Inequality of Oppenheim for positive subdefinite matriz and metapositive subdefinite matriz

摘要：

In this paper, Oppenheim inequality det(A οB)≥ det A nΠi=1bii is modified further. We give a better lower estimate of Hadamards product determinant in the form of partitioned matrices. Namely,Oppenheim inequality in the form of partitioned matrices:|det (A οB)|≥ |det(A kοBk) det(A21οB/Bk)|+|det(A οB)det(A/Ak )det(B21-B/Bk)|.

关键词： positive subdefinite matriz metapositive subdefinite matriz Hadamard product k-locally full subsymmetric matriz

作者: Yumin Zheng Runqing Cui Yuge Zheng

作者单位: School of Mathematics and Informatics,Henan Polytechnic University, Jiaozuo, Henan, 454000, P.R.China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1435-1439

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）