Anne Greenbaum

Anne Greenbaum

University of Washington

H-index: 33

North America-United States

About Anne Greenbaum

Anne Greenbaum, With an exceptional h-index of 33 and a recent h-index of 18 (since 2020), a distinguished researcher at University of Washington, specializes in the field of numerical analysis, linear algebra and operator theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Comparison of K-Spectral Set Bounds on Norms of Functions of a Matrix or Operator

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

Near-Optimal Approximation of Matrix Functions by the Lanczos Method

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

K-Spectral Sets

Low-memory Krylov subspace methods for optimal rational matrix function approximation

Optimal polynomial approximation to rational matrix functions using the Arnoldi algorithm

Open Problems in the Analysis of Krylov Subspace Methods

Anne Greenbaum Information

University

Position

Professor of Applied Math

Citations(all)

19075

Citations(since 2020)

3637

Cited By

16551

hIndex(all)

33

hIndex(since 2020)

18

i10Index(all)

62

i10Index(since 2020)

32

Email

University Profile Page

University of Washington

Google Scholar

View Google Scholar Profile

Anne Greenbaum Skills & Research Interests

numerical analysis

linear algebra and operator theory

Top articles of Anne Greenbaum

Title

Journal

Author(s)

Publication Date

Comparison of K-Spectral Set Bounds on Norms of Functions of a Matrix or Operator

Linear Algebra and its Applications

Anne Greenbaum

Natalie Wellen

2024/4/12

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

Mathematics of Computation

Tyler Chen

Anne Greenbaum

Thomas Trogdon

2024

Near-Optimal Approximation of Matrix Functions by the Lanczos Method

arXiv preprint arXiv:2303.03358

Noah Amsel

Tyler Chen

Anne Greenbaum

Cameron Musco

Chris Musco

2023/3/6

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

arXiv e-prints

Noah Amsel

Tyler Chen

Anne Greenbaum

Cameron Musco

Chris Musco

2023/3

K-Spectral Sets

arXiv preprint arXiv:2302.05535

Anne Greenbaum

Natalie Wellen

2023/2/10

Low-memory Krylov subspace methods for optimal rational matrix function approximation

SIAM Journal on Matrix Analysis and Applications

Tyler Chen

Anne Greenbaum

Cameron Musco

Christopher Musco

2023/6/30

Optimal polynomial approximation to rational matrix functions using the Arnoldi algorithm

arXiv preprint arXiv:2306.17308

Tyler Chen

Anne Greenbaum

Natalie Wellen

2023/6/29

Open Problems in the Analysis of Krylov Subspace Methods

NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY

Anne Greenbaum

2023/5

Error bounds for lanczos-based matrix function approximation

SIAM Journal on Matrix Analysis and Applications

Tyler Chen

Anne Greenbaum

Cameron Musco

Christopher Musco

2022

On the convergence rate of variants of the conjugate gradient algorithm in finite precision arithmetic

SIAM Journal on Scientific Computing

Anne Greenbaum

Hexuan Liu

Tyler Chen

2021

Crouzeix’s conjecture and related problems

Computational Methods and Function Theory

Kelly Bickel

Pamela Gorkin

Anne Greenbaum

Thomas Ransford

Felix L Schwenninger

...

2020/11

Parallel Variants of the Conjugate Gradient Algorithm and their Performance in Finite Precision Arithmetic

XXI Householder Symposium on Numerical Linear Algebra

Anne Greenbaum

Hexuan Liu

Tyler Chen

2020/6/14

Analyzing the Effects of Local Roundoff Error on Predict-and-Recompute Conjugate Gradient Variants

XXI Householder Symposium on Numerical Linear Algebra

Tyler Chen

Erin Carson

Anne Greenbaum

2020/6/14

Crouzeix's Conjecture and Related Problems

Pamela Gorkin

Kelly Bickel

Anne Greenbaum

Thomas Ransford

Felix Schwenninger

...

2020

First-order perturbation theory for eigenvalues and eigenvectors

SIAM review

Anne Greenbaum

Ren-cang Li

Michael L Overton

2020

See List of Professors in Anne Greenbaum University(University of Washington)