MULTISPLITTING PRECONDITIONERS BASED ON INCOMPLETE CHOLESKI FACTORIZATIONS

作     者：BRU, R CORRAL, C MARTINEZ, A MAS, J 

出 版 物：《SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS》 (工业与应用数学会矩阵分析和应用杂志)

年 卷 期：1995年第16卷第4期

页      面：1210-1222页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：MULTISPLITTING PRECONDITIONER INCOMPLETE CHOLESKI FACTORIZATION PARALLEL ALGORITHM 

摘      要：Let Ax = b be a linear system where A is a symmetric positive definite matrix. Preconditioners for the conjugate gradient method based on multisplittings obtained by incomplete Choleski factorizations of A are studied. The validity of these preconditioners when A is an M-matrix is proved and a parallel implementation is presented.