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: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6693401 |
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| author | Branislav Ivanov Predrag S. Stanimirović Bilall I. Shaini Hijaz Ahmad Miao-Kun Wang |
| author_facet | Branislav Ivanov Predrag S. Stanimirović Bilall I. Shaini Hijaz Ahmad Miao-Kun Wang |
| author_sort | Branislav Ivanov |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e7fdd88c5f8449239c68c27b1b6de490 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e7fdd88c5f8449239c68c27b1b6de4902025-02-03T01:20:51ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/6693401 |
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