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

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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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.725-733-1176
Hauptverfasser: Huang, Na, Ma, Changfeng
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Analysis
Inequalities (Mathematics)
Iterative methods
Iterative methods (Mathematics)
Matrices
Optimization
Theory
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/705830