Convergence of integration-based methods for the solution of standard and generalized Hermitian eigenvalue problems

DOI10.1553/etna_vol48s183zbMath1398.65062OpenAlexW2808029468WikidataQ129686096 ScholiaQ129686096MaRDI QIDQ1670229

Lukas Krämer, Bruno Lang

Publication date: 5 September 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol48/abstract.php?vol=48&pages=183-201

zbMATH Keywords

trapezoidal ruleRayleigh-Ritzeigenvalue solverFEASTGauß-Legendre rulespectral projection method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Power series (including lacunary series) in one complex variable (30B10) Numerical integration (65D30)

Related Items (1)

Rational Spectral Filters with Optimal Convergence Rate

Uses Software

• eigs
• FEAST
• JDQZ
• IRAM

Cites Work

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• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Numerical Integration of Periodic Functions: A Few Examples
• Numerical Methods for Computing Angles Between Linear Subspaces
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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