The Improvement of Fischer's Inequality and Hadamard's Inequality

数学季刊 ›› 1994, Vol. 9 ›› Issue (3): 13-18.

The Improvement of Fischer's Inequality and Hadamard's Inequality

Department of Basic Sciences,Xingtan Mining Instiute,Xiangtan,411201,P.R.China

收稿日期:1994-04-23 出版日期:1994-09-30 发布日期:2025-04-16

The Improvement of Fischer's Inequality and Hadamard's Inequality

Department of Basic Sciences,Xingtan Mining Instiute,Xiangtan,411201,P.R.China

Received:1994-04-23 Online:1994-09-30 Published:2025-04-16

摘要/Abstract

摘要： This paper improves Fischer's inequality and Hadamard's inequality as follows: IfA=(a,) is either an × totally nonnegative matrix with or a n×n nonsingular M-matrix or a n×n positive definite Hermitian matrix,then ... where aC(m>={1,2,…,x} and d=(m》-a.

关键词: , totally nonnegative matrix, M-matrix, positive definite Hermitian matrix, determinant, , Fischer's inequality,Hadamard's inequality

Abstract: This paper improves Fischer's inequality and Hadamard's inequality as follows: IfA=(a,) is either an × totally nonnegative matrix with or a n×n nonsingular M-matrix or a n×n positive definite Hermitian matrix,then ... where aC(m>={1,2,…,x} and d=(m》-a.

Key words: , totally nonnegative matrix, M-matrix, positive definite Hermitian matrix, determinant, , Fischer's inequality,Hadamard's inequality

中图分类号:

O178

黄礼平. The Improvement of Fischer's Inequality and Hadamard's Inequality[J]. 数学季刊, 1994, 9(3): 13-18.

Huang Liping. The Improvement of Fischer's Inequality and Hadamard's Inequality[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(3): 13-18.

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The Improvement of Fischer's Inequality and Hadamard's Inequality

The Improvement of Fischer's Inequality and Hadamard's Inequality

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