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On Jacobi and Jacobi-Like Algorithms for a Parallel Computer

Ahmed H. Sameh
Mathematics of Computation
Vol. 25, No. 115 (Jul., 1971), pp. 579-590
DOI: 10.2307/2005221
Stable URL: http://www.jstor.org/stable/2005221
Page Count: 12
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On Jacobi and Jacobi-Like Algorithms for a Parallel Computer
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Abstract

Many existing algorithms for obtaining the eigenvalues and eigenvectors of matrices would make poor use of such a powerful parallel computer as the ILLIAC IV. In this paper, Jacobi's algorithm for real symmetric or complex Hermitian matrices, and a Jacobi-like algorithm for real nonsymmetric matrices developed by P. J. Eberlein, are modified so as to achieve maximum efficiency for the parallel computations.

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