广义严格对角占优矩阵的实用新判定

吉林大学学报(理学版)

广义严格对角占优矩阵的实用新判定

许洁^1,2, 刘明姬², 吕显瑞²

1. 吉林化工学院理学院, 吉林吉林 132022; 2. 吉林大学数学学院, 长春 130012

收稿日期:2013-11-11 出版日期:2014-07-26 发布日期:2014-09-26
通讯作者: 吕显瑞 E-mail:lvxr@jlu.edu.cn

New Criteria for the Generalized Strictly Diagonal Dominant Matrix

XU Jie^1,2, LIU Mingji², LV Xianrui²

1. College of Sciences, Jilin Institute of Chemical Technology, Jilin 132022, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2013-11-11 Online:2014-07-26 Published:2014-09-26
Contact: LV Xianrui E-mail:lvxr@jlu.edu.cn

摘要/Abstract

摘要：

通过对矩阵行标进行划分, 利用矩阵元素间的关系, 定义一类新的矩阵对称局部双α对角占优矩阵, 并利用此类矩阵的性质给出广义严格对角占优矩阵的一组判定条件.

关键词: 广义严格对角占优矩阵, 比较矩阵, 非奇异M矩阵, 对称局部双&alpha, 对角占优矩阵

Abstract:

Based on the correlation among matrix elements, a new matrix, i.e., symmetric local double αdiagonally dominant matrix was defined by the partition of the row indices. New criteria for the generalized strict diagonal dominant matrix were given on the basis of the properties of the new matrix.

Key words: generalized strictly diagonally dominant matrices, comparison matrix, nonsingular Mmatrix, symmetric locally double αdiagonally dominant matrix

中图分类号:

O151.21

许洁, 刘明姬, 吕显瑞. 广义严格对角占优矩阵的实用新判定[J]. 吉林大学学报(理学版), 2014, 52(04): 740-742.

XU Jie, LIU Mingji, LV Xianrui. New Criteria for the Generalized Strictly Diagonal Dominant Matrix[J]. Journal of Jilin University Science Edition, 2014, 52(04): 740-742.