SOLVING LINEAR-SYSTEMS ON A VECTOR COMPUTER

作     者：HOFFMANN, W 

作者机构：UNIV AMSTERDAMINST MATH1018 WB AMSTERDAMNETHERLANDS 

出 版 物：《JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS》 (计算与应用数学杂志)

年 卷 期：1987年第18卷第3期

页      面：353-367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：Gaussian elimination LU-decomposition Gauss—Jordan algorithm linear equations vector computing 

摘      要：This paper gives a classification for the triangular factorization of square matrices. These factorizations are used for solving linear systems. Efficient algorithms for vector computers are presented on basis of criteria for optimal algorithms. Moreover, the Gauss—Jordan elimination algorithm in a version which admits efficient implementation on a vector computer is described. Comparative experiments in FORTRAN 77 with FORTRAN 200 extensions for the Cyber 205 are reported.