On Lu Factorization Algorithm With Multipliers

LU-AD1 Factorization Algorithm

CALU: A Communication Optimal LU Factorization Algorithm

Since the cost of communication (moving data) greatly exceeds the cost of doing arithmetic on current and future computing platforms, we are motivated to devise algorithms that communicate as little as possible, even if they do slightly more arithmetic, and as long as they still get the right answer. This paper is about getting the right answer for such an algorithm. It discusses CALU, a commun...

The Gauss-Huard algorithm and LU factorization

In this paper we analyze the Gauss-Huard algorithm. From a description of the algorithm in terms of matrix-vector operations we reveal a close relation between the Gauss-Huard algorithm and an LU factorization as constructed in an ikj variant.

Lu Factorization on Parallel Computers

Abstract-A new parallel algorithm for the LU factorization of a given dense matrix A is described. The case of banded matrices is also considered. This algorithm can be combined with Sameh and Brent’s [SIAM J. Numer. Anal. 14, 1101-I 113. (1977)] to obtain the solution of a linear system of algebraic equations. The arithmetic complexity for the dense case is in’ ($bn in the banded case), using ...

Parallelizing LU Factorization

Systems of linear equations can be represented by matrix equations of the form A~x = ~b. LU Factorization is a method for solving systems in this form by transforming the matrix A into a form that makes backwards and forward susbstitution feasible. A common algorithm for LU factorization is Gaussian elimination, which I used for my serial and parallel implementations. I investigated using async...