机构地区: 韩山师范学院数学与信息技术系
出 处: 《西北师范大学学报(自然科学版)》 2012年第3期18-23,共6页
摘 要: 推广了Nekrasov矩阵的定义,得到了几类新的矩阵,即k层Nekrasov矩阵,k层弱Nekrasov矩阵,广义k层Nekrasov矩阵;利用矩阵的性质和不等式估计,给出了这几类矩阵与广义严格对角占优矩阵之间的关系. The definition of Nekrasov matrix is extended by giving some kinds of new matrix, which are k-layer Nekrasov matrix, generalized k-layer Nekrasov matrix and k-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.