A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method

A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method

A new rule for calculating the parameter t involved in each iteration of the MHSDL (Dai-Liao) conjugate gradient (CG) method is presented. The new value of the parameter initiates a more efficient and robust variant of the Dai-Liao algorithm. Under proper conditions, theoretical analysis reveals tha...

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Main Authors: Branislav Ivanov, Predrag S. Stanimirović, Bilall I. Shaini, Hijaz Ahmad, Miao-Kun Wang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6693401
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spelling doaj-e7fdd88c5f8449239c68c27b1b6de4902021-02-15T12:53:04ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66934016693401A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient MethodBranislav Ivanov0Predrag S. Stanimirović1Bilall I. Shaini2Hijaz Ahmad3Miao-Kun Wang4Technical Faculty in Bor, University of Belgrade, Vojske Jugoslavije 12, 19210 Bor, SerbiaFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, SerbiaUniversity of Tetovo, St. Ilinden, n.n., Tetovo, North MacedoniaDepartment of Basic Sciences, University of Engineering and Technology Peshawar, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaA new rule for calculating the parameter t involved in each iteration of the MHSDL (Dai-Liao) conjugate gradient (CG) method is presented. The new value of the parameter initiates a more efficient and robust variant of the Dai-Liao algorithm. Under proper conditions, theoretical analysis reveals that the proposed method in conjunction with backtracking line search is of global convergence. Numerical experiments are also presented, which confirm the influence of the new value of the parameter t on the behavior of the underlying CG optimization method. Numerical comparisons and the analysis of obtained results considering Dolan and Moré’s performance profile show better performances of the novel method with respect to all three analyzed characteristics: number of iterative steps, number of function evaluations, and CPU time.http://dx.doi.org/10.1155/2021/6693401
collection DOAJ
language English
format Article
sources DOAJ
author Branislav Ivanov
Predrag S. Stanimirović
Bilall I. Shaini
Hijaz Ahmad
Miao-Kun Wang
spellingShingle Branislav Ivanov
Predrag S. Stanimirović
Bilall I. Shaini
Hijaz Ahmad
Miao-Kun Wang
A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
Journal of Function Spaces
author_facet Branislav Ivanov
Predrag S. Stanimirović
Bilall I. Shaini
Hijaz Ahmad
Miao-Kun Wang
author_sort Branislav Ivanov
title A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
title_short A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
title_full A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
title_fullStr A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
title_full_unstemmed A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
title_sort novel value for the parameter in the dai-liao-type conjugate gradient method
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2021-01-01
description A new rule for calculating the parameter t involved in each iteration of the MHSDL (Dai-Liao) conjugate gradient (CG) method is presented. The new value of the parameter initiates a more efficient and robust variant of the Dai-Liao algorithm. Under proper conditions, theoretical analysis reveals that the proposed method in conjunction with backtracking line search is of global convergence. Numerical experiments are also presented, which confirm the influence of the new value of the parameter t on the behavior of the underlying CG optimization method. Numerical comparisons and the analysis of obtained results considering Dolan and Moré’s performance profile show better performances of the novel method with respect to all three analyzed characteristics: number of iterative steps, number of function evaluations, and CPU time.
url http://dx.doi.org/10.1155/2021/6693401
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