西北师范大学学报(自然科学版)2012,Vol.48Issue(3):18-23,6.
Nekrasov矩阵的推广
Extention of Nekrasov matrix
摘要
Abstract
The definition of Nekrasov matrix is extended by giving some kinds of new matrix, which are it-layer Nekrasov matrix, generalized κ-layer Nekrasov matrix and κ-layer weak Nekrasov matrix. Futher, by using the properties of matrix and some inequalities techniques, the relationship between these kinds of new matrix and the generalized strictly diagonally dominant matrix is obtained.关键词
Nekrasov矩阵/k层Nekrasov矩阵/k层弱Nekrasov矩阵/广义k层Nekrasov矩阵/广义严格对角占优阵Key words
Nekrasov matrix/ κ-layer Nekrasov matrix/ κ-layer weak Nekrasov matrix/ generalized κ-layer Nekrasov matrix/ generalized strictly diagonally dominant matrix分类
数理科学引用本文复制引用
刘玉,马衍波,刘建州,张超权..Nekrasov矩阵的推广[J].西北师范大学学报(自然科学版),2012,48(3):18-23,6.基金项目
国家自然科学基金资助项目(10971176) (10971176)
广东省自然科学基金资助项目(10152104101000008) (10152104101000008)
湖南省自然科学基金资助项目(10JJ2002) (10JJ2002)