Reichel, Lothar
20 Hochstenbach, Michiel E.
14 Plestenjak, Bor
8 Xiong, Xiangtuan
7 Jia, Zhongxiao
7 Wang, Shaoxin
6 Li, Hanyu
6 Rodriguez, Giuseppe
5 Lin, Wen-Wei
4 Baglama, James
4 Gheorghiu, Călin Ioan
4 Huang, Tsungming
4 Meerbergen, Karl
4 Muhič, Andrej
4 Nakatsukasa, Yuji
4 Noschese, Silvia
4 Romero, Eloy
4 Sgallari, Fiorella
4 Stoll, Martin
4 Wang, Weichung
4 Xue, Xuemin
4 Yang, Hu
3 Benner, Peter
3 Díaz de Alba, Patricia
3 Fenu, Caterina
3 Gazzola, Silvia
3 Huang, Guang-Xin
3 Jarlebring, Elias
3 Kressner, Daniel
3 Morigi, Serena
3 Novati, Paolo
3 Reddy, G. Datatreya
3 Román, Jose E.
3 Sadok, Hassane
3 Stathopoulos, Andreas
3 Szyld, Daniel B.
3 Voss, Heinrich
3 Xue, Fei
3 Yang, Chao
3 Yin, Feng
2 Antoniou, Efstathios N.
2 Arbenz, Peter
2 Bebiano, Natália Isabel Quadros
2 Chung, Julianne M.
2 da Providência Santarém e Costa, João
2 Deidda, Gian Piero
2 Donatelli, Marco
2 Embree, Mark
2 Freitag, Melina A.
2 Gil’, Michael Iosif
2 Hao, Yongxia
2 Hwang, Tsung-Min
2 Lanza, Alessandro
2 Li, Cen
2 Liu, Chunsheng
2 Liu, Xinguo
2 Lu, Dianchen
2 Martin, David R.
2 Michiels, Wim
2 Noferini, Vanni
2 Notay, Yvan
2 Oliveira, Saulo Pomponet
2 Onwunta, Akwum
2 Qian, Zhi
2 Ren, ChunPing
2 Rump, Siegfried Michael
2 Russo, Maria Rosaria
2 Saad, Yousef
2 Saibaba, Arvind Krishna
2 Samar, Mahvish
2 Schröder, Christian
2 Schwetlick, Hubert
2 Seriani, Géza
2 Tisseur, Françoise
2 Vecharynski, Eugene
2 Vologiannidis, Stavros
2 Vömel, Christof
2 Wang, NengJian
2 Wang, Wei-Cheng
2 Wei, Yimin
2 Wu, Gang
2 Wu, Lingfei
2 Xiao, Jinyou
2 Yang, Shuping
2 Yu, Xuebo
2 Zhang, Chuanzeng
2 Zwaan, Ian N.
1 Aarset, Christian
1 Abad, J. O.
1 Abdelkawy, Mohamed A.
1 Adhikari, Bibhas
1 Aishima, Kensuke
1 Alam, Rafikul
1 Alvermann, Andreas
1 Amiraslani, Amirhossein
1 Amodio, Pierluigi
1 Bai, Zhongzhi
1 Baker, C. G.
1 Bao, Liang
1 Barlow, Jesse L.
...and 235 more Authors
all top 5

Cited in 68 Serials

24 Linear Algebra and its Applications
20 Journal of Computational and Applied Mathematics
14 BIT
13 SIAM Journal on Scientific Computing
11 Numerical Algorithms
11 Numerical Linear Algebra with Applications
10 Applied Mathematics and Computation
9 Applied Numerical Mathematics
8 SIAM Journal on Matrix Analysis and Applications
8 Journal of Scientific Computing
7 Journal of Computational Physics
6 Numerische Mathematik
4 Linear and Multilinear Algebra
4 Calcolo
4 ETNA. Electronic Transactions on Numerical Analysis
3 Computational and Applied Mathematics
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Multidimensional Systems and Signal Processing
2 SIAM Review
2 Mathematical Problems in Engineering
2 GAMM-Mitteilungen
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Science China. Mathematics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Applicable Analysis
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Wave Motion
1 ACM Transactions on Mathematical Software
1 Automatica
1 Integral Equations and Operator Theory
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
1 Proceedings of the American Mathematical Society
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Japan Journal of Industrial and Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 International Journal of Computer Mathematics
1 Pattern Recognition
1 SIAM Journal on Optimization
1 Applied Mathematics. Series B (English Edition)
1 Journal of Inverse and Ill-Posed Problems
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 ELA. The Electronic Journal of Linear Algebra
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Journal of Inequalities and Applications
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of Numerical Mathematics
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 Acta Numerica
1 Journal of Computational Acoustics
1 Inverse Problems in Science and Engineering
1 Complex Analysis and Operator Theory
1 Inverse Problems and Imaging
1 SIAM Journal on Imaging Sciences
1 Mathematical Geosciences
1 Mathematical Sciences
1 East Asian Journal on Applied Mathematics
1 SIAM Journal on Applied Algebra and Geometry

Citations by Year