A derivative free projection method for the singularities of vector fields with convex constraints on Hadamard manifolds

被引：0
作者：
Sahu, D. R. [1 ]
Sharma, Shikher [1 ]
机构：
[1] Banaras Hindu Univ, Dept Math, Varanasi, India
来源：
OPTIMIZATION METHODS & SOFTWARE | 2024年
关键词：
Projection method; line search method; vector field; Hadamard manifold; CONJUGATE-GRADIENT METHOD; PROXIMAL POINT ALGORITHMS; NEWTON METHOD; VARIATIONAL-INEQUALITIES; SEMISMOOTH EQUATIONS; RIEMANNIAN-MANIFOLDS; MONOTONE EQUATIONS; CONVERGENCE; DESCENT;
D O I：
10.1080/10556788.2024.2400700
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The objective of this paper is to introduce a derivative free projection method designed to find the singularities of pseudomonotone vector fields with convex constraints on Hadamard manifolds. This innovative approach combines the hyperplane projection method with a novel search direction. The global convergence of the proposed method is established under certain conditions. Our method improves some existing results in the literature on Hadamard manifolds. Additionally, illustrative numerical examples are provided to demonstrate the practical efficacy of our method.
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页数：21
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