Michiel E. Hochstenbach

,

Tomaz Kosir

,

Numer. Linear Algebra Appl., March, 2024

On Stochastic Roundoff Errors in Gradient Descent with Low-Precision Computation.

[BibT_eX]

[DOI]

,

Stefano Massei

,

,

J. Optim. Theory Appl., February, 2024

A homogeneous Rayleigh quotient with applications in gradient methods.

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., February, 2024

A Restricted SVD Type CUR Decomposition for Matrix Triplets.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2024

Numerical methods for eigenvalues of singular polynomial eigenvalue problems.

[BibT_eX]

[DOI]

,

,

CoRR, 2024

Solving singular generalized eigenvalue problems. Part III: structure preservation.

[BibT_eX]

[DOI]

,

,

CoRR, 2024

A subspace method for large-scale trace ratio problems.

[BibT_eX]

[DOI]

,

,

M. R. Oliveira

CoRR, 2024

Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation.

[BibT_eX]

[DOI]

,

,

SIAM J. Matrix Anal. Appl., December, 2023

A harmonic framework for stepsize selection in gradient methods.

[BibT_eX]

[DOI]

,

,

Natasa Krejic

Comput. Optim. Appl., May, 2023

A DEIM-CUR factorization with iterative SVDs.

[BibT_eX]

[DOI]

,

CoRR, 2023

Limited memory gradient methods for unconstrained optimization.

[BibT_eX]

[DOI]

,

CoRR, 2023

On the Convergence of the Gradient Descent Method with Stochastic Fixed-point Rounding Errors under the Polyak-Lojasiewicz Inequality.

[BibT_eX]

[DOI]

,

,

Stefano Massei

CoRR, 2023

A Generalized CUR Decomposition for Matrix Pairs.

[BibT_eX]

[DOI]

,

SIAM J. Math. Data Sci., 2022

On the solution of rectangular multiparameter eigenvalue problems.

[BibT_eX]

[DOI]

,

Tomaz Kosir

,

CoRR, 2022

On the trace ratio method and Fisher's discriminant analysis for robust multigroup classification.

[BibT_eX]

[DOI]

,

Igor V. Kravchenko

,

,

M. Rosário Oliveira

CoRR, 2022

RSVD-CUR Decomposition for Matrix Triplets.

[BibT_eX]

[DOI]

,

CoRR, 2022

On the influence of roundoff errors on the convergence of the gradient descent method with low-precision floating-point computation.

[BibT_eX]

[DOI]

,

Stefano Massei

,

,

CoRR, 2022

A harmonic framework for stepsize selectionin gradient methods.

[BibT_eX]

[DOI]

,

,

Natasa Krejic

CoRR, 2022

A hybrid DEIM and leverage scores based method for CUR index selection.

[BibT_eX]

[DOI]

,

CoRR, 2022

A Twin Error Gauge for Kaczmarz's Iterations.

[BibT_eX]

[DOI]

Bart S. van Lith

,

Per Christian Hansen

,

SIAM J. Sci. Comput., 2021

BROCCOLI: overlapping and outlier-robust biclustering through proximal stochastic gradient descent.

[BibT_eX]

[DOI]

Sibylle Hess

,

Gianvito Pio

,

,

Michelangelo Ceci

Data Min. Knowl. Discov., 2021

A Simple and Efficient Stochastic Rounding Method for Training Neural Networks in Low Precision.

[BibT_eX]

[DOI]

,

Martijn Anthonissen

,

,

CoRR, 2021

Improved stochastic rounding.

[BibT_eX]

[DOI]

,

Martijn Anthonissen

,

,

CoRR, 2020

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector.

[BibT_eX]

[DOI]

Yiqiu Dong

,

Per Christian Hansen

,

Nicolai André Brogaard Riis

,

SIAM J. Sci. Comput., 2019

Solving Singular Generalized Eigenvalue Problems by a Rank-Completing Perturbation.

[BibT_eX]

[DOI]

,

,

SIAM J. Matrix Anal. Appl., 2019

Subspace methods for three-parameter eigenvalue problems.

[BibT_eX]

[DOI]

,

Karl Meerbergen

,

Emre Mengi

,

Numer. Linear Algebra Appl., 2019

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

[BibT_eX]

[DOI]

Ian N. Zwaan

,

SIAM J. Matrix Anal. Appl., 2017

Uniform Determinantal Representations.

[BibT_eX]

[DOI]

Ada Boralevi

,

Jasper van Doornmalen

,

Jan Draisma

,

,

SIAM J. Appl. Algebra Geom., 2017

Multidirectional Subspace Expansion for One-Parameter and Multiparameter Tikhonov Regularization.

[BibT_eX]

[DOI]

Ian N. Zwaan

,

J. Sci. Comput., 2017

Roots of Bivariate Polynomial Systems via Determinantal Representations.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2016

Krylov Approximation of Linear ODEs with Polynomial Parameterization.

[BibT_eX]

[DOI]

Antti Koskela

,

Elias Jarlebring

,

SIAM J. Matrix Anal. Appl., 2016

Probabilistic Bounds for the Matrix Condition Number with Extended Lanczos Bidiagonalization.

[BibT_eX]

[DOI]

Sarah W. Gaaf

,

SIAM J. Sci. Comput., 2015

A Golub-Kahan-Type Reduction Method for Matrix Pairs.

[BibT_eX]

[DOI]

,

,

Xuebo Yu

J. Sci. Comput., 2015

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

[BibT_eX]

[DOI]

,

Calin-Ioan Gheorghiu

,

J. Comput. Phys., 2015

Regularization parameter determination for discrete ill-posed problems.

[BibT_eX]

[DOI]

,

,

Giuseppe Rodriguez

J. Comput. Appl. Math., 2015

Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems.

[BibT_eX]

[DOI]

,

Andrej Muhic

,

J. Comput. Appl. Math., 2015

Probabilistic Upper Bounds for the Matrix Two-Norm.

[BibT_eX]

[DOI]

J. Sci. Comput., 2013

Polynomial optimization and a Jacobi-Davidson type method for commuting matrices.

[BibT_eX]

[DOI]

Ivo W. M. Bleylevens

,

,

Ralf L. M. Peeters

Appl. Math. Comput., 2013

Combining approximate solutions for linear discrete ill-posed problems.

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., 2012

Spectral collocation solutions to multiparameter Mathieu's system.

[BibT_eX]

[DOI]

Calin-Ioan Gheorghiu

,

,

,

Joost Rommes

Appl. Math. Comput., 2012

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

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., 2010

Controlling Inner Iterations in the Jacobi-Davidson Method.

[BibT_eX]

[DOI]

,

Yvan Notay

SIAM J. Matrix Anal. Appl., 2009

Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem.

[BibT_eX]

[DOI]

,

Gerard L. G. Sleijpen

Numer. Linear Algebra Appl., 2008

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

[BibT_eX]

[DOI]

Peter Arbenz

,

SIAM J. Sci. Comput., 2004

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

[BibT_eX]

[DOI]

,

Tomaz Kosir

,

SIAM J. Matrix Anal. Appl., 2004

Alternatives to the Rayleigh Quotient for the Quadratic Eigenvalue Problem.

[BibT_eX]

[DOI]

,

Henk A. van der Vorst

SIAM J. Sci. Comput., 2003

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

[BibT_eX]

[DOI]

,

SIAM J. Matrix Anal. Appl., 2002

A Jacobi-Davidson Type SVD Method.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2001

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

[BibT_eX]

[DOI]

Jos L. M. van Dorsselaer

,