准正交矩阵与准对称矩阵  

The Almost Orthogonal Matrix and Almost Symmetric Matrix

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：《工程数学学报》2004年第4期641-644,共4页Chinese Journal of Engineering Mathematics

基　　金：重庆市教委科学基金(3-10-71);重庆市高校优秀中青年骨干教师基金

摘　　要：利用次转置阵给出了准正交阵与(反)准对称阵的概念;研究了它们的基本性质及其之间的联系;取得了许多新的结果,推广了正交阵、对称阵与反对称阵间的相应结果,特别将正交阵的广义Cayley分解推广到了准正交阵上;将各类正交阵、对称阵及广义逆矩阵统一了起来。Use of sub-transposed matrix to have given the concepts of almost orthogonal matrix and almost (anit-)symmetric matrix, and their basic properties and relations is discussed, and many new re- sults have been obtained, orthogonal matrix and symmetric matrix and anit- symmetric matrix between of corresponding result have been popularized, especially orthogonal matrix's Cayley decomposition is extended into almost orthogonal matrix fields, and various kind orthogonal matrix and symmetric ma- trix and generalized inverse matrix is unified.

关 键 词：次转置矩阵 准正交矩阵 准对称矩阵 准反对称矩阵 广义逆矩阵 

分 类 号：O151.21[理学—数学]