Extended conjugate gradient squared and conjugate residual squared methods for solving the generalized coupled Sylvester tensor equations, By Saeed Karimi

Research

Title	Extended conjugate gradient squared and conjugate residual squared methods for solving the generalized coupled Sylvester tensor equations
Type	Article
Keywords	—
Journal	TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
DOI	—
Researchers	Saeed Karimi (Second researcher)

Abstract

In this paper, two attractive iterative methods – conjugate gradient squared (CGS) and conjugate residual squared (CRS) – are extended to solve the generalized coupled Sylvester tensor equations Pn j=1 Xj 31Aij1 32Aij2:::3dAijd =Ci, i=1, 2, :::, n. The proposed methods use tensor computations with no matricizations involved. Also, some properties of the new methods are presented. Finally, several numerical examples are given to compare the efficiency and performance of the proposed methods with some existing algorithms.