A New Three-Term Conjugate Gradient-Based Projection Method for Solving Large-Scale Nonlinear Monotone Equations

被引：10
作者：
Koorapetse, Mompati [1 ]
Kaelo, Professor [1 ]
机构：
[1] Univ Botswana, Dept Math, Private Bag UB00704, Gaborone, Botswana
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2019年 / 24卷 / 04期
关键词：
nonlinear monotone equations; derivative-free; global convergence; SYSTEMS;
D O I：
10.3846/mma.2019.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new three-term conjugate gradient-based projection method is presented in this paper for solving large-scale nonlinear monotone equations. This method is derivative-free and it is suitable for solving large-scale nonlinear monotone equations due to its lower storage requirements. The method satisfies the sufficient descent condition F(k)(T)d(k) <= - tau parallel to F-k parallel to(2), where tau > 0 is a constant, and its global convergence is also established. Numerical results show that the method is efficient and promising.
引用
收藏
页码：550 / 563
页数：14
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