A refinement method for maximal deflating bases of regular pencils

DOI10.1016/0168-9274(94)00002-6zbMath0810.65033OpenAlexW2095128758MaRDI QIDQ1330474

Mario Ahues, Kwami Attoh

Publication date: 9 April 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00002-6

zbMATH Keywords

inexact Newton methodsgeneralized eigenvaluesregular matrix pencilmaximal deflating basismaximal deflating subspacenatural frequencies of a girderright-Lanczos method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

• Sharp error bounds for Newton's process
• The solution of characteristic value-vector problems by Newton's method
• Refinement Methods of Newton Type for Approximate Eigenelements of Integral Operators
• Solving Sparse Symmetric Generalized Eigenvalue Problems without Factorization
• Non‐linear optimization technique for partial solution of generalized eigenvalue problems
• Algorithms for the Nonlinear Eigenvalue Problem
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