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

Yirong Yao | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Yirong Yao

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/961568

Subject(s) - hermitian matrix , combinatorics , mathematics , path (computing) , matrix (chemical analysis) , function (biology) , quadratic equation , mathematical analysis , pure mathematics , computer science , geometry , chemistry , chromatography , evolutionary biology , biology , programming language

We solve optimization problems on the ranks and inertias of the quadratic Hermitian matrix function subject to a consistent system of matrix equations and . As applications, we derive necessary and sufficient conditions for the solvability to the systems of matrix equations and matrix inequalities , and in the Löwner partial ordering to be feasible, respectively. The findings of this paper widely extend the known results in the literature

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research