A minimax characterization for eigenvalues of Hermitian pencils

DOI10.1016/0024-3795(91)90071-4zbMath0721.15009OpenAlexW4205969831MaRDI QIDQ2640671

Qiang Ye, Branko Najman

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90071-4

zbMATH Keywords

canonical formHermitian matrix pencilminimax characterizationpositive or negative eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix pencils (15A22)

Related Items (8)

Extensions of Wielandt’s min–max principles for positive semi-definite pencils ⋮ Trace minimization principles for positive semi-definite pencils ⋮ Linear pencils and quadratic programming problems with a quadratic constraint ⋮ A variational principle for eigenvalues of pencils of Hermitian matrices ⋮ Some General Local Variational Principles ⋮ Variational principles for indefinite eigenvalue problems ⋮ Singular numbers of contractions in spaces with an indefinite metric and Yamamoto's theorem ⋮ A minimax characterization for eigenvalues of Hermitian pencils. II

Cites Work

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• Matrices and indefinite scalar products
• Perturbation bounds for the definite generalized eigenvalue problem
• Some variational principles for a nonlinear eigenvalue problem
• A minimax theory for overdamped systems
• Variational Principles without Definiteness Conditions
• Minimaxprinzipe zur Bestimmung der Eigenwerte $J$-nichtnegativer Operatoren.

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