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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, Michiel E.; Hochstenbach, M. E.; Hochstenbach, Michiel
Homepage: https://www.win.tue.nl/~hochsten/
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Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 457 times in 276 Documents Cited by Year
On the numerical range of a matrix. (Über den Wertevorrat einer Matrix.) Zbl 1137.47003
Kippenhahn, Rudolf
38
2008
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
37
2011
A Jacobi–Davidson type SVD method. Zbl 1002.65048
Hochstenbach, Michiel E.
28
2001
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036
Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor
28
2005
Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems. Zbl 1079.65047
Hochstenbach, M. E.
25
2004
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
22
2010
Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations. Zbl 1170.65063
Jarlebring, Elias; Hochstenbach, Michiel E.
18
2009
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
17
2015
Probabilistic upper bounds for the matrix two-norm. Zbl 1292.65037
Hochstenbach, Michiel E.
16
2013
On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
14
2012
Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032
Hochstenbach, Michiel E.; Notay, Yvan
14
2009
Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem. Zbl 1212.65150
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
14
2008
Two-sided and alternating Jacobi-Davidson. Zbl 1087.65035
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
14
2003
Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039
Hochstenbach, M. E.; McNinch, N.; Reichel, L.
13
2012
A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023
Hochstenbach, Michiel E.; Plestenjak, Bor
13
2002
The Jacobi-Davidson method. Zbl 1177.65055
Hochstenbach, M. E.; Notay, Y.
12
2006
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034
Hochstenbach, Michiel E.; Plestenjak, Bor
10
2003
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378
Hochstenbach, Michiel E.; Plestenjak, Bor
10
2008
A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo
9
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.
8
2000
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
8
2015
Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J.
6
2012
Fields of values and inclusion regions for matrix pencils. Zbl 1287.65025
Hochstenbach, Michiel E.
6
2011
Subspace-restricted singular value decompositions for linear discrete ill-posed problems. Zbl 1204.65038
Hochstenbach, Michiel E.; Reichel, Lothar
6
2010
A Jacobi-Davidson method for solving complex symmetric eigenvalue problems. Zbl 1061.65027
Arbenz, Peter; Hochstenbach, Michiel E.
6
2004
Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056
Plestenjak, Bor; Hochstenbach, Michiel E.
5
2016
Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 06448790
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
5
2015
A Jacobi-Davidson type method for the generalized singular value problem. Zbl 1169.65034
Hochstenbach, M. E.
5
2009
Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
4
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
4
2019
Uniform determinantal representations. Zbl 1387.13062
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor
4
2017
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E.
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.
4
2013
Generalizations of harmonic and refined Rayleigh-Ritz. Zbl 1121.65316
Hochstenbach, Michiel E.
3
2005
Krylov-Schur-type restarts for the two-sided Arnoldi method. Zbl 1365.65100
Zwaan, Ian N.; Hochstenbach, Michiel E.
3
2017
Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. Zbl 1370.65021
Zwaan, Ian N.; Hochstenbach, Michiel E.
3
2017
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045
Hochstenbach, Michiel E.; Plestenjak, Bor
3
2020
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor
3
2019
A Jacobi-Davidson type method for the product eigenvalue problem. Zbl 1139.65028
Hochstenbach, Michiel E.
2
2008
Combining approximate solutions for linear discrete ill-posed problems. Zbl 1241.65043
Hochstenbach, Michiel E.; Reichel, Lothar
1
2012
A twin error gauge for Kaczmarz’s iterations. Zbl 1490.65072
van Lith, Bart S.; Hansen, Per Christian; Hochstenbach, Michiel E.
1
2021
Probabilistic bounds for the matrix condition number with extended Lanczos bidiagonalization. Zbl 1325.65051
Gaaf, Sarah W.; Hochstenbach, Michiel E.
1
2015
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
A twin error gauge for Kaczmarz’s iterations. Zbl 1490.65072
van Lith, Bart S.; Hansen, Per Christian; Hochstenbach, Michiel E.
1
2021
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045
Hochstenbach, Michiel E.; Plestenjak, Bor
3
2020
Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
4
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
4
2019
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor
3
2019
Uniform determinantal representations. Zbl 1387.13062
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor
4
2017
Krylov-Schur-type restarts for the two-sided Arnoldi method. Zbl 1365.65100
Zwaan, Ian N.; Hochstenbach, Michiel E.
3
2017
Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. Zbl 1370.65021
Zwaan, Ian N.; Hochstenbach, Michiel E.
3
2017
Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056
Plestenjak, Bor; Hochstenbach, Michiel E.
5
2016
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
17
2015
A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo
9
2015
Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar
8
2015
Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 06448790
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
5
2015
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E.
4
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.
16
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.
4
2013
On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor
14
2012
Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039
Hochstenbach, M. E.; McNinch, N.; Reichel, L.
13
2012
Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J.
6
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
37
2011
Fields of values and inclusion regions for matrix pencils. Zbl 1287.65025
Hochstenbach, Michiel E.
6
2011
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
22
2010
Subspace-restricted singular value decompositions for linear discrete ill-posed problems. Zbl 1204.65038
Hochstenbach, Michiel E.; Reichel, Lothar
6
2010
Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations. Zbl 1170.65063
Jarlebring, Elias; Hochstenbach, Michiel E.
18
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.
5
2009
On the numerical range of a matrix. (Über den Wertevorrat einer Matrix.) Zbl 1137.47003
Kippenhahn, Rudolf
38
2008
Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem. Zbl 1212.65150
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
14
2008
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378
Hochstenbach, Michiel E.; Plestenjak, Bor
10
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.
12
2006
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036
Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor
28
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.
25
2004
A Jacobi-Davidson method for solving complex symmetric eigenvalue problems. Zbl 1061.65027
Arbenz, Peter; Hochstenbach, Michiel E.
6
2004
Two-sided and alternating Jacobi-Davidson. Zbl 1087.65035
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G.
14
2003
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034
Hochstenbach, Michiel E.; Plestenjak, Bor
10
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
13
2002
A Jacobi–Davidson type SVD method. Zbl 1002.65048
Hochstenbach, Michiel E.
28
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.
8
2000
all top 5

Cited by 407 Authors

28 Reichel, Lothar
21 Hochstenbach, Michiel E.
15 Plestenjak, Bor
13 Xiong, Xiangtuan
9 Jia, Zhongxiao
7 Li, Hanyu
7 Rodriguez, Giuseppe
7 Wang, Shaoxin
6 Samar, Mahvish
6 Xue, Xuemin
5 Jarlebring, Elias
5 Lin, Wen-Wei
5 Meerbergen, Karl
5 Nakatsukasa, Yuji
5 Noschese, Silvia
4 Baglama, James
4 Chung, Julianne M.
4 Gheorghiu, Călin Ioan
4 Huang, Tsungming
4 Muhič, Andrej
4 Reddy, G. Datatreya
4 Romero, Eloy
4 Stoll, Martin
4 Wang, Weichung
4 Yang, Hu
4 Yang, Shuping
3 Benner, Peter
3 Díaz de Alba, Patricia
3 Farooq, Aamir
3 Fenu, Caterina
3 Gazzola, Silvia
3 Huang, Guang-Xin
3 Huang, Jinzhi
3 Jiang, Jiahua
3 Kressner, Daniel
3 Kürschner, Patrick
3 Noferini, Vanni
3 Novati, Paolo
3 O’Regan, Donal
3 Qian, Zhi
3 Román, Jose E.
3 Sadok, Hassane
3 Sgallari, Fiorella
3 Stathopoulos, Andreas
3 Szyld, Daniel B.
3 Voss, Heinrich
3 Wang, Li
3 Xue, Fei
3 Yin, Feng
3 Yu, Xuebo
2 Antoniou, Efstathios N.
2 Arbenz, Peter
2 Bebiano, Natália Isabel Quadros
2 Can, Nguyen Huu
2 da Providência Santarém e Costa, João
2 de Sturler, Eric
2 Deidda, Gian Piero
2 Donatelli, Marco
2 Dong, Bo
2 Embree, Mark
2 Freitag, Melina A.
2 Gemignani, Luca
2 George, Santhosh
2 Gil’, Michael Iosif
2 Han, Yaozong
2 Hao, Yongxia
2 Huynh, Le Nhat
2 Hwang, Tsung-Min
2 Lanza, Alessandro
2 Li, Cen
2 Li, Xiaoxiao
2 Li, Zhenping
2 Liu, Chunsheng
2 Liu, Xinguo
2 Lu, Dianchen
2 Luc, Nguyen Hoang
2 Luiken, Nick
2 Martin, David R.
2 Miao, Hongyi
2 Michiels, Wim
2 Morigi, Serena
2 Mu, Chunlai
2 Notay, Yvan
2 Oliveira, Saulo Pomponet
2 Onwunta, Akwum
2 Palitta, Davide
2 Ren, ChunPing
2 Rump, Siegfried Michael
2 Russo, Maria Rosaria
2 Saad, Yousef
2 Saibaba, Arvind Krishna
2 Schröder, Christian
2 Schwetlick, Hubert
2 Seriani, Géza
2 Tisseur, Françoise
2 van Leeuwen, Tristan
2 Vecharynski, Eugene
2 Vologiannidis, Stavros
2 Vömel, Christof
2 Wang, NengJian
...and 307 more Authors
all top 5

Cited in 83 Serials

27 Linear Algebra and its Applications
24 Journal of Computational and Applied Mathematics
17 SIAM Journal on Scientific Computing
15 BIT
14 Numerical Algorithms
12 Journal of Scientific Computing
11 SIAM Journal on Matrix Analysis and Applications
11 Numerical Linear Algebra with Applications
10 Applied Mathematics and Computation
10 Applied Numerical Mathematics
8 Numerische Mathematik
7 Journal of Computational Physics
6 ETNA. Electronic Transactions on Numerical Analysis
5 Inverse Problems
5 Linear and Multilinear Algebra
4 Calcolo
3 International Journal of Computer Mathematics
3 SIAM Review
3 Computational and Applied Mathematics
3 Advances in Difference Equations
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Multidimensional Systems and Signal Processing
2 Journal of Inverse and Ill-Posed Problems
2 Mathematical Problems in Engineering
2 Journal of Applied Mathematics and Computing
2 GAMM-Mitteilungen
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Science China. Mathematics
2 SIAM Journal on Applied Algebra and Geometry
1 Applicable Analysis
1 Journal of Engineering Mathematics
1 Physica A
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 Journal of Computational Mathematics
1 Facta Universitatis. Series Mathematics and Informatics
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 Applied Mathematical Modelling
1 Pattern Recognition
1 SIAM Journal on Optimization
1 Applied Mathematics. Series B (English Edition)
1 Applicationes Mathematicae
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 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Optimization and Engineering
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Acta Mathematica Scientia. Series B. (English Edition)
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 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 Discrete and Continuous Dynamical Systems. Series S
1 Mathematical Geosciences
1 Numerical Algebra, Control and Optimization
1 Mathematical Sciences
1 East Asian Journal on Applied Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 AIMS Mathematics
1 Results in Applied Mathematics
1 SIAM Journal on Mathematics of Data Science

Citations by Year