关于积和式差的一点注记

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|perA-perB|≤‖A‖nF+‖B‖nF holds for ‖A‖F =(∑ni=1 ∑nj=1 |aij|2)1/2 where AH denotes the conjuagte transpose of the matrix A = (aij)n×n.