A new generalization of the Hermitian and skew-Hermitian splitting method for solving the continuous Sylvester equation-Reference-Cited by-同舟云学术

A new generalization of the Hermitian and skew-Hermitian splitting method for solving the continuous Sylvester equation

Published:2016-07-20 Issue:1 Volume:40 Page:303-317
ISSN:0142-3312
Container-title:Transactions of the Institute of Measurement and Control
language:en
Short-container-title:Transactions of the Institute of Measurement and Control

Author:

Khojasteh Salkuyeh Davod¹,Bastani Mehdi²

Affiliation:

1. Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran

Abstract

The two-parameter generalized Hermitian and skew-Hermitian splitting (TGHSS) iteration method is applied to solve the continuous Sylvester equation [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text]. The matrix-vector form of the equation is considered to present convergence properties of the TGHSS method. Some numerical examples are given to show the effectiveness and accuracy of the method. Comparison with other methods is also included.

Publisher

SAGE Publications

Subject

Instrumentation

Link

http://journals.sagepub.com/doi/pdf/10.1177/0142331216656759

Reference44 articles.

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5. On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations

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