Filtering Frequencies in a Shift-and-Invert Lanczos Algorithm for the Dynamic Analysis of Structures

DOI10.1137/18M1190045zbMath1420.65052OpenAlexW2893853104MaRDI QIDQ5230604

Françoise Tisseur, Ramaseshan Kannan, Mante Zemaityte

Publication date: 28 August 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1190045

zbMATH Keywords

orthogonal polynomialsstructural analysisshifting strategysymmetric generalized eigenvalue problemshift-and-invert Lanczos algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Uses Software

• JDQR
• JDQZ

Cites Work

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• A critique of mode acceleration and modal truncation augmentation methods for modal response analysis
• Templates for the Solution of Algebraic Eigenvalue Problems
• Uniform accuracy of eigenpairs from a shift‐invert Lanczos method
• Geometry of moment spaces

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