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

Chinese Quarterly Journal of Mathematics ›› 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

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

Abstract

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

CLC Number:

O178

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

[1]	ZHANG Xiao-cang, XU Li-ping. High Energy Normalized Solutions for the Schrödinger Equations with Exponential Critical Growth [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 1-19.
[2]	韩书书, 韦煜明. Power Options Pricing under Markov Regime-Switching Two-Factor Stochastic Volatility Jump-Diffusion Model [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 59-73.
[3]	ZHANF An-lei, LIU Bing-chen. Blow-Up Solutions in a Parabolic Equation with Variable Coefficients and Memory Boundary Flux [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 74-81.
[4]	ZHU Ting, YANG Liu. On α-Bloch Functions in Several Complex Variables [J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 93-102.
[5]	LI Ping, LI Feng-jie. Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 331-354.
[6]	PEI Ke-ke, LONG Pin-hong, LIU Jin-lin, GANGADHARAN Murugusundaramoorthy. Fekete-Szegö Inequalities and the Symmetric Toeplitz Determinants for Certain Analytic Function Class Involving q-Differintegral Operator [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 366-378.
[7]	JI Lin-xing, ZHANG Ke, HU Wen-jun. Independence Polynomials and the Merrifield-Simmons Index of Mono-Layer Cylindrical Grid Graphs [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 379-387.
[8]	WANG Hui-man, SHEN Pei-ping, LIANG Yu-xin. Branch and Bound Algorithm for Globally Solving Minimax Linear Fractional Programming [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 388-398.
[9]	DENG Jing-tao. The Hyers-Ulam Stability and Hyers-Ulam Instability for Some Nonhomogeneous Ordinary Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 420-430.
[10]	WEI Li-yang, LI Feng. Italian Domination of Strong Product of Two Paths [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 221-234.
[11]	LI Xiang, YU Bo, TANG Qiong. Factorized Smith Method for A Class of High-Ranked Large-Scale T-Stein Equations [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 235-249.
[12]	LI Nan, ZHAO Hui-yan, XU Li-ping. Normalized Ground State Solutions of Nonlinear Choquard Equations with Nonconstant Potential [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 250-261.
[13]	ZHANG Wen-wen, LI Ping-run. On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 262-269.
[14]	MAO Hang-ning, CHANG Yong-kui. Pseudo S-Asymptotically (ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 295-306.
[15]	CHEN Yu-lei, GUO Dong-wei. Combinatorial Identities Concerning Harmonic Numbers [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 307-314.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments