正规矩阵及其平方矩阵的偏序  

The Partial Ordering of Normal Matrices and Its Squares

作　　者：刘晓冀[1] 

机构地区：[1]广西民族大学计算机与信息学院,南宁530006

出　　处：《工程数学学报》2007年第4期741-745,共5页Chinese Journal of Engineering Mathematics

基　　金：广西自然科学基金(桂科基05715032;桂科青0640016);广西百名中青年学科带头人资助

摘　　要：本文利用正规矩阵对的奇异值分解,研究正规矩阵及其平方矩阵的星型序和减序之间的关系,给出了正规矩阵及其平方矩阵的星型序等价和减序等价的充要条件,并得到了一般矩阵及其平方矩阵的星型序的一些关系。推广了关于半正定矩阵的相应结果。The relation between the star and minus partial orderings of the normal matrices and its squares is discussed by using the singular value decomposition of a pair of normal matrices, some sufficient and necessary conditions for the equivalence between the star and minus partial ordering of the normal matrices and its squares are given, furthermore the relation between the star partial ordering of the general matrices and its squares are obtained. The related results of the definite positive matrices are extended.

关 键 词：正规矩阵 ＊-序 减序 

分 类 号：O151.21[理学—数学]