Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (2): 278-282.

Previous Articles     Next Articles

A Note on the Variation of Permanents

  

  1. 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).;

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 Adenotes the conjuagte transpose of the matrix A=(aij)n×n.

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

CLC Number: