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2007.228: Parallel implementation of a symmetric eigensolver based on the Yau and Lu method

2007.228: Stéphane Domas and Françoise Tisseur (1997) Parallel implementation of a symmetric eigensolver based on the Yau and Lu method. In: Lecture Notes in Computer Science. Lecture Notes in Computer Science, 1215. Springer Berlin / Heidelberg, Berlin, pp. 140-153. ISBN 978-3-540-62828-6

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Official URL: http://www.springerlink.com/content/4850p6034771358h/

Abstract

In this paper, we present preliminary results on a complete eigensolver based on the Yau and Lu method. We first give an overview of this invariant subspace decomposition method for dense symmetric matrices followed by numerical results and work in progress of a distributed-memory implementation. We expect that the algorithm's heavy reliance on matrix-matrix multiplication, coupled with FFT should yield a highly parallelizable algorithm. We present performance results for the dominant computation kernel on the Intel Paragon.

Item Type:Book Section
Subjects:MSC 2000 > 15 Linear and multilinear algebra; matrix theory
MSC 2000 > 65 Numerical analysis
MIMS number:2007.228
Deposited By:Ms Helen Kirkbright
Deposited On:05 December 2007

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