The Optimization on Ranks and Inertias of a Quadratic Hermitian Matrix Function and Its Applications

Yirong Yao

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We solve optimization problems on the ranks and inertias of the quadratic Hermitian matrix function Q − XPX* subject to a consistent system of matrix equations AX = C and XB = D. As applications, we derive necessary and sufficient conditions for the solvability to the systems of matrix equations and matrix inequalities AX = C, XB = D, and XPX* = (>,

Date: 2013
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https://doi.org/10.1155/2013/961568

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:961568

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