宁夏大学学报(自然科学版)2013,Vol.34Issue(1):11-15,5.
可换正规矩阵上的非线性Moore-Penrose逆保持映射
Nonlinear Moore-Penrose Inverse Preserving Maps on Commuting Normal Matrices
摘要
Abstract
Complex normal matrices include unitary,Hermitian,and skew-Hermitian matrices.Nonlinear preserver problems on normal matrices over complex field are investigated.It is shown that a nonlinear map on commuting normal matrices A=(A1,A2,….,Ad) that preserve Moore-Penrose inverse is a unitary transformation depending on A,or its minus.关键词
非线性保持/Moore-Penrose逆/可换正规矩阵Key words
nonlinear preserver/ Moore-Penrose inverse/ commuting normal matrix分类
数理科学引用本文复制引用
韩秀,偶世坤..可换正规矩阵上的非线性Moore-Penrose逆保持映射[J].宁夏大学学报(自然科学版),2013,34(1):11-15,5.基金项目
The Youth Foundation of Jiangxi Provincial Education Department of China(GJJ10155) (GJJ10155)
江西省教育厅青年基金资助项目(GJJ10155) (GJJ10155)