Anne Greenbaum

Publication Activity (10 Years)

Years Active: 1979-2023
Publications (10 Years): 18

Top Topics

Temporal Difference Learning Algorithms

Conjugate Gradient

Polynomial Approximation

Top Venues

SIAM J. Matrix Anal. Appl.

Numer. Linear Algebra Appl.

Publications

Michel Crouzeix, Anne Greenbaum, Kenan Li
Numerical bounds on the Crouzeix ratio for a class of matrices. CoRR (2023)
Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
Low-Memory Krylov Subspace Methods for Optimal Rational Matrix Function Approximation. SIAM J. Matrix Anal. Appl. 44 (2) (2023)
Tyler Chen, Anne Greenbaum, Natalie Wellen
Optimal Polynomial Approximation to Rational Matrix Functions Using the Arnoldi Algorithm. CoRR (2023)
Tyler Chen, Anne Greenbaum, Thomas Trogdon
GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices. CoRR (2023)
Anne Greenbaum, Natalie Wellen
K-Spectral Sets. CoRR (2023)
Noah Amsel, Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
Near-Optimality Guarantees for Approximating Rational Matrix Functions by the Lanczos Method. CoRR (2023)
Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
Low-memory Krylov subspace methods for optimal rational matrix function approximation. CoRR (2022)
Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
Error Bounds for Lanczos-Based Matrix Function Approximation. SIAM J. Matrix Anal. Appl. 43 (2) (2022)
Anne Greenbaum, Hexuan Liu, Tyler Chen
On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic. SIAM J. Sci. Comput. 43 (5) (2021)
Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
Error bounds for Lanczos-based matrix function approximation. CoRR (2021)
Kelly Bickel, Pamela Gorkin, Anne Greenbaum, Thomas Ransford, Felix L. Schwenninger, Elias Wegert
Crouzeix's Conjecture and related problems. CoRR (2020)
Anne Greenbaum, Ren-Cang Li, Michael L. Overton
First-Order Perturbation Theory for Eigenvalues and Eigenvectors. SIAM Rev. 62 (2) (2020)
Michel Crouzeix, Anne Greenbaum
Spectral Sets: Numerical Range and Beyond. SIAM J. Matrix Anal. Appl. 40 (3) (2019)
Anne Greenbaum, Ren-Cang Li, Michael L. Overton
First-order Perturbation Theory for Eigenvalues and Eigenvectors. CoRR (2019)
Anne Greenbaum, Hexuan Liu, Tyler Chen
On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic. CoRR (2019)
Trevor C. Caldwell, Anne Greenbaum, Kenan Li
Some Extensions of the Crouzeix-Palencia Result. SIAM J. Matrix Anal. Appl. 39 (2) (2018)
Anne Greenbaum, Adrian S. Lewis, Michael L. Overton
Variational analysis of the Crouzeix ratio. Math. Program. 164 (1-2) (2017)
Anne Greenbaum, Trevor C. Caldwell, Kenan Li
Near Normal Dilations of Nonnormal Matrices and Linear Operators. SIAM J. Matrix Anal. Appl. 37 (4) (2016)
Daeshik Choi, Anne Greenbaum
Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture. SIAM J. Matrix Anal. Appl. 36 (1) (2015)
Meng-Huo Chen, Anne Greenbaum
Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Numer. Linear Algebra Appl. 22 (4) (2015)
Daeshik Choi, Anne Greenbaum
An Algorithm for Finding a 2-Similarity Transformation from a Numerical Contraction to a Contraction. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
Britton Chang, Anne Greenbaum, Eric Machorro
Global error bounds for the Petrov-Galerkin discretization of the neutron transport equation. Numer. Linear Algebra Appl. 18 (1) (2011)
Anita Mayo, Anne Greenbaum
Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions. J. Comput. Phys. 220 (2) (2007)
Anne Greenbaum
. SIAM J. Sci. Comput. 25 (2) (2003)
Vladimir Druskin, Anne Greenbaum, Leonid Knizhnerman
Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions. SIAM J. Sci. Comput. 19 (1) (1998)
Anne Greenbaum
Estimating the Attainable Accuracy of Recursively Computed Residual Methods. SIAM J. Matrix Anal. Appl. 18 (3) (1997)
Anne Greenbaum, Vlastimil Pták, Zdenek Strakos
Any Nonincreasing Convergence Curve is Possible for GMRES. SIAM J. Matrix Anal. Appl. 17 (3) (1996)
Jane Cullum, Anne Greenbaum
Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems. SIAM J. Matrix Anal. Appl. 17 (2) (1996)
Leonid Gurvits, Anne Greenbaum
A Further Note on Max-Min Properties of Matrix Factor Norms. SIAM J. Sci. Comput. 16 (2) (1995)
Anne Greenbaum, Lloyd N. Trefethen
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems. SIAM J. Sci. Comput. 15 (2) (1994)
Anne Greenbaum, Leonid Gurvits
Max-Min Properties of Matrix Factor Norms. SIAM J. Sci. Comput. 15 (2) (1994)
Anne Greenbaum, Zdenek Strakos
Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations. SIAM J. Matrix Anal. Appl. 13 (1) (1992)
Anita Mayo, Anne Greenbaum
Fast Parallel Iterative Solution of Poisson's and the Biharmonic Equations on Irregular Regions. SIAM J. Sci. Comput. 13 (1) (1992)
Anne Greenbaum
Diagonal Scalings of the Laplacian as Preconditioners for Other Elliptic Differential Operators. SIAM J. Matrix Anal. Appl. 13 (3) (1992)
Ed Anderson, Zhaojun Bai, Jack J. Dongarra, Anne Greenbaum, A. McKenney, Jeremy Du Croz, Sven Hammarling, James Demmel, Christian H. Bischof, Danny C. Sorensen
LAPACK: a portable linear algebra library for high-performance computers. SC (1990)
Anne Greenbaum
Synchronization costs on multiprocessors. Parallel Comput. 10 (1) (1989)
Paul F. Dubois, Anne Greenbaum, Garry H. Rodrigue
Approximating the inverse of a matrix for use in iterative algorithms on vector processors. Computing 22 (3) (1979)