广义次正定矩阵上的Oppenheim不等式

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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

Abstract

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

CLC Number:

O151.21

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

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Oppenheim Inequality on Extended Subpositive Definite Matrix

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