Proper single splittings over proper cones of rectangular matrices

被引：0
|
作者：
Huang, Ting [1 ]
Miao, Shu-Xin [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
来源：
SCIENCEASIA | 2023年 / 49卷 / 06期
关键词：
rectangular matrix; proper single regular splitting over proper cone; proper single weak regular splitting over proper cone; convergence; comparison theorems; NONNEGATIVE SPLITTINGS; COMPARISON-THEOREMS;
D O I：
10.2306/scienceasia1513-1874.2023.054
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this article, we introduce two new splittings for rectangular matrices, which are called proper single regular and weak regular splittings over proper cone. Convergence results for the proper single regular splitting over proper cones of a rectangular matrix are established. Meanwhile, comparison theorems between the spectral radii of matrices arising from proper single regular and/or weak regular splittings over proper cones of the same rectangular matrix or different rectangular matrices are presented. The work here extends the applicability of the splitting results over field of rectangular matrices.
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页码：939 / 946
页数：8
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