Note on the ill-conditioned eigenvalue problem in elastic vibrations

DOI10.1016/0045-7825(75)90016-XzbMath0303.70030OpenAlexW2034340176MaRDI QIDQ1216196

G. Frik, Th. Lunde Johnsen

Publication date: 1975

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(75)90016-x

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Composite and mixture properties (74E30) Iterative numerical methods for linear systems (65F10) Linear vibration theory (70J99)

Related Items (1)

Rustishauser's modified method for computing the eigenvalues of symmetric matrices

Cites Work

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• The natural factor formulation of the stiffness for the matrix displacement method
• On numerical error in the finite element method
• On systems of linear equations of the form \(A^tAx=b\); error analysis and certain consequences for structural applications
• Matrix displacement analysis of shells and plates including transverse shear strain effects
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• Matrix displacement analysis of plates and shells
• An Algorithm for the Ill-Conditioned Generalized Eigenvalue Problem
• The Solution of Large Symmetric Eigenproblems by Sectioning

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