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1

On the numerical range of a matrix

F. Zachlin, Paul, E. Hochstenbach, Michiel

Journal:

Linear and Multilinear Algebra

Year:

2008

Language:

english

File:

PDF, 337 KB

english, 2008

2

Harmonic and refined Rayleigh–Ritz for the polynomial eigenvalue problem

Michiel E. Hochstenbach, Gerard L. G. Sleijpen

Journal:

Numerical Linear Algebra with Applications

Year:

2008

Language:

english

File:

PDF, 191 KB

english, 2008

3

An iterative method for Tikhonov regularization with a general linear regularization operator

Hochstenbach, Michiel E., Reichel, Lothar

Journal:

Journal of Integral Equations and Applications

Year:

2010

Language:

faroese

File:

PDF, 359 KB

faroese, 2010

4

Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem

Michiel E. Hochstenbach, Bor Plestenjak

Journal:

Linear Algebra and its Applications

Year:

2003

Language:

english

File:

PDF, 777 KB

english, 2003

5

Subspace-restricted singular value decompositions for linear discrete ill-posed problems

Michiel E. Hochstenbach, Lothar Reichel

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 657 KB

english, 2010

6

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

Plestenjak, Bor, Gheorghiu, Călin I., Hochstenbach, Michiel E.

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 1.53 MB

english, 2015

7

On linearizations of the quadratic two-parameter eigenvalue problem

Michiel E. Hochstenbach, Andrej Muhič, Bor Plestenjak

Journal:

Linear Algebra and its Applications

Year:

2012

Language:

english

File:

PDF, 372 KB

english, 2012

8

Two-sided and alternating Jacobi–Davidson

Michiel E. Hochstenbach, Gerard L.G. Sleijpen

Journal:

Linear Algebra and its Applications

Year:

2003

Language:

english

File:

PDF, 971 KB

english, 2003

9

Fractional regularization matrices for linear discrete ill-posed problems

Hochstenbach, Michiel E., Noschese, Silvia, Reichel, Lothar

Journal:

Journal of Engineering Mathematics

Year:

2015

Language:

english

File:

PDF, 321 KB

english, 2015

10

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector

Dong, Yiqiu, Hansen, Per Christian, Hochstenbach, Michiel E., Brogaard Riis, Nicolai André

Journal:

SIAM Journal on Scientific Computing

Year:

2019

File:

PDF, 626 KB

2019

11

Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations

Elias Jarlebring, Michiel E. Hochstenbach

Journal:

Linear Algebra and its Applications

Year:

2009

Language:

english

File:

PDF, 185 KB

english, 2009

12

Multidirectional Subspace Expansion for One-Parameter and Multiparameter Tikhonov Regularization

Zwaan, Ian N., Hochstenbach, Michiel E.

Journal:

Journal of Scientific Computing

Year:

2017

Language:

english

File:

PDF, 732 KB

english, 2017

13

[IEEE 2011 International Conference on Communications, Computing and Control Applications (CCCA) - Hammamet, Tunisia (2011.03.3-2011.03.5)] 2011 International Conference on Communications, Computing and Control Applications (CCCA) - Model order reduction of large-scale dynamical systems with Jacobi-Davidson style eigensolvers

Benner, Peter, Hochstenbach, Michiel E., Kurschner, Patrick

Year:

2011

Language:

english

File:

PDF, 284 KB

english, 2011

14

Probabilistic Bounds for the Matrix Condition Number with Extended Lanczos Bidiagonalization

Gaaf, Sarah W., Hochstenbach, Michiel E.

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 319 KB

english, 2015

15

A Jacobi--Davidson Method for Solving Complex Symmetric Eigenvalue Problems

Arbenz, Peter, Hochstenbach, Michiel E.

Journal:

SIAM Journal on Scientific Computing

Year:

2004

Language:

english

File:

PDF, 347 KB

english, 2004

16

Eigenvalue inclusion regions from inverses of shifted matrices

Michiel E. Hochstenbach, David A. Singer, Paul F. Zachlin

Journal:

Linear Algebra and its Applications

Year:

2008

Language:

english

File:

PDF, 423 KB

english, 2008

17

Probabilistic Upper Bounds for the Matrix Two-Norm

Michiel E. Hochstenbach

Journal:

Journal of Scientific Computing

Year:

2013

Language:

english

File:

PDF, 280 KB

english, 2013

18

A Golub–Kahan-Type Reduction Method for Matrix Pairs

Hochstenbach, Michiel E., Reichel, Lothar, Yu, Xuebo

Journal:

Journal of Scientific Computing

Year:

2015

Language:

english

File:

PDF, 1.65 MB

english, 2015

19

A Jacobi–Davidson type method for the product eigenvalue problem

Michiel E. Hochstenbach

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 236 KB

english, 2008

20

A Jacobi--Davidson Type Method for a Right Definite Two-Parameter Eigenvalue Problem

Hochstenbach, Michiel E., Plestenjak, Bor

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 301 KB

english, 2002

21

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector

Dong, Yiqiu, Hansen, Per Christian, Hochstenbach, Michiel E., Brogaard Riis, Nicolai André

Journal:

SIAM Journal on Scientific Computing

Year:

2019

Language:

english

File:

PDF, 626 KB

english, 2019

22

A Jacobi--Davidson Type SVD Method

Hochstenbach, Michiel E.

Journal:

SIAM Journal on Scientific Computing

Year:

2001

Language:

english

File:

PDF, 344 KB

english, 2001

23

Alternatives to the Rayleigh Quotient for the Quadratic Eigenvalue Problem

Hochstenbach, Michiel E., van der Vorst, Henk A.

Journal:

SIAM Journal on Scientific Computing

Year:

2003

Language:

english

File:

PDF, 176 KB

english, 2003

24

Krylov--Schur-Type Restarts for the Two-Sided Arnoldi Method

Zwaan, Ian N., Hochstenbach, Michiel E.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 1.63 MB

english, 2017

25

Jacobi–Davidson methods for polynomial two-parameter eigenvalue problems

Hochstenbach, Michiel E., Muhič, Andrej, Plestenjak, Bor

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 437 KB

english, 2015

26

Krylov Approximation of Linear ODEs with Polynomial Parameterization

Koskela, Antti, Jarlebring, Elias, Hochstenbach, Michiel E.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 573 KB

english, 2016

27

Subspace methods for three‐parameter eigenvalue problems

Hochstenbach, Michiel E., Meerbergen, Karl, Mengi, Emre, Plestenjak, Bor

Journal:

Numerical Linear Algebra with Applications

Year:

2019

Language:

english

File:

PDF, 1.35 MB

english, 2019

28

Polynomial optimization and a Jacobi–Davidson type method for commuting matrices

Bleylevens, Ivo W.M., Hochstenbach, Michiel E., Peeters, Ralf L.M.

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 2.41 MB

english, 2013

29

Roots of Bivariate Polynomial Systems via Determinantal Representations

Plestenjak, Bor, Hochstenbach, Michiel E.

Journal:

SIAM Journal on Scientific Computing

Year:

2016

Language:

english

File:

PDF, 524 KB

english, 2016

30

Controlling Inner Iterations in the Jacobi–Davidson Method

Hochstenbach, Michiel E., Notay, Yvan

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 357 KB

english, 2009

31

Combining approximate solutions for linear discrete ill-posed problems

Michiel E. Hochstenbach, Lothar Reichel

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 233 KB

english, 2012

32

Two-sided harmonic subspace extractions for the generalized eigenvalue problem

Peter Benner, Michiel Hochstenbach, Patrick Kürschner

Journal:

Year:

2011

Language:

english

File:

PDF, 177 KB

english, 2011

33

Computing Probabilistic Bounds for Extreme Eigenvalues of Symmetric Matrices with the Lanczos Method

van Dorsselaer, Jos L. M., Hochstenbach, Michiel E., van der Vorst, Henk A.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 218 KB

english, 2001

34

Uniform Determinantal Representations

Boralevi, Ada, van Doornmalen, Jasper, Draisma, Jan, Hochstenbach, Michiel E., Plestenjak, Bor

Journal:

SIAM Journal on Applied Algebra and Geometry

Year:

2017

Language:

english

File:

PDF, 429 KB

english, 2017

35

Computing several eigenvalues of nonlinear eigenvalue problems by selection

Hochstenbach, Michiel E., Plestenjak, Bor

Journal:

Year:

2020

File:

PDF, 2.67 MB

2020

36

A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem

Hochstenbach, Michiel E., Kosir, Tomaz, Plestenjak, Bor

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 257 KB

english, 2004

37

Fractional Tikhonov regularization for linear discrete ill-posed problems

Michiel E. Hochstenbach, Lothar Reichel

Journal:

BIT Numerical Mathematics

Year:

2011

Language:

english

File:

PDF, 752 KB

english, 2011

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