关于积和式差的一点注记

数学季刊 ›› 2006, Vol. 21 ›› Issue (2): 278-282.

关于积和式差的一点注记

Department of Fundamental Courses, Hubei University of Economics and Management, Wuhan 430074, China;School of Mathematics and Physics, Huangshi College of Technology, Huangshi 435003, China

收稿日期:2005-05-18 出版日期:2006-06-30 发布日期:2023-12-12
作者简介:HOU Qian-min(1958-),male,native of Zhenping,Henan,an associate professor of Hubei Uni- versity of Economics and Management,engages in mathematics.
基金资助:
Supported by the Natural Science Foundation of Hubei Province(2004X157).；

A Note on the Variation of Permanents

Department of Fundamental Courses, Hubei University of Economics and Management, Wuhan 430074, China;School of Mathematics and Physics, Huangshi College of Technology, Huangshi 435003, China

Received:2005-05-18 Online:2006-06-30 Published:2023-12-12
About author:HOU Qian-min(1958-),male,native of Zhenping,Henan,an associate professor of Hubei Uni- versity of Economics and Management,engages in mathematics.
Supported by:
Supported by the Natural Science Foundation of Hubei Province(2004X157).；

摘要/Abstract

摘要： It is shown that for any two n×n complex valued matrices A, B the inequality |perA-perB|≤n‖A-B‖_Fmax(‖A‖_F,‖B‖_F)^n-1 or ... holds for where A^Hdenotes the conjuagte transpose of the matrix A=(a_ij)_n×n.

关键词: F-operator nom of matrix, variation of permanents, tensor product, numerical radius of matrix

Abstract: It is shown that for any two n×n complex valued matrices A, B the inequality |perA-perB|≤n‖A-B‖_Fmax(‖A‖_F,‖B‖_F)^n-1 or ... holds for where A^Hdenotes the conjuagte transpose of the matrix A=(a_ij)_n×n.

Key words: F-operator nom of matrix, variation of permanents, tensor product, numerical radius of matrix

中图分类号:

O151.21

侯谦民, 刘修生. 关于积和式差的一点注记[J]. 数学季刊, 2006, 21(2): 278-282.

HOU Qian-min, LIU Xiu-sheng . A Note on the Variation of Permanents[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 278-282.

[1]	贺维骄. 基本 C*-代数与 Haagerup 张量积[J]. 数学季刊, 2021, 36(4): 415-418.
[2]	李师正, 程涛. 关于半环半群[J]. 数学季刊, 2005, 20(2): 131-136.
[3]	冯良贵. 亚投射模、张量积和极限[J]. 数学季刊, 1997, 12(1): 61-64.