Elsevier

Applied Mathematics Letters

Volume 98, December 2019, Pages 164-170
Applied Mathematics Letters

Minimum rank Hermitian solution to the matrix approximation problem in the spectral norm and its application

https://doi.org/10.1016/j.aml.2019.06.012Get rights and content
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Abstract

In this paper, we discuss the following minimum rank matrix approximation problem in the spectral norm: minXr(X) subject to ABXB2<1, where A and X are Hermitian matrices. For its application, we also consider the minimum rank matrix approximation problem: minXr(X) subject to ABBX2<1.

Keywords

Matrix approximation
Minimum rank
Hermitian solution

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