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2014 Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations
Yong Lin, Qing-Wen Wang
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/352327

Abstract

Two efficient iterative algorithms are presented to solve a system of matrix equations A1X1B1 + A2X2B2 =E, C1X1D1 + C2X2D2 =F over generalized reflexive and generalized antireflexive matrices. By the algorithms, the least norm generalized reflexive (antireflexive) solutions and the unique optimal approximation generalized reflexive (antireflexive) solutions to the system can be obtained, too. For any initial value, it is proved that the iterative solutions obtained by the proposed algorithms converge to their true values. The given numerical examples demonstrate that the iterative algorithms are efficient.

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Yong Lin. Qing-Wen Wang. "Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/352327

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010609
MathSciNet: MR3176816
Digital Object Identifier: 10.1155/2014/352327

Rights: Copyright © 2014 Hindawi

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