- 대형비대칭 이산행렬의 CRAY-T3E에서의 해법을 위한 확장가능한 병렬준비행렬
- ㆍ 저자명
- 마상백,Ma. Sang-Baek
- ㆍ 간행물명
- 정보처리학회논문지. The KIPS transactions. Part A. Part A
- ㆍ 권/호정보
- 2001년|3호|pp.227-234 (8 pages)
- ㆍ 발행정보
- 한국정보처리학회
- ㆍ 파일정보
- 정기간행물| PDF텍스트
- ㆍ 주제분야
- 기타
In this paper we propose a block-type parallel preconditioner for solving large sparse nonsymmetric linear systems, which we expect to be scalable. It is Multi-Color Block SOR preconditioner, combined with direct sparse matrix solver. For the Laplacian matrix the SOR method is known to have a nondeteriorating rate of convergence when used with Multi-Color ordering. Since most of the time is spent on the diagonal inversion, which is done on each processor, we expect it to be a good scalable preconditioner. We compared it with four other preconditioners, which are ILU(0)-wavefront ordering, ILU(0)-Multi-Color ordering, SPAI(SParse Approximate Inverse), and SSOR preconditiner. Experiments were conducted for the Finite Difference discretizations of two problems with various meshsizes varying up to $1025{ imes}1024$. CRAY-T3E with 128 nodes was used. MPI library was used for interprocess communications, The results show that Multi-Color Block SOR is scalabl and gives the best performances.