The Symmetric and Skew-symmetric Solution of Matrix Equation A~TXA=B on the Linear Manifold
Liu Ding-you
Abstract
Liu Ding-you
Abstract
By applying the canonical correlation decomposition of matrix pairs,we obtain the Symmetric and Skew-symmetric least-squares solution of the matrix equation on linear manifold.At the same time,the necessary and sufficient conditions for the solvability and the general solutions of the problems are presented.
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By applying the canonical correlation decomposition of matrix pairs,we obtain the Symmetric and Skew-symmetric least-squares solution of the matrix equation on linear manifold.At the same time,the necessary and sufficient conditions for the solvability and the general solutions of the problems are presented.
Key concepts: Skew-symmetric matrix, Mathematics, Symmetric matrix, Matrix (chemical analysis), Centrosymmetric matrix, Manifold (fluid mechanics), Mathematical analysis, Skew