Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776371 | Journal of Computational and Applied Mathematics | 2017 | 10 Pages |
Abstract
In this literature, we study a rank constrained matrix approximation problem in the Frobenius norm: minr(X)=kâBXBââAâF2, 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
Authors
Xifu Liu, Wen Li, Hongxing Wang,