The symmetric tridigonal eigenproblem on a shared memory multiprocessor. I

DOI10.1016/j.amc.2003.07.009zbMath1057.65017OpenAlexW1978099176MaRDI QIDQ1886567

Doǧan Kaya

Publication date: 18 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.07.009

zbMATH Keywords

parallel computationobject-oriented programming languagedivide-and-conquer methodsymmetric tridiagonal eigenproblemC++ programming languageCuppen's method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Parallel numerical computation (65Y05) Packaged methods for numerical algorithms (65Y15)

Cites Work

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• A Divide and Conquer method for the symmetric tridiagonal eigenproblem
• Rank-one modification of the symmetric eigenproblem
• An $O(N^2 )$ Method for Computing the Eigensystem of $N \times N$ Symmetric Tridiagonal Matrices by the Divide and Conquer Approach
• A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
• On the Orthogonality of Eigenvectors Computed by Divide-and-Conquer Techniques
• Some Modified Matrix Eigenvalue Problems

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