行(列)对称矩阵的Schur分解和正规阵分解  

Schur factorization and normal matrices factorization of row(column) symmetric matrices

作　　者：袁晖坪[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《山东大学学报（理学版）》2007年第10期123-126,共4页Journal of Shandong University(Natural Science)

基　　金：重庆市自然科学基金资助项目(CSTS2005BB0243);重庆市教委科技项目基金资助项目(3-10-71)

摘　　要：提出了行(列)转置矩阵与行(列)反对称矩阵的概念,研究了它们的性质,获得了一些新的结果,给出了行(列)对称矩阵的Schur分解与正规阵分解的公式,它们可极大地减少行(列)对称矩阵的Schur分解与正规阵分解的计算量与存储量.The concept of row （column） transposed matrix and row （column） synunetric matrix were given, and their basic properties were also studied. The formula for the Schur factorization and normal matrix factorization of row （column） symmetric matrix were obtained, all of which can dramatically reduce the amount of calculation and Schur factorization and normal matrix factorization of row （column） symmetric matrix can dramatically save the CPU time and memory without losing any numerical precision.

关 键 词：行(列)转置矩阵 行(列)对称矩阵 正规矩阵 SCHUR分解 

分 类 号：O151.21[理学—数学]