The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C

In this paper, we present two different relaxed gradient based iterative (RGI) algorithms for solving the symmetric and skew symmetric solution of the Sylvester matrix equation AX+XB=C. By using these two iterative methods, it is proved that the iterative solution converges to its true symmetric (sk...

Full description

Bibliographic Details
Main Authors: Xiaodan Zhang, Xingping Sheng
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/1624969