scholarly journals Recursive Approach in Sparse Matrix LU Factorization

2001 ◽  
Vol 9 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Jack Dongarra ◽  
Victor Eijkhout ◽  
Piotr Łuszczek

This paper describes a recursive method for the LU factorization of sparse matrices. The recursive formulation of common linear algebra codes has been proven very successful in dense matrix computations. An extension of the recursive technique for sparse matrices is presented. Performance results given here show that the recursive approach may perform comparable to leading software packages for sparse matrix factorization in terms of execution time, memory usage, and error estimates of the solution.

1993 ◽  
Vol 03 (04) ◽  
pp. 419-430 ◽  
Author(s):  
J. MALARD ◽  
C.C. PAIGE

Gossiping is proposed as the preferred communication primitive for replicating pivot data in dense matrix factorization on message passing multicomputer. Performance gains are demonstrated on a hypercube for LU factorization algorithms based on gossiping as opposed to broadcasting. This finding has consequences for the design of numerical software libraries.


2017 ◽  
Author(s):  
Zhiqiang Wang ◽  
Siyuan Cao ◽  
Xiao Pan ◽  
Yongxin Li ◽  
Hongling Chen

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