A Two-Step Matrix-Splitting Iterative Method for Solving the Generalized Absolute Value Equation

被引：0
作者：
Zheng, Lin [1 ,2 ]
Tang, Yangxin [1 ,2 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China
[2] Anhui Univ Finance & Econ, Inst Quantitat Econ, Bengbu 233030, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2024年 / 2024卷
关键词：
NEWTON METHOD; ALGORITHM;
D O I：
10.1155/2024/8396895
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a two-step Newton-based matrix-splitting iteration method for solving the generalize absolute value equation. This method can produce a number of two-step Newton-based relaxation iteration algorithms with the right matrix-splitting options. In particular, some specific sufficient conditions are presented, when A is an H+-matrix. Finally, numerical results indicate that the two-step Newton-based relaxation iteration techniques are effective for solving the generalized absolute value equation.
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页数：11
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