The elimination of Lanczos ghosting effects by MINRES filter diagonalization

DOI10.1006/JCPH.1998.5971zbMath0930.65036OpenAlexW2078838774WikidataQ62683323 ScholiaQ62683323MaRDI QIDQ1287186

Hua-Gen Yu, Sean C. Smith

Publication date: 9 February 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5971

zbMATH Keywords

numerical examplesHermitian matriceseigenvalueseigenvectorsLanczos algorithmfilter diagonalizationelimination of Lanczos ghosting effectsLanczos ghosting effectsLanczos spectrumminimum residual algorithmMorse oscillator problemWyatt test matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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• Matrix pseudo-spectroscopy: Iterative calculation of matrix eigenvalues and eigenvectors of large matrices using a polynomial expansion of the Dirac delta function
• Scalable algorithms for three-dimensional reactive scattering: Evaluation of a new algorithm for obtaining surface functions
• Solution of Sparse Indefinite Systems of Linear Equations
• The Lanczos Algorithm with Selective Orthogonalization

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