Consider the computation of a simple eigenvalue and cor-responding eigenvector of a large sparse Hermitian positive definite matrix using either inexact inverse iteration with a fixed or Rayleigh quotient shift
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/17...
AbstractGiven approximate eigenvector matrix Ũ of a Hermitian nonsingular matrix H, the spectral de...
1In this paper, we study a class of tuned preconditioners that will be designed to accelerate both t...
Abstract. We propose a Preconditioned Locally Harmonic Residual (PLHR) method for com-puting several...
AbstractWe incorporate our recent preconditioning techniques into the classical inverse power (Rayle...
Given an n x n symmetric positive definite (SPD) matrix A and an SPD preconditioner P we propose a ...
We incorporate our recent preconditioning techniques into the classical inverse power (Rayleigh quot...
A preconditioned simultaneous iteration method is described for the solution of the generalized eige...
Abstract. Rayleigh Quotient iteration is an iterative method with some attractive convergence proper...
2In this paper, we present preconditioning techniques to accelerate the convergence of Krylov solve...
2Given an n × n symmetric positive definite (SPD) matrix A and an SPD preconditioner P, we propose a...
In a recent companion paper, we proposed two methods, GD+k and JDQMR, as nearly optimal methods for ...
Abstract. The aim of this paper is to provide a convergence analysis for a preconditioned subspace i...
Preconditioned gradient iterations for large and sparse Hermitian generalized eigenvalue problems Ax...
Rayleigh Quotient iteration is an iterative method with some attractive convergence properties for n...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/17...
AbstractGiven approximate eigenvector matrix Ũ of a Hermitian nonsingular matrix H, the spectral de...
1In this paper, we study a class of tuned preconditioners that will be designed to accelerate both t...
Abstract. We propose a Preconditioned Locally Harmonic Residual (PLHR) method for com-puting several...
AbstractWe incorporate our recent preconditioning techniques into the classical inverse power (Rayle...
Given an n x n symmetric positive definite (SPD) matrix A and an SPD preconditioner P we propose a ...
We incorporate our recent preconditioning techniques into the classical inverse power (Rayleigh quot...
A preconditioned simultaneous iteration method is described for the solution of the generalized eige...
Abstract. Rayleigh Quotient iteration is an iterative method with some attractive convergence proper...
2In this paper, we present preconditioning techniques to accelerate the convergence of Krylov solve...
2Given an n × n symmetric positive definite (SPD) matrix A and an SPD preconditioner P, we propose a...
In a recent companion paper, we proposed two methods, GD+k and JDQMR, as nearly optimal methods for ...
Abstract. The aim of this paper is to provide a convergence analysis for a preconditioned subspace i...
Preconditioned gradient iterations for large and sparse Hermitian generalized eigenvalue problems Ax...
Rayleigh Quotient iteration is an iterative method with some attractive convergence properties for n...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/17...
AbstractGiven approximate eigenvector matrix Ũ of a Hermitian nonsingular matrix H, the spectral de...
1In this paper, we study a class of tuned preconditioners that will be designed to accelerate both t...