Parallel sparse LU decomposition on a mesh network of transputers
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Data Structures and Algorithms
Data Structures and Algorithms
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization
IEEE Transactions on Parallel and Distributed Systems
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A number of techniques for the direct solution of large systems of linear equations have been developed. Some of them are widely known and used for non-sparse systems of linear equations: LU decomposition and Cholesky decomposition. On the other hand, for sparse matrices, there are different types of algorithms, which decompose a system of linear equations into a number of subsets of the system. However, in the past there is no discussion for algorithms to decompose a large system of linear equations. In this article, we propose an efficient decomposition algorithm to optimize total operation costs using graph theory.