2009Unpublished venueRequires access

The Symmetric and Sub-Anti-Symmetric Solutions of the Linear Matrix Equation on some Linear Manifolds

AI Guo-rong

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Abstract

By applying the generalized singular value decomposition of matrices,this paper provides the necessary and sufficient conditions for the existence and the expression of the symmetric and sub-anti-symmetric solutions of the linear matrix equation on some linear manifolds.In addition,the expression of the optimal approximation solution to the given matrix is derived.

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What this paper is about

By applying the generalized singular value decomposition of matrices,this paper provides the necessary and sufficient conditions for the existence and the expression of the symmetric and sub-anti-symmetric solutions of the linear matrix equation on some linear manifolds.In addition,the expression of the optimal approximation solution to the given matrix is derived.

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Available abstract

By applying the generalized singular value decomposition of matrices,this paper provides the necessary and sufficient conditions for the existence and the expression of the symmetric and sub-anti-symmetric solutions of the linear matrix equation on some linear manifolds.In addition,the expression of the optimal approximation solution to the given matrix is derived.

Key concepts: Mathematics, Symmetric matrix, Matrix (chemical analysis), Singular value decomposition, Expression (computer science), Mathematical analysis, Applied mathematics, Pure mathematics

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