274 citations · 661 across the 37 of their papers we have counts for
25 papers · 1 filter
Cucheb: A GPU implementation of the filtered Lanczos procedure
Jared L. Aurentz, Vassilis Kalantzis, Yousef Saad
This paper describes the software package Cucheb, a GPU implementation of the filtered Lanczos procedure for the solution of large sparse symmetric eigenvalue problems. The filtere…
Gradient-type subspace iteration methods for the symmetric eigenvalue problem
Foivos Alimisis, Yousef Saad, Bart Vandereycken
This paper explores variants of the subspace iteration algorithm for computing approximate invariant subspaces. The standard subspace iteration approach is revisited and new varian…
NLTGCR: A class of Nonlinear Acceleration Procedures based on Conjugate Residuals
Huan He, Ziyuan Tang, Shifan Zhao +2
This paper develops a new class of nonlinear acceleration algorithms based on extending conjugate residual-type procedures from linear to nonlinear equations. The main algorithm ha…
On the tubular eigenvalues of third-order tensors
Fatemeh P. A. Beik, Yousef Saad
This paper introduces the notion of tubular eigenvalues of third-order tensors with respect to T-products of tensors and analyzes their properties. A focus of the paper is to discu…
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations
Claude Brezinski, Stefano Cipolla, Michela Redivo-Zaglia +1
This paper examines a number of extrapolation and acceleration methods, and introduces a few modifications of the standard Shanks transformation that deal with general sequences. O…
A power Schur complement Low-Rank correction preconditioner for general sparse linear systems
Qingqing Zheng, Yuanzhe Xi, Yousef Saad
An effective power based parallel preconditioner is proposed for general large sparse linear systems. The preconditioner combines a power series expansion method with some low-rank…