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Alternating sequential-parallel calculation of eigenvalues for symmetric matrices

Alternierend sequentiell-parallele Berechnung der Eigenwerte von symmetrischen Matrizen

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Abstract

An “alternating sequential-parallel” system (ASP) is introduced, and its advantages over other models are discussed. Algorithms of Jacobi, Givens and Householder are modified for execution on this system. Efficiencies are computed for all methods and prove that the proposed methods achieve considerable speedups.

Zusammenfassung

Ein “alternierend sequentiell-paralleles” System (ASP) und dessen Vorteile gegenüber anderen Systemen werden diskutiert. Die Algorithmen von Jacobi, Givens und Householder werden so modifiziert, daß man sie auf diesem System ablaufen lassen kann. Für diese Methoden werden Wirkungsgrade berechnet. Es ergeben sich beachtliche Beschleunigungen.

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Wallach, Y. Alternating sequential-parallel calculation of eigenvalues for symmetric matrices. Computing 28, 1–16 (1982). https://doi.org/10.1007/BF02237991

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