复次亚正定矩阵的几个行列式不等式  

On Determinant Inequalities in Complex Metapositive Sub-definite Matrix

作　　者：高静[1] 

机构地区：[1]广州科技贸易职业学院,广东广州510000

出　　处：《浙江工商职业技术学院学报》2011年第2期93-96,共4页Journal of Zhejiang Business Technology Institute

摘　　要：在给出次亚正定矩阵和复次亚正定矩阵的概念和判定条件后,根据复次亚正定矩阵和次亚正定矩阵之间的关系,可利用次亚正定矩阵的行列式不等式推导出有关于复次亚正定矩阵的行列式不等式。可对复次亚正定矩阵涉及到的行列式不等式问题,复次亚正定矩阵的偏序问题进行探索,对所得结论,用实例予以说明和论证。After the concept and sufficient criteria of metapositive subdefinite matrix and complex metapositive sub-definite matrix are presented, according to their relationship, complex metapositive sub-definite matrix determinant inequalities can be deduced from several determinant inequalities of metapositive subdefinite matrices. This paper probes into the determinant inequalities and parial order, then exemplifying and verifying its results.

关 键 词：次亚正定矩阵 复次亚正定矩阵 亚正定矩阵 复亚正定矩阵 行列式 不等式 

分 类 号：O151.21[理学—数学]