Extensions of Wielandt’s min–max principles for positive semi-definite pencils
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Publication:2926003
DOI10.1080/03081087.2013.803242zbMath1307.15015OpenAlexW2040851341MaRDI QIDQ2926003
Publication date: 29 October 2014
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2013.803242
eigenvaluetrace minimization principleCourant-Fischer min-max principlepositive semi-definite Hermitian matrix penciltrace min-max formulasWielandt's min-max principle
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)
Related Items (5)
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods ⋮ THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM ⋮ On generalizing trace minimization principles. II ⋮ Perturbation bounds for stable gyroscopic systems ⋮ Singular value inequalities of matrix sum in log-majorizations
Cites Work
- Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
- A minimax characterization for eigenvalues of Hermitian pencils. II
- Wielandt and Ky-Fan theorem for matrix pairs.
- Variational principles for indefinite eigenvalue problems
- Trace minimization and definiteness of symmetric pencils
- Trace minimization principles for positive semi-definite pencils
- A variational principle for eigenvalues of pencils of Hermitian matrices
- A minimax characterization for eigenvalues of Hermitian pencils
- Minimaxprinzipe zur Bestimmung der Eigenwerte $J$-nichtnegativer Operatoren.
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