Article ID Journal Published Year Pages File Type
5776371 Journal of Computational and Applied Mathematics 2017 10 Pages PDF
Abstract
In this literature, we study a rank constrained matrix approximation problem in the Frobenius norm: minr(X)=k‖BXB∗−A‖F2, where k is a nonnegative integer, A and X are (skew) Hermitian matrices. By using the singular value decomposition and the spectrum decomposition, we derive some conditions for the existence of (skew) Hermitian solutions, and establish general forms for the (skew) Hermitian solutions to this matrix approximation problem.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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