The symmetric orthogonal anti-symmetric solutions of matric equation on the linear manifoid
SU Yong-min
Abstract
SU Yong-min
Abstract
By applying the singular value decomposition,the expressions for the least-square solutions,the anti-symmetric orthogonal anti-symmetric matrix,which are the matrix equation on the linear manifoid are established.In addition,the optimal approximation to a given matrix is presented.
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By applying the singular value decomposition,the expressions for the least-square solutions,the anti-symmetric orthogonal anti-symmetric matrix,which are the matrix equation on the linear manifoid are established.In addition,the optimal approximation to a given matrix is presented.
Key concepts: Mathematics, Symmetric matrix, Orthogonal matrix, Matrix (chemical analysis), Singular value decomposition, Mathematical analysis, Square matrix, Applied mathematics