Through the further study on the problems of F-operator in this paper, some research results for .f（x） approximated by F（f, x） are extended, some are refined precisely; meanwhile, the constant is improved further.
It is shown that for any two n x n complex valued matrices A, B the inequality ｜perA-perB｜≤n｜｜A-B｜｜Fmax（｜｜A｜｜F,｜｜B｜｜F）^n-1 or ｜perA-perB｜≤｜｜A｜｜F^n＋｜｜B｜｜F^n holds for ｜｜A｜｜F =（∑i=1^n...It is shown that for any two n x n complex valued matrices A, B the inequality ｜perA-perB｜≤n｜｜A-B｜｜Fmax（｜｜A｜｜F,｜｜B｜｜F）^n-1 or ｜perA-perB｜≤｜｜A｜｜F^n＋｜｜B｜｜F^n holds for ｜｜A｜｜F =（∑i=1^n∑j=1^n｜αij｜^2）^1/2 where A^H denotes the conjuagte transpose of the matrix A = （αij）n×n.展开更多
基金Supported by the National Science Foundation of Henan Provincial Office of Education（2008A110008） Supported by the Foundation and Front Engineering Research of Henan（072300410480）
文摘Through the further study on the problems of F-operator in this paper, some research results for .f（x） approximated by F（f, x） are extended, some are refined precisely; meanwhile, the constant is improved further.
基金Supported by the Natural Science Foundation of Hubei Province(2004X157).
文摘It is shown that for any two n x n complex valued matrices A, B the inequality ｜perA-perB｜≤n｜｜A-B｜｜Fmax（｜｜A｜｜F,｜｜B｜｜F）^n-1 or ｜perA-perB｜≤｜｜A｜｜F^n＋｜｜B｜｜F^n holds for ｜｜A｜｜F =（∑i=1^n∑j=1^n｜αij｜^2）^1/2 where A^H denotes the conjuagte transpose of the matrix A = （αij）n×n.
