Fast eigensolver for dense real-symmetric matrices

DOI10.1016/S0010-4655(01)00215-6zbMath0984.65035OpenAlexW2005298912MaRDI QIDQ5944598

Carlos F. Bunge

Publication date: 14 May 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(01)00215-6

zbMATH Keywords

eigenvalueeigenproblemnumerical exampleseigenvectorbenchmarkLAPACK routinesreal symmetric matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Packaged methods for numerical algorithms (65Y15)

Uses Software

• LAPACK
• EISPACK
• MOPAC
• HQRII1

Cites Work

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• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• The QR and QL algorithms for symmetric matrices
• Algorithm 656: an extended set of basic linear algebra subprograms: model implementation and test programs
• LAPACK Users' Guide
• HQRII: A fast diagonalization subroutine
• Toward an Efficient Parallel Eigensolver for Dense Symmetric Matrices
• Stability of block algorithms with fast level-3 BLAS

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