The Hermitian solution to a matrix inequality under linear constraint-Reference-Cited by-同舟云学术

The Hermitian solution to a matrix inequality under linear constraint

Published:2024 Issue:8 Volume:9 Page:20163-20172
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Chen Yinlan,Duan Wenting

Abstract

<abstract><p>In this paper, the necessary and sufficient conditions under which the matrix inequality $ C^*XC\geq D\ (>D) $ subject to the linear constraint $ A^*XA = B $ is solvable are deduced by means of the spectral decompositions of some matrices and the generalized singular value decomposition of a matrix pair. An explicit expression of the general Hermitian solution is also provided. One numerical example demonstrates the effectiveness of the proposed method.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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