Two parameter eigenvalue problems for matrices

DOI10.1016/0024-3795(89)90293-0zbMath0665.15008OpenAlexW2016519641MaRDI QIDQ1115934

Patrick J. Browne, Paul A. Binding

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90293-0

zbMATH Keywords

finite dimensional Hilbert spacetwo-parameter eigenvalue problemalgebraic and geometric eigenspacesHermitian linear operators

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Related Items (10)

Solving two-parameter eigenvalue problems using an alternating method ⋮ Eigencircles and associated surfaces ⋮ Finite-dimensional multiparameter spectral theory: The nonderogatory case ⋮ Perturbation and local analysis of uniformly elliptic two-parameter Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ An algebraic approach to multiparameter spectral theory ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ Geometric aspects of multiparameter spectral theory ⋮ Spectral analysis of coupled linear complementarity problems ⋮ Numerical methods for solving multiparameter eigenvalue problems ⋮ Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Indicial equivalents of multiparameter definiteness conditions in finite dimensions
• Multiparameter root vectors
• Spectral properties of two parameter eigenvalue problems II
• Applications of two parameter spectral theory to symmetric generalised eigenvalue problems
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