Efficient transformation of certain singular polynomial matrix eigenvalue problems

DOI10.1016/0021-9991(88)90052-6zbMath0665.15009OpenAlexW2005776566MaRDI QIDQ1115935

Arne J. Pearlstein, Dimitrios A. Goussis

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90052-6

zbMATH Keywords

characteristic polynomialFrobenius like linear pencilpolynomial matrix pencil

Mathematics Subject Classification ID

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

Related Items (5)

Linear temporal and spatio-temporal stability analysis of a binary liquid film flowing down an inclined uniformly heated plate ⋮ Closed form solution for localized modes on a polymer chain with a defect ⋮ Surface wave and thermocapillary instabilities in a liquid film flow ⋮ Uni-modal destabilization of a viscoelastic floating ice layer by wind stress ⋮ Removal of infinite eigenvalues in the generalized matrix eigenvalue problem

Uses Software

• EISPACK

Cites Work

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• Differential eigenvalue problems in which the parameter appears nonlinearly
• Matrix eigensystem routines. EISPACK guide extension
• Effects of viscosity variation on the stability of film flow down heated or cooled inclined surfaces: Long-wavelength analysis
• Instability of multi-layered liquid films
• Stability of a Non-Newtonian Liquid Film Flowing down an Inclined Plane
• An Algorithm for Generalized Matrix Eigenvalue Problems
• Algorithms for the Nonlinear Eigenvalue Problem

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