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Copyright © 2021 Branislav Ivanov et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/

Abstract

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.

Details

Title
A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method
Author
Ivanov, Branislav 1   VIAFID ORCID Logo  ; Stanimirović, Predrag S 2   VIAFID ORCID Logo  ; Shaini, Bilall I 3 ; Hijaz Ahmad 4   VIAFID ORCID Logo  ; Miao-Kun, Wang 5   VIAFID ORCID Logo 

 Technical Faculty in Bor, University of Belgrade, Vojske Jugoslavije 12, 19210 Bor, Serbia 
 Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia 
 University of Tetovo, St. Ilinden, n.n., Tetovo, North Macedonia 
 Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan 
 Department of Mathematics, Huzhou University, Huzhou 313000, China 
Editor
Ioan Rasa
Publication year
2021
Publication date
2021
Publisher
John Wiley & Sons, Inc.
ISSN
23148896
e-ISSN
23148888
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2487053123
Copyright
Copyright © 2021 Branislav Ivanov et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/