The Iteration Solution of Matrix Equation AXB = C Subject to a Linear Matrix Inequality Constraint

We propose a feasible and effective iteration method to find solutions to the matrix equation AXB=C subject to a matrix inequality constraint DXE≥F, where DXE≥F means that the matrix DXE-F is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustr...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2014; no. 2014; pp. 725 - 733-1176
Main Authors Huang, Na, Ma, Changfeng
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Analysis
Inequalities (Mathematics)
Iterative methods
Iterative methods (Mathematics)
Matrices
Optimization
Theory
United States
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Summary:We propose a feasible and effective iteration method to find solutions to the matrix equation AXB=C subject to a matrix inequality constraint DXE≥F, where DXE≥F means that the matrix DXE-F is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustrate the applicability of the method.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/705830