A Padé-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver

DOI10.1002/nme.2572zbMath1171.74462OpenAlexW2141585469MaRDI QIDQ3399306

Charbel Farhat, Philip Avery, Ulrich Hetmaniuk

Publication date: 12 October 2009

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2572

zbMATH Keywords

Sturm sequenceeigensolverPadémissed eigenvalue

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Uses Software

• ARPACK
• Harwell-Boeing sparse matrix collection

Cites Work

• Unnamed Item
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• A rational Lanczos algorithm for model reduction
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver
• A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems
• ARPACK Users' Guide
• Two-Sided Arnoldi and Nonsymmetric Lanczos Algorithms
• Iterative Validation of Eigensolvers: A Scheme for Improving the Reliability of Hermitian Eigenvalue Solvers
• A fast method for solving acoustic scattering problems in frequency bands