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Your search keyword '"Hermitian matrix"' showing total 2 results
2 results on '"Hermitian matrix"'

1. Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors

Author

Tian, Yongge

Subjects
*HERMITIAN operators, *MATHEMATICAL formulas, *POLYNOMIALS, *MATRIX pencils, *MATHEMATICAL inequalities, *ORTHOGRAPHIC projection
Abstract

Abstract: This paper gives a group of expansion formulas for the inertias of Hermitian matrix polynomials , and through some congruence transformations for block matrices, where A is a Hermitian matrix. Then, the paper derives various expansion formulas for the ranks and inertias of some matrix pencils generated from two or three orthogonal projectors and Hermitian unitary matrices. As applications, the paper establishes necessary and sufficient conditions for many matrix equalities to hold, as well as many inequalities in the Löwner partial ordering to hold. [Copyright &y& Elsevier]

Published
2011
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2. A note on adjacency preservers on hermitian matrices over finite fields

Author

Orel, M.

Subjects
*SELFADJOINT operators, *HERMITIAN operators, *MATRICES (Mathematics), *FINITE fields, *MATHEMATICAL analysis
Abstract

Abstract: It is shown that any map which preserves adjacency on hermitian matrices over a finite field is necessary bijective and hence of the standard form. [Copyright &y& Elsevier]

Published
2009
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