关于正定复矩阵行列式模的一个不等式  

An inequality of a model of the complex positive definite matrix determinant

作　　者：庞新琴[1] 

机构地区：[1]济宁师专数学系,山东济宁272025

出　　处：《德州学院学报》2003年第4期13-14,30,共3页Journal of Dezhou University

摘　　要：对正定复矩阵的Schur补的行列式模的估计进行了研究,给出k-局部完全对称正定复矩阵与正定Hermite矩阵和的Schur补的行列式模的一个估计不等式本结论主要采用了“挖去”方阵中未必对称的部分,充分利用局部对称性的思想方法进行了证明.In this paper,the model's estimate of Schur complement of complex positive definite matrix is researched;an estimating inequality of schur complement determinant's model of the sum of a complex positive definite k- partly absolutey symmetric matrix and a plsiteve definite Hermite matrix is concluded: The proof of the conchusion mainly adopts the thought that cut off the inedfinite symmetric part in the square matrix , and fully use 'partly symmetric'.

关 键 词：正定复矩阵 κ—局部对称阵 行列式模 

分 类 号：O151.21[理学—数学]