广义次正定矩阵上的Oppenheim不等式

广义次正定矩阵上的Oppenheim不等式

吕洪斌¹,³, 杨忠鹏²

1. 吉林大学数学研究所, 长春 130012； 2. 莆田学院数学系, 福建省莆田 351100；3. 北华大学数学系, 吉林省吉林 132033

收稿日期:2005-09-26 修回日期:1900-01-01 出版日期:2006-07-26 发布日期:2006-07-26
通讯作者: 吕洪斌

Oppenheim Inequality on Extended Subpositive Definite Matrix

Lv Hongbin¹,³, YANG Zhongpeng²

1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2. Department of Mathematics, Putian University, Putian 351100, Fujian Province, China; 3. Department of Mathematics, Beihua University, Jilin 132033, Jilin Province, China

Received:2005-09-26 Revised:1900-01-01 Online:2006-07-26 Published:2006-07-26
Contact: Lv Hongbin

摘要/Abstract

摘要： 用矩阵分析的方法, 通过对广义次正定矩阵性质的进一步研究, 得到了更一般条件下的两个广义次正定矩阵的Hadamard乘积的行列式下界估计的Oppenheim不等式, 在适用范围和估计精度上都改进了已有的相应结果.

关键词: 广义次正定矩阵, Hadamard乘积, 行列式的下界估计, SchurOppenheim不等式

Abstract: The property of extended subpositive definite matrix is studied further by means of the method of matrix analysis to obtain the lower estimated Oppenheim inequality of Hadamard multiplication determinant belonging to two extended subpositive definite matrices under more general conditions and improve the past results in the adaptation range and estimated exactnes.

Key words: extended subpositive definite matrix, Hadamard multiplication, lower estimation of determinant, SchurOppenheim inequality

中图分类号:

O151.21

吕洪斌,, 杨忠鹏. 广义次正定矩阵上的Oppenheim不等式[J]. J4, 2006, 44(04): 547-550.

Lv Hongbin,, YANG Zhongpeng. Oppenheim Inequality on Extended Subpositive Definite Matrix[J]. J4, 2006, 44(04): 547-550.