Araştırma Makalesi

Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization

Cilt: 4 Sayı: 2 3 Ocak 2023
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Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization

Öz

The conjugate gradient technique is one of the most effective methods for solving and minimizing unconstrained optimization problems, and it is widely utilized. In this research, we introduce a novel nonlinear conjugate gradient approach with excellent convergence for unconstrained minimization problems that is based on the nonlinear conjugate gradient method. The new algorithm has the property of descent as well as global convergence. Results from the numerical evaluations demonstrate that the new technique is very efficient in practical computing and outperforms previous comparable approaches in a wide range of conditions

Anahtar Kelimeler

Kaynakça

  1. H. M. Khudhur and K. K. Abbo, “A New Conjugate Gradient Method for Learning Fuzzy Neural Networks,” J. Multidiscip. Model. Optim., vol. 3, no. 2, pp. 57–69, 2021.
  2. O. M. T. Wais, “Two Modified Spectral Conjugate Gradient methods for Optimization,” Coll. Basic Educ. Res. J., vol. 14, no. 4, pp. 533–553, 2018.
  3. Z. M. Abdullah, M. Hameed, M. K. Hisham, and M. A. Khaleel, “Modified new conjugate gradient method for Unconstrained Optimization,” Tikrit J. Pure Sci., vol. 24, no. 5, pp. 86–90, 2019.
  4. K. K. Abbo and O. M. T. Waiss, “Investigation on Extended Conjugate Gradient Non-linear methods for solving Unconstrained Optimization.”
  5. K. K. Abbo, Y. A. Laylani, and H. M. Khudhur, “Proposed new Scaled conjugate gradient algorithm for Unconstrained Optimization,” Int. J. Enhanc. Res. Sci. Technol. Eng., vol. 5, no. 7, 2016.
  6. H. N. Jabbar, K. K. Abbo, and H. M. Khudhur, “Four--Term Conjugate Gradient (CG) Method Based on Pure Conjugacy Condition for Unconstrained Optimization,” kirkuk Univ. J. Sci. Stud., vol. 13, no. 2, pp. 101–113, 2018.
  7. M. A. Wolfe, Numerical methods for unconstrained optimization: An introduction. Van Nostrand Reinhold New York, 1978.
  8. A. Al-Bayati, B. Hassan, and H. Jabbar, “A new class of nonlinear conjugate gradient method for solving unconstrained minimization problems,” 2019, doi: 10.1109/ICCISTA.2019.8830657.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Ibrahim Saleh Bu kişi benim
Iraq

Yayımlanma Tarihi

3 Ocak 2023

Gönderilme Tarihi

29 Ocak 2022

Kabul Tarihi

12 Eylül 2022

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Alkassaab, O., Abbo, K. K., & Saleh, I. (2023). Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization. Journal of Multidisciplinary Modeling and Optimization, 4(2), 32-42. https://izlik.org/JA34LX38NG
AMA
1.Alkassaab O, Abbo KK, Saleh I. Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization. jmmo. 2023;4(2):32-42. https://izlik.org/JA34LX38NG
Chicago
Alkassaab, Osama, Khalil K. Abbo, ve Ibrahim Saleh. 2023. “Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization”. Journal of Multidisciplinary Modeling and Optimization 4 (2): 32-42. https://izlik.org/JA34LX38NG.
EndNote
Alkassaab O, Abbo KK, Saleh I (01 Ocak 2023) Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization. Journal of Multidisciplinary Modeling and Optimization 4 2 32–42.
IEEE
[1]O. Alkassaab, K. K. Abbo, ve I. Saleh, “Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization”, jmmo, c. 4, sy 2, ss. 32–42, Oca. 2023, [çevrimiçi]. Erişim adresi: https://izlik.org/JA34LX38NG
ISNAD
Alkassaab, Osama - Abbo, Khalil K. - Saleh, Ibrahim. “Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization”. Journal of Multidisciplinary Modeling and Optimization 4/2 (01 Ocak 2023): 32-42. https://izlik.org/JA34LX38NG.
JAMA
1.Alkassaab O, Abbo KK, Saleh I. Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization. jmmo. 2023;4:32–42.
MLA
Alkassaab, Osama, vd. “Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization”. Journal of Multidisciplinary Modeling and Optimization, c. 4, sy 2, Ocak 2023, ss. 32-42, https://izlik.org/JA34LX38NG.
Vancouver
1.Osama Alkassaab, Khalil K. Abbo, Ibrahim Saleh. Modified Hestenes - Stiefel Conjugate Gradient (MHS-CG) method for solving unconstrained optimization. jmmo [Internet]. 01 Ocak 2023;4(2):32-4. Erişim adresi: https://izlik.org/JA34LX38NG