纺织高校基础科学学报2011，Vol.24Issue(1)：109-113,5.
半环上矩阵的广义逆与T-序
Generalized inverse and T-Ordering of matrices over semirings
摘要
Abstract
Firstly the concept of the Moore-Penrose inverse was introduced. Moore-Penrose inverse of the matrices over semirings was researched by T-orderings relationship of the matrix. Several properties of satisfied T-orderings condition of the matrix was gotten. Moreover, Moore-Penrose inverse was the large element of other generalized inverse or minimum element. Finally, the matrix of non-negative idempotent partial-orders semiring was studied. A useful conclusion was obtained.关键词
半环/偏序半环/矩阵/Moore-Penrose逆/T-序关系Key words
semirings/ partially ordered semiring/ matrices/ Moore-Penrose inverse/ T-ordering relationship分类
数理科学引用本文复制引用
郭倩茹,李培..半环上矩阵的广义逆与T-序[J].纺织高校基础科学学报,2011,24(1):109-113,5.基金项目
陕西省教育厅专项基金资助项目(2007JK413) （2007JK413）
西北大学科学研究基金资助项目(09NW25) （09NW25）
