2006•Unpublished venueRequires access

An Iterative Method for the Least Squares Anti-symmetricsolution of Matrix Equations

Wang Wei

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Abstract

An iterative method is presented to find centroskew symmetric solution of the matrix equations AX+XB=D,the method is used not only to determine the solvability over centroskew symmetric solution,but also to calculate centroskew symmetric solution.The solution with least norm can be obtained by choosing a special kind of initial anti-symmetric matrix.Finally,its optimal approximation solution tao a given matrix can be derived.

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What this paper is about

An iterative method is presented to find centroskew symmetric solution of the matrix equations AX+XB=D,the method is used not only to determine the solvability over centroskew symmetric solution,but also to calculate centroskew symmetric solution.The solution with least norm can be obtained by choosing a special kind of initial anti-symmetric matrix.Finally,its optimal approximation solution tao a given matrix can be derived.

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Available abstract

An iterative method is presented to find centroskew symmetric solution of the matrix equations AX+XB=D,the method is used not only to determine the solvability over centroskew symmetric solution,but also to calculate centroskew symmetric solution.The solution with least norm can be obtained by choosing a special kind of initial anti-symmetric matrix.Finally,its optimal approximation solution tao a given matrix can be derived.

Key concepts: Mathematics, Matrix splitting, Iterative method, Symmetric matrix, Matrix (chemical analysis), Applied mathematics, Matrix-free methods, Mathematical analysis

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