Root spreads for polynomials and Hermitian matrix pencils

DOI10.1016/0024-3795(94)00051-EzbMath0824.15013OpenAlexW2059276620MaRDI QIDQ1893099

Robert C. Thompson

Publication date: 15 November 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00051-e

zbMATH Keywords

Hermitian matrixHermitian matrix pencilsroot spreads for polynomialsspreads of the eigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix pencils (15A22)

Related Items (1)

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

Cites Work

• Numerical ranges of principal submatrices
• Eigenvalue inequalities for principal submatrices
• Principal submatrices of normal and Hermitian matrices
• Principal submatrices. VIII: Principal sections of a pair of forms
• The eigenvalue spreads of a hermitian matrix and its principal submatrices
• On Cauchy's Inequalities for Hermitian Matrices
• On the eigenvalues of principal submatrices of normal, hermitian and symmetric matrices
• On the spread of a hermitian matrix and a conjecture of thompson

This page was built for publication: Root spreads for polynomials and Hermitian matrix pencils