The core inverse and constrained matrix approximation problem

In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse: where . We get the unique solution to the problem, provide two Cramer’s rules for the unique solution and establish two new expressions for the core inverse.

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 18; no. 1; pp. 653 - 661
Main Authors Wang, Hongxing, Zhang, Xiaoyan
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 06.07.2020
De Gruyter Poland
Subjects
15A24
15A29
15A57
Approximation
constrained matrix approximation problem
core inverse
Cramer’s rule
Mathematical analysis
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Summary:In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse: where . We get the unique solution to the problem, provide two Cramer’s rules for the unique solution and establish two new expressions for the core inverse.
Bibliography:ObjectType-Article-1
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2020-0178