International Journal of Computer Mathematics · 1984 · 17 citations · 6 references
ComputingComputer EngineeringComputer ScienceAlgorithmsParallel AlgorithmsParallel ComputingMatrix ComputationNumerical Linear AlgebraParallel Algorithm DesignParallel ArchitecturesParallel Numerical Linear AlgebraParallel Numerical MethodsEigenvalue AlgorithmsEigenvalue ComputationParallel Eigenvalue ComputationParallel Linear SolversParallel Matrix AlgorithmsParallel Matrix ComputationParallel Matrix FactorizationParallel Matrix Inversion
Two algorithms for the eigensolution of real symmetric matrices [8] are discussed. The first is a variant of the classical Jacobi method and the second is also based on orthogonal transforms. Both algorithms may be readily expressed in forms which allow the power of SIMD (single instruction multiple data) machines to be exploited. The performances of the algorithms on the ICL DAP (distributed array processor) and the CRAY-1 are compared.
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Richard M. Russell · Communications of the ACM · 1978 · 697 citations · Full text
A Survey of Parallel Algorithms in Numerical Linear Algebra
Don Heller · SIAM Review · 1978 · 339 citations · Full text
A Survey of Parallelism in Numerical Analysis
W. L. Miranker · SIAM Review · 1971 · 95 citations