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• W2120707918 startingPage "1027" @default.
• W2120707918 abstract "A complex square matrix A is called an orthogonal projector if A 2 = A = A*, where A* is the conjugate transpose of A. In this article, we first give some formulas for calculating the distributions of real eigenvalues of a linear combination of two orthogonal projectors. Then, we establish various expansion formulas for calculating the inertias, ranks and signatures of some 2 × 2 and 3 × 3, as well as k × k block Hermitian matrices consisting of two orthogonal projectors. Many applications of the formulas are presented in characterizing interval distributions of numbers of eigenvalues, and nonsingularity of these block Hermitian matrices. In addition, necessary and sufficient conditions are given for various equalities and inequalities of these block Hermitian matrices to hold." @default.
• W2120707918 created "2016-06-24" @default.
• W2120707918 creator A5060002817 @default.
• W2120707918 creator A5076561691 @default.
• W2120707918 date "2012-09-01" @default.
• W2120707918 modified "2023-09-27" @default.
• W2120707918 title "Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors" @default.
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• W2120707918 doi "https://doi.org/10.1080/03081087.2011.631922" @default.
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