Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901659 | Journal of Computational and Applied Mathematics | 2019 | 32 Pages |
Abstract
The Induced Dimension Reduction method (IDR(s)) (Sonneveld and van Gijzen, 2008) is a short-recurrences Krylov method to solve systems of linear equations. In this work, we accelerate this method using spectral information. We construct a Hessenberg relation from the IDR(s) residual recurrences formulas, from which we approximate the eigenvalues and eigenvectors. Using the Ritz values, we propose a self-contained variant of the Ritz-IDR(s) method (Simoncini and Szyld, 2010) for solving a system of linear equations. In addition, the Ritz vectors are used to speed-up IDR(s) for the solution of sequence of systems of linear equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
R. Astudillo, J.M. de Gier, M.B. van Gijzen,