274 citations · 661 across the 37 of their papers we have counts for
39 papers
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…
An Efficient Nonlinear Acceleration method that Exploits Symmetry of the Hessian
Huan He, Shifan Zhao, Ziyuan Tang +3
Nonlinear acceleration methods are powerful techniques to speed up fixed-point iterations. However, many acceleration methods require storing a large number of previous iterates an…
parGeMSLR: A Parallel Multilevel Schur Complement Low-Rank Preconditioning and Solution Package for General Sparse Matrices
Tianshi Xu, Vassilis Kalantzis, Ruipeng Li +3
This paper discusses parGeMSLR, a C++/MPI software library for the solution of sparse systems of linear algebraic equations via preconditioned Krylov subspace methods in distribute…