A modified scaled spectral-conjugate gradient-based algorithm for solving monotone operator equations
type: Item
instance of: scholarly article
title: A modified scaled spectral-conjugate gradient-based algorithm for solving monotone operator equations
zbMATH Open document ID: 1477.65078
DOI: 10.1155/2021/5549878
author: Auwal Bala Abubakar
author: Kanikar Muangchoo
author: Abdulkarim Hassan Ibrahim
author: Sunday Emmanuel Fadugba
author: Kazeem Olalekan Aremu
author: Lateef Olakunle Jolaoso
published in: Journal of Mathematics
publication date: 2021-06-28T00:00:00Z
review text: Summary: This paper proposes a modified scaled spectral-conjugate-based algorithm for finding solutions to monotone operator equations. The algorithm is a modification of the work of \textit{Q. Li} and \textit{B. Zheng} [Numer. Algorithms 87, No. 3, 1343--1367 (2021; Zbl 1471.65052)] in the sense that the uniformly monotone assumption on the operator is relaxed to just monotone. Furthermore, unlike the work of [loc. cit.], the search directions of the proposed algorithm are shown to be descent and bounded independent of the monotonicity assumption. Moreover, the global convergence is established under some appropriate assumptions. Finally, numerical examples on some test problems are provided to show the efficiency of the proposed algorithm compared to that of Li and Zheng [loc. cit.].
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 7363797
describes a project that uses: Wirtinger Flow
describes a project that uses: MCPLIB
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5549878
OpenAlex ID: W3159107483
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description: scientific article; zbMATH DE number 7363797