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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/10649105 Title: The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays Author: R P Brent; Franklin T Luk; Mathematical Sciences Research Centre; Australian National University. Centre for Mathematical Analysis; Cornell University. Department of Computer Science Publisher: Ithaca, NY : Cornell University, 1983. OCLC:10649105

  
  

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The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays

Author:	R P Brent; Franklin T Luk; Mathematical Sciences Research Centre.; Australian National University. Centre for Mathematical Analysis.; Cornell University. Department of Computer Science.
Publisher:	Ithaca, NY : Cornell University, 1983.
Edition/Format:	Book : EnglishView all editions and formats
Summary:	Parallel Jacobi-like algorithms are presented for computing a singular-value decomposition of an $mxn$ matrix $(m \geq n)$ and an eigenvalue decomposition of an $n x n$ symmetric matrix. A linear array of $O(n)$ processors is proposed for the singular-value problem and the associated algorithm requires time $O(mnS)$, where $S$ is the number of sweeps (typically $S \leq 10)$. A square array of $O(n[superscript]{2})$ processors with nearest-neighbor communication is proposed for the eigenvalue problem; the associated algorithm requires time $O(nS)$. Key Words And Phrases: Multiprocessor arrays, systolic arrays, singular-value decomposition, eigenvalue decomposition, real symmetric matrices, Hestenes method, Jacobi method, VLSI, real-time computation, parallel algorithms.  Read more...
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