Abstract and Applied Analysis

The Iteration Solution of Matrix Equation A X B = C Subject to a Linear Matrix Inequality Constraint

Na Huang and Changfeng Ma

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Abstract

We propose a feasible and effective iteration method to find solutions to the matrix equation A X B = C subject to a matrix inequality constraint D X E F , where D X E F means that the matrix D X E - F is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustrate the applicability of the method.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 705830, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277173

Digital Object Identifier
doi:10.1155/2014/705830

Mathematical Reviews number (MathSciNet)
MR3256256

Zentralblatt MATH identifier
07022914

Citation

Huang, Na; Ma, Changfeng. The Iteration Solution of Matrix Equation $AXB=C$ Subject to a Linear Matrix Inequality Constraint. Abstr. Appl. Anal. 2014 (2014), Article ID 705830, 9 pages. doi:10.1155/2014/705830. https://projecteuclid.org/euclid.aaa/1412277173


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