Minimal residual Hermitian and skew-Hermitian splitting iteration method for the continuous Sylvester equation
Numerical Analysis
2020-12-02 v1 Numerical Analysis
Abstract
By applying the minimal residual technique to the Hermitian and skew-Hermitian (HSS) iteration scheme, we introduce a non-stationary iteration method named minimal residual Hermitian and skew-Hermitian (MRHSS) iteration method to solve the continuous Sylvester equation. Numerical results verify the effectiveness and robustness of the MRHSS iteration method versus the HSS method for the continuous Sylvester equation. Moreover, by numerical computation, we show that the MRHSS splitting can be used as a splitting preconditioner and induce accurate, robust and effective preconditioned Krylov subspace iteration methods for solving the continuous Sylvester equation.
Keywords
Cite
@article{arxiv.2012.00310,
title = {Minimal residual Hermitian and skew-Hermitian splitting iteration method for the continuous Sylvester equation},
author = {Zeinab Bahramizadeh and Mojtaba Nazari and Mohammad Khorsand Zak and Zahra Yarahmadi},
journal= {arXiv preprint arXiv:2012.00310},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2005.08123