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LU分解的增长因子
引用本文:魏木生,刘巧华.LU分解的增长因子[J].高等学校计算数学学报,2008,30(4).
作者姓名:魏木生  刘巧华
作者单位:[1]上海师范大学数理学院,上海200234 [2]上海大学数学系,上海200444
基金项目:国家自然科学基金,上海市重点学科建设项目 
摘    要:

关 键 词:LU分解  增长因子  高等数学  教学方法

ON GROWTH FACTORS OF THE LU FACTORIZATION
Wei Musheng,Liu Qiaohua.ON GROWTH FACTORS OF THE LU FACTORIZATION[J].Numerical Mathematics A Journal of Chinese Universities,2008,30(4).
Authors:Wei Musheng  Liu Qiaohua
Abstract:In this article, we derive upper bounds of different growth factors for the LU factorization, which are dominated by A11(k)-1A12(k),A21(k)A11(k)-1, where A11(k), A12(k), A21(k), A22(k) are sub-matrices of A. We also derive upper bounds of growth factors for the Cholesky factorization. Numerical examples are presented to verify our findings.
Keywords:growth factor  LU  Cholesky
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