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2014 The Generalized Bisymmetric (Bi-Skew-Symmetric) Solutions of a Class of Matrix Equations and Its Least Squares Problem
Yifen Ke, Changfeng Ma
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/239465

Abstract

The solvability conditions and the general expression of the generalized bisymmetric and bi-skew-symmetric solutions of a class of matrix equations (AX=B, XC=D) are established, respectively. If the solvability conditions are not satisfied, the generalized bisymmetric and bi-skew-symmetric least squares solutions of the matrix equations are considered. In addition, two algorithms are provided to compute the generalized bisymmetric and bi-skew-symmetric least squares solutions. Numerical experiments illustrate that the results are reasonable.

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Yifen Ke. Changfeng Ma. "The Generalized Bisymmetric (Bi-Skew-Symmetric) Solutions of a Class of Matrix Equations and Its Least Squares Problem." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/239465

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021977
MathSciNet: MR3186954
Digital Object Identifier: 10.1155/2014/239465

Rights: Copyright © 2014 Hindawi

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