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2006•Journal of Jiangsu University of Science and TechnologyRequires access

Sufficient and Necessary Condition for Matrix Equation AX-X~TB=C

Pingxin Wang

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Abstract

By using the theory of generalized inverse,the matrix equation is changed into the equivalent equations.The sufficient and necessary conditions for the matrix equation to have solution are given.The expression of the general solution of this equation is also derived.

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What this paper is about

By using the theory of generalized inverse,the matrix equation is changed into the equivalent equations.The sufficient and necessary conditions for the matrix equation to have solution are given.The expression of the general solution of this equation is also derived.

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Available abstract

By using the theory of generalized inverse,the matrix equation is changed into the equivalent equations.The sufficient and necessary conditions for the matrix equation to have solution are given.The expression of the general solution of this equation is also derived.

Key concepts: Mathematics, Matrix (chemical analysis), Matrix differential equation, Matrix difference equation, Mathematical analysis, Inverse, Applied mathematics, Partial differential equation

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