2007•jOURNAL OF southwest University for NationalitiesRequires access

Least-squares solutions for symmetric orthogonal anti-symmetric matrices of matrix equation on the linear manifold

Wei Wang

Abstract

By applying the canonical correlation decomposition of matrix pairs, this paper discusses the least-squares solutions of matrix equation BTXB=D for symmetric orthogonal anti-symmetric matrices on the linear manifold. The general expression of the least-squares solution Set is given.

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Key concepts: Mathematics, Symmetric matrix, Orthogonal matrix, Matrix (chemical analysis), Linear least squares, Least-squares function approximation, Total least squares, Centrosymmetric matrix