Eric Hallman

Mathematics

Works (3)

2022 journal article

A BLOCK BIDIAGONALIZATION METHOD FOR FIXED-ACCURACY LOW-RANK MATRIX APPROXIMATION

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 43(2), 661–680.

By: E. Hallman

author keywords: block Lanczos; randomized algorithm; low-rank matrix approximation; fixed-accuracy problem
Source: Web Of Science
Added: January 23, 2023

2022 journal article

A multilevel approach to stochastic trace estimation

LINEAR ALGEBRA AND ITS APPLICATIONS, 638, 125–149.

By: E. Hallman & D. Troester

author keywords: Spectral function; Trace estimation; Chebyshev approximation; Hutchinson's trace estimator; Multilevel Monte Carlo
Source: Web Of Science
Added: May 2, 2022

2020 journal article

SHARP 2-NORM ERROR BOUNDS FOR LSQR AND THE CONJUGATE GRADIENT METHOD

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 41(3), 1183–1207.

By: E. Hallman

author keywords: LSQR; least-squares problem; sparse matrix; Krylov subspace method; Golub-Kahan process; conjugate gradient method; stopping criteria; iterative method
Source: Web Of Science
Added: October 26, 2020