摘要
若矩阵函数d满足对任何-n阶可逆矩阵A,d(A)det(A-1)=d(A-1)det(A),则称d属于类MPW。若d满足对任-n阶可逆矩阵A,当且仅当d(A-1)=0时,d(A)=0,则称d属于类2.讨论了由球带函数导出的一类矩阵函数d的性质,证得d属于类2的必要充分条件是d属于类MPW。
For any invertible matrix A,of the nth order,if a matrix function d satisfies d(A)×det(A-1)=d(A-1) det(A),then d is said to be in class MPW. For any invertible matrixA of the nth order, of d satisfies d d(A)=0 if and only if d(A-1)=0 , then d is said to be inclass 2. The properties of the generalized matrix function d induced by the zonal sphericalfunctions is discussed. It is proved that the necessary and sufficient condition for the general-ized matrix function d to be in class 2 is that d should be in MPW.
出处
《华中理工大学学报》
CSCD
北大核心
1995年第7期125-128,共4页
Journal of Huazhong University of Science and Technology
关键词
球带函
矩阵函数
可迁子群
MPW问题
zonal spherical function
matrix function
transitive subgroup