Solvability of the matrix inequality

In this paper, we first investigate the matrix equation in a new fashion, where A, B, C, D and G are arbitrary matrices. Then, we establish some necessary and sufficient conditions for the existence of a solution of , where A, B are arbitrary matrices and C is a Hermitian matrix. In the special case...

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Bibliographic Details
Published in:Linear & multilinear algebra 2018-09, Vol.66 (9), p.1799-1818
Main Authors: Vosough, Mehdi, Moslehian, Mohammad Sal
Format: Article
Language:English
Subjects:
Economic models
generalized inverse
Löwner partial ordering
Matrix equation
matrix inequality
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Summary:In this paper, we first investigate the matrix equation in a new fashion, where A, B, C, D and G are arbitrary matrices. Then, we establish some necessary and sufficient conditions for the existence of a solution of , where A, B are arbitrary matrices and C is a Hermitian matrix. In the special case when , we determine the general solution of , where A is an arbitrary matrix and C is a Hermitian matrix.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2017.1373731