A quantitative formulation of Sylvester's law of inertia. III

DOI10.1016/0024-3795(86)90282-XzbMath0601.15013MaRDI QIDQ1080919

Jerome Dancis

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesHermitian matrixSylvester's law of inertia

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (8)

A restricted signature normal form for Hermitian matrices, quasi-spectral decompositions, and applications ⋮ Restricted quadratic forms, inertia theorems, and the Schur complement ⋮ Copositive matrices and Simpson's paradox ⋮ Quadratic Matrix Inequalities with Applications to Data-Based Control ⋮ Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications ⋮ On the internal signature and minimal electric network realizations of reciprocal behaviors ⋮ Determining subspaces on which a matrix is nonnegative definite ⋮ New proofs and extensions of Sylvester’s and Johnson’s inertia theorems to non-Hermitian matrices

Cites Work

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• On Ostrowski's generalization of Sylvester's law of inertia
• The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices
• Inertial properties of eigenvalues
• A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA
• A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA, II
• Multilinear Algebra
• Eigenvalues of sums of Hermitian matrices .III.

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