Variational principles for indefinite eigenvalue problems

DOI10.1016/0024-3795(93)00187-5zbMath0821.15005OpenAlexW2094148697MaRDI QIDQ1805208

Qiang Ye, Paul A. Binding

Publication date: 28 September 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(93)00187-5

zbMATH Keywords

algorithmvariational principlescomplex Hermitian matricesindefinite eigenvalue problemsselfadjoint generalized eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (10)

Extensions of Wielandt’s min–max principles for positive semi-definite pencils ⋮ Wielandt and Ky-Fan theorem for matrix pairs. ⋮ Trace minimization principles for positive semi-definite pencils ⋮ Linear pencils and quadratic programming problems with a quadratic constraint ⋮ Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions ⋮ A variational principle for eigenvalues of pencils of Hermitian matrices ⋮ Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function ⋮ Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function ⋮ Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

Cites Work

• Matrices and indefinite scalar products
• Methods of intermediate problems for eigenvalues. Theory and ramifications
• A minimax characterization for eigenvalues of Hermitian pencils
• Variational Principles without Definiteness Conditions
• A Variational Principle in Krein Space
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