Title
A Sparse Matrix Library With Automatic Selection Of Iterative Solvers And Preconditioners
Abstract
Many iterative solvers and preconditioners have recently been proposed for linear iterative matrix libraries. Currently, library users have to manually select the solvers and preconditioners to solve their target matrix. However, if they select the wrong combination of the two, they have to spend a lot of time on calculations or they cannot obtain the solution. Therefore, an approach for the automatic selection of solvers and preconditioners is needed. We have developed a function that automatically selects an effective solver/preconditioner combination by referencing the history of relative residuals at run-time to predict whether the solver will converge or stagnate. Numerical evaluation with 50 Florida matrices showed that the proposed function can select effective combinations in all matrices. This suggests that our function can play a significant role in sparse iterative matrix computations. (C) 2013 The Authors. Published by Elsevier B.V. and peer review under responsibility of the organizers of the 2013 International Conference on Computational Science
Year
DOI
Venue
2013
10.1016/j.procs.2013.05.300
2013 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE
Keywords
Field
DocType
Auto-tuning, linear problem, sparse matrix, iterative solver, preconditioner
Linear problem,Mathematical optimization,Preconditioner,Computer science,Matrix (mathematics),Computational science,Solver,Auto tuning,Sparse matrix,Computation
Conference
Volume
ISSN
Citations 
18
1877-0509
0
PageRank 
References 
Authors
0.34
6
6
Name
Order
Citations
PageRank
Takao Sakurai120.77
Takahiro Katagiri212117.01
Hisayasu Kuroda3104.97
Ken Naono485.74
Mitsuyoshi Igai521.44
Satoshi Ohshima6538.47