Anne Greenbaum

According to our database, Anne Greenbaum authored at least 36 papers between 1979 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices.

Tyler Chen, Anne Greenbaum, Thomas Trogdon

Math. Comput., 2024

2023

Low-Memory Krylov Subspace Methods for Optimal Rational Matrix Function Approximation.

Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco

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

Numerical bounds on the Crouzeix ratio for a class of matrices.

Michel Crouzeix, Anne Greenbaum, Kenan Li

CoRR, 2023

Optimal Polynomial Approximation to Rational Matrix Functions Using the Arnoldi Algorithm.

Tyler Chen, Anne Greenbaum, Natalie Wellen

CoRR, 2023

Near-Optimality Guarantees for Approximating Rational Matrix Functions by the Lanczos Method.

Noah Amsel, Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco

CoRR, 2023

K-Spectral Sets.

Anne Greenbaum, Natalie Wellen

CoRR, 2023

2022

Error Bounds for Lanczos-Based Matrix Function Approximation.

Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco

SIAM J. Matrix Anal. Appl., 2022

2021

On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic.

Anne Greenbaum, Hexuan Liu, Tyler Chen

SIAM J. Sci. Comput., 2021

2020

First-Order Perturbation Theory for Eigenvalues and Eigenvectors.

Anne Greenbaum, Ren-Cang Li, Michael L. Overton

SIAM Rev., 2020

Crouzeix's Conjecture and related problems.

Kelly Bickel, Pamela Gorkin, Anne Greenbaum, Thomas Ransford, Felix L. Schwenninger, Elias Wegert

CoRR, 2020

2019

Spectral Sets: Numerical Range and Beyond.

Michel Crouzeix, Anne Greenbaum

SIAM J. Matrix Anal. Appl., 2019

2018

Some Extensions of the Crouzeix-Palencia Result.

Trevor C. Caldwell, Anne Greenbaum, Kenan Li

SIAM J. Matrix Anal. Appl., 2018

2017

Variational analysis of the Crouzeix ratio.

Anne Greenbaum, Adrian S. Lewis, Michael L. Overton

Math. Program., 2017

2016

Near Normal Dilations of Nonnormal Matrices and Linear Operators.

Anne Greenbaum, Trevor C. Caldwell, Kenan Li

SIAM J. Matrix Anal. Appl., 2016

2015

An Algorithm for Finding a 2-Similarity Transformation from a Numerical Contraction to a Contraction.

Daeshik Choi, Anne Greenbaum

SIAM J. Matrix Anal. Appl., 2015

Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture.

Daeshik Choi, Anne Greenbaum

SIAM J. Matrix Anal. Appl., 2015

Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem.

Meng-Huo Chen, Anne Greenbaum

Numer. Linear Algebra Appl., 2015

2011

Global error bounds for the Petrov-Galerkin discretization of the neutron transport equation.

Britton Chang, Anne Greenbaum, Eric Machorro

Numer. Linear Algebra Appl., 2011

2007

Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions.

Anita Mayo, Anne Greenbaum

J. Comput. Phys., 2007

Commentary.

Anne Greenbaum

Proceedings of the Milestones in Matrix Computation, 2007

2003

Card Shuffling and the Polynomial Numerical Hull of Degree <i>k</i>.

Anne Greenbaum

SIAM J. Sci. Comput., 2003

1999

LAPACK Users' Guide, Third Edition

Edward C. Anderson, Zhaojun Bai, Christian H. Bischof, L. Susan Blackford, James Demmel, Jack J. Dongarra, Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, A. McKenney, Danny C. Sorensen

Software, Environments and Tools, SIAM, ISBN: 978-0-89871-960-4, 1999

1998

Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions.

Vladimir Druskin, Anne Greenbaum, Leonid Knizhnerman

SIAM J. Sci. Comput., 1998

1997

Estimating the Attainable Accuracy of Recursively Computed Residual Methods.

Anne Greenbaum

SIAM J. Matrix Anal. Appl., July, 1997

Iterative methods for solving linear systems.

Anne Greenbaum

Frontiers in applied mathematics 17, SIAM, ISBN: 978-0-89871-396-1, 1997

1996

Any Nonincreasing Convergence Curve is Possible for GMRES.

Anne Greenbaum, Vlastimil Pták, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 1996

Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems.

Jane Cullum, Anne Greenbaum

SIAM J. Matrix Anal. Appl., 1996

1995

A Further Note on Max-Min Properties of Matrix Factor Norms.

Leonid Gurvits, Anne Greenbaum

SIAM J. Sci. Comput., 1995

1994

GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems.

Anne Greenbaum, Lloyd N. Trefethen

SIAM J. Sci. Comput., 1994

Max-Min Properties of Matrix Factor Norms.

Anne Greenbaum, Leonid Gurvits

SIAM J. Sci. Comput., 1994

1992

Fast Parallel Iterative Solution of Poisson's and the Biharmonic Equations on Irregular Regions.

Anita Mayo, Anne Greenbaum

SIAM J. Sci. Comput., 1992

Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations.

Anne Greenbaum, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 1992

Diagonal Scalings of the Laplacian as Preconditioners for Other Elliptic Differential Operators.

Anne Greenbaum

SIAM J. Matrix Anal. Appl., 1992

1990

LAPACK: a portable linear algebra library for high-performance computers.

Edward C. Anderson, Zhaojun Bai, Jack J. Dongarra, Anne Greenbaum, A. McKenney, Jeremy Du Croz, Sven Hammarling, James Demmel, Christian H. Bischof, Danny C. Sorensen

Proceedings of the Proceedings Supercomputing '90, New York, NY, USA, November 12-16, 1990, 1990

1989

Synchronization costs on multiprocessors.

Anne Greenbaum

Parallel Comput., 1989

1979

Approximating the inverse of a matrix for use in iterative algorithms on vector processors.

Paul F. Dubois, Anne Greenbaum, Garry H. Rodrigue

Computing, 1979