Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors
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Publication:624568
DOI10.1016/j.jmaa.2010.09.038zbMath1217.15015OpenAlexW2061786690MaRDI QIDQ624568
Publication date: 9 February 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.038
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix pencils (15A22)
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Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions ⋮ Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications ⋮ Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors ⋮ A New Expression of the Hermitian Solutions to a System of Matrix Equations with Applications ⋮ On relationships between two linear subspaces and two orthogonal projectors
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