Anne Greenbaum

47 papers A* 1A 1Journal 42

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop. CoRR Noah Amsel, Yves Baumann, Paul Beckman, Peter Bürgisser, Chris Camaño, Tyler Chen, Edmond Chow, Anil Damle, Michal Derezinski, Mark Embree, Ethan N. Epperly, Robert D. Falgout, Mark Fornace, Anne Greenbaum, Chen Greif, Diana Halikias, Zhen Huang, Elias Jarlebring, Yiannis Koutis, Daniel Kressner, Rasmus Kyng, Jörg Liesen, Jackie Lok, Raphael A. Meyer, Yuji Nakatsukasa, Kate Pearce, Richard Peng, David Persson, Elizaveta Rebrova, Ryan Schneider, Rikhav Shah, Edgar Solomonik, Nikhil Srivastava, Alex Townsend, Robert J. Webber, Jess Williams
2025	J	`jnl`	A New Proof that the Numerical Range is a Complete 2-Spectral Set for Weighted Shift Matrices. CoRR Michel Crouzeix, Anne Greenbaum
2025	J	`jnl`	Optimal polynomial approximation to rational matrix functions using the Arnoldi algorithm. Numer. Algorithms Tyler Chen, Anne Greenbaum, Natalie Wellen
2025	J	`jnl`	Stable algorithms for general linear systems by preconditioning the normal equations. CoRR Ethan N. Epperly, Anne Greenbaum, Yuji Nakatsukasa
2025	J	`jnl`	When is the Resolvent Like a Rank One Matrix? CoRR Anne Greenbaum, Faranges Kyanfar, Abbas Salemi
2024	J	`jnl`	GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices. Math. Comput. Tyler Chen, Anne Greenbaum, Thomas Trogdon
2024	A*	`conf`	Nearly Optimal Approximation of Matrix Functions by the Lanczos Method. NeurIPS Noah Amsel, Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
2023	J	`jnl`	GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices. CoRR Tyler Chen, Anne Greenbaum, Thomas Trogdon
2023	J	`jnl`	K-Spectral Sets. CoRR Anne Greenbaum, Natalie Wellen
2023	J	`jnl`	Low-Memory Krylov Subspace Methods for Optimal Rational Matrix Function Approximation. SIAM J. Matrix Anal. Appl. Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
2023	J	`jnl`	Near-Optimality Guarantees for Approximating Rational Matrix Functions by the Lanczos Method. CoRR Noah Amsel, Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
2023	J	`jnl`	Numerical bounds on the Crouzeix ratio for a class of matrices. CoRR Michel Crouzeix, Anne Greenbaum, Kenan Li
2023	J	`jnl`	Optimal Polynomial Approximation to Rational Matrix Functions Using the Arnoldi Algorithm. CoRR Tyler Chen, Anne Greenbaum, Natalie Wellen
2022	J	`jnl`	Error Bounds for Lanczos-Based Matrix Function Approximation. SIAM J. Matrix Anal. Appl. Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
2022	J	`jnl`	Low-memory Krylov subspace methods for optimal rational matrix function approximation. CoRR Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
2021	J	`jnl`	Error bounds for Lanczos-based matrix function approximation. CoRR Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco
2021	J	`jnl`	On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic. SIAM J. Sci. Comput. Anne Greenbaum, Hexuan Liu, Tyler Chen
2020	J	`jnl`	Crouzeix's Conjecture and related problems. CoRR Kelly Bickel, Pamela Gorkin, Anne Greenbaum, Thomas Ransford, Felix L. Schwenninger, Elias Wegert
2020	J	`jnl`	First-Order Perturbation Theory for Eigenvalues and Eigenvectors. SIAM Rev. Anne Greenbaum, Ren-Cang Li, Michael L. Overton
2019	J	`jnl`	First-order Perturbation Theory for Eigenvalues and Eigenvectors. CoRR Anne Greenbaum, Ren-Cang Li, Michael L. Overton
2019	J	`jnl`	On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic. CoRR Anne Greenbaum, Hexuan Liu, Tyler Chen
2019	J	`jnl`	Spectral Sets: Numerical Range and Beyond. SIAM J. Matrix Anal. Appl. Michel Crouzeix, Anne Greenbaum
2018	J	`jnl`	Some Extensions of the Crouzeix-Palencia Result. SIAM J. Matrix Anal. Appl. Trevor C. Caldwell, Anne Greenbaum, Kenan Li
2017	J	`jnl`	Variational analysis of the Crouzeix ratio. Math. Program. Anne Greenbaum, Adrian S. Lewis, Michael L. Overton
2016	J	`jnl`	Near Normal Dilations of Nonnormal Matrices and Linear Operators. SIAM J. Matrix Anal. Appl. Anne Greenbaum, Trevor C. Caldwell, Kenan Li
2015	J	`jnl`	An Algorithm for Finding a 2-Similarity Transformation from a Numerical Contraction to a Contraction. SIAM J. Matrix Anal. Appl. Daeshik Choi, Anne Greenbaum
2015	J	`jnl`	Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Numer. Linear Algebra Appl. Meng-Huo Chen, Anne Greenbaum
2015	J	`jnl`	Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture. SIAM J. Matrix Anal. Appl. Daeshik Choi, Anne Greenbaum
2011	J	`jnl`	Global error bounds for the Petrov-Galerkin discretization of the neutron transport equation. Numer. Linear Algebra Appl. Britton Chang, Anne Greenbaum, Eric Machorro
2007	—	`ch.`	Commentary. Milestones in Matrix Computation Anne Greenbaum
2007	J	`jnl`	Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions. J. Comput. Phys. Anita Mayo, Anne Greenbaum
2003	J	`jnl`	Card Shuffling and the Polynomial Numerical Hull of Degree SIAM J. Sci. Comput. Anne Greenbaum
1999	—	`book`	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
1998	J	`jnl`	Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions. SIAM J. Sci. Comput. Vladimir Druskin, Anne Greenbaum, Leonid Knizhnerman
1997	J	`jnl`	Estimating the Attainable Accuracy of Recursively Computed Residual Methods. SIAM J. Matrix Anal. Appl. Anne Greenbaum
1997	—	`book`	Iterative methods for solving linear systems. Anne Greenbaum
1996	J	`jnl`	Any Nonincreasing Convergence Curve is Possible for GMRES. SIAM J. Matrix Anal. Appl. Anne Greenbaum, Vlastimil Pták, Zdenek Strakos
1996	J	`jnl`	Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems. SIAM J. Matrix Anal. Appl. Jane Cullum, Anne Greenbaum
1995	J	`jnl`	A Further Note on Max-Min Properties of Matrix Factor Norms. SIAM J. Sci. Comput. Leonid Gurvits, Anne Greenbaum
1994	J	`jnl`	GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems. SIAM J. Sci. Comput. Anne Greenbaum, Lloyd N. Trefethen
1994	J	`jnl`	Max-Min Properties of Matrix Factor Norms. SIAM J. Sci. Comput. Anne Greenbaum, Leonid Gurvits
1992	J	`jnl`	Diagonal Scalings of the Laplacian as Preconditioners for Other Elliptic Differential Operators. SIAM J. Matrix Anal. Appl. Anne Greenbaum
1992	J	`jnl`	Fast Parallel Iterative Solution of Poisson's and the Biharmonic Equations on Irregular Regions. SIAM J. Sci. Comput. Anita Mayo, Anne Greenbaum
1992	J	`jnl`	Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations. SIAM J. Matrix Anal. Appl. Anne Greenbaum, Zdenek Strakos
1990	A	`conf`	LAPACK: a portable linear algebra library for high-performance computers. SC 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
1989	J	`jnl`	Synchronization costs on multiprocessors. Parallel Comput. Anne Greenbaum
1979	J	`jnl`	Approximating the inverse of a matrix for use in iterative algorithms on vector processors. Computing Paul F. Dubois, Anne Greenbaum, Garry H. Rodrigue