Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...
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LU Matrix Factorization
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ABSTRACT: The current paper is mainly devoted to construct a generalized symbolic Thomas algorithm that will never fail. Two new efficient and reliable computational algorithms are given. The ...
Sparse matrixes of the kind I am working with come from the finite element assembly, and are approaching 1M x 1M, so dense methods are just not feasible. I'm also pushing the limits of the single ...
We introduce a new parallel algorithm for solving sparse LU factorization of planar matrices, which commonly arise in the finite element method for 2D PDEs. Existing scalable methods, such as the ...
Abstract: The LU decomposition is an essential element used in many linear algebra applications. Furthermore, it is used in LINPACK to benchmark the performance of modern multi-core processor ...
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