A parallel algorithm for sparse symbolic Cholesky factorization on a multiprocessor

doi:10.1016/0167-8191(88)90039-7

Parallel Computing

Volume 7, Issue 2, June 1988, Pages 199-210

https://doi.org/10.1016/0167-8191(88)90039-7 Get rights and content

Abstract

We develop an algorithm for computing the symbolic 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 forest. 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.

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^☆: Publication of this report was partially supported by the National Science Foundation under grant DCR-8451385.

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A parallel algorithm for sparse symbolic Cholesky factorization on a multiprocessor☆

Abstract

Parallel Comput.

Parallel Comput.

Parallel Comput.

The Design and Analysis of Computer Algorithms

A comparison of three resequencing algorithms for the reduction of matrix profile and wave front

Internat. Numer. Methods Engrg.

A survey of interconnection networks

IEEE Comput.

Concurrent computation and the theory of complex systems

Sparse Cholesky factorization on a local-memory multiprocessor

Communucation reduction in parallel sparse Cholesky factorization on a hypercube

Computer Solution of Large Sparse Positive Definite Systems