A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor:

We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sparse symmetric positive definite matrix. The algorithm is intended for a message-passing multiprocessor system, such as the hypercube, and is based on the concept of elimination forests. In addition, w...

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Bibliographische Detailangaben
Hauptverfasser: Zmijewski, Earl (VerfasserIn), Gilbert, John R. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Ithaca, New York 1986
Schriftenreihe:Cornell University <Ithaca, NY> / Department of Computer Science: Technical report 733
Schlagworte:
Zusammenfassung:We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sparse symmetric positive definite matrix. The algorithm is intended for a message-passing multiprocessor system, such as the hypercube, and is based on the concept of elimination forests. In addition, we provide an algorithm for computing these forests along with a discussion of the algorithm's complexity and a proof of its correctness. We also examine the related issue of load balancing.
Beschreibung:28 S.5

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