Research Article
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Year 2019, Volume: 2 Issue: 1, 16 - 26, 02.08.2019

Zeyad M. Abdullah Marwan S. Jameel

Abstract

References

  • [1] L. Zhang, W. Zhou and D.H. Li, "A descent modified Polak-Ribi`ere-Polyak conjugate gradient method and its global convergence ", IMA Journal of Numerical Analysis, 26 (2006),629–640.
  • [2] L. Zhang, W. Zhou and D.H. Li, "Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search", Numerische Mathematik, 104 (2006),561–572.
  • [3] L. Zhang, W. Zhou and D.H. Li, Some descent three-term conjugate gradient methods and their global convergence, Optimization Methods and Software, 22 (2007), 697–711 .

Three-Term Conjugate Gradient (TTCG) methods

Year 2019, Volume: 2 Issue: 1, 16 - 26, 02.08.2019

Zeyad M. Abdullah Marwan S. Jameel

Abstract

In this study, a comprehensive hybrid the formula was developed for some known algorithms of “Three-Term Conjugate
Gradient (TTCG) methods” for solving problems of unconstrained optimization by
combining the three most important vectors () in a new vector . In addition,
it is considered as a special case and as an alternative to the vector  in the general
versions of Yasushi, Yabe, and Ford. Global convergence, sufficient descend and
conjugacy were studied in the presence of strong Wolfe. The results proved the
efficiency of proposed algorithms than comparative algorithms using 35
nonlinear functions.

Keywords

Unconstrained Optimization Conjugate Gradient Global convergence

References

  • [1] L. Zhang, W. Zhou and D.H. Li, "A descent modified Polak-Ribi`ere-Polyak conjugate gradient method and its global convergence ", IMA Journal of Numerical Analysis, 26 (2006),629–640.
  • [2] L. Zhang, W. Zhou and D.H. Li, "Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search", Numerische Mathematik, 104 (2006),561–572.
  • [3] L. Zhang, W. Zhou and D.H. Li, Some descent three-term conjugate gradient methods and their global convergence, Optimization Methods and Software, 22 (2007), 697–711 .
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Zeyad M. Abdullah

Marwan S. Jameel This is me

Publication Date August 2, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Abdullah, Z. M., & Jameel, M. S. (2019). Three-Term Conjugate Gradient (TTCG) methods. Journal of Multidisciplinary Modeling and Optimization, 2(1), 16-26.
AMA Abdullah ZM, Jameel MS. Three-Term Conjugate Gradient (TTCG) methods. jmmo. August 2019;2(1):16-26.
Chicago Abdullah, Zeyad M., and Marwan S. Jameel. “Three-Term Conjugate Gradient (TTCG) Methods”. Journal of Multidisciplinary Modeling and Optimization 2, no. 1 (August 2019): 16-26.
EndNote Abdullah ZM, Jameel MS (August 1, 2019) Three-Term Conjugate Gradient (TTCG) methods. Journal of Multidisciplinary Modeling and Optimization 2 1 16–26.
IEEE Z. M. Abdullah and M. S. Jameel, “Three-Term Conjugate Gradient (TTCG) methods”, jmmo, vol. 2, no. 1, pp. 16–26, 2019.
ISNAD Abdullah, Zeyad M. - Jameel, Marwan S. “Three-Term Conjugate Gradient (TTCG) Methods”. Journal of Multidisciplinary Modeling and Optimization 2/1 (August 2019), 16-26.
JAMA Abdullah ZM, Jameel MS. Three-Term Conjugate Gradient (TTCG) methods. jmmo. 2019;2:16–26.
MLA Abdullah, Zeyad M. and Marwan S. Jameel. “Three-Term Conjugate Gradient (TTCG) Methods”. Journal of Multidisciplinary Modeling and Optimization, vol. 2, no. 1, 2019, pp. 16-26.
Vancouver Abdullah ZM, Jameel MS. Three-Term Conjugate Gradient (TTCG) methods. jmmo. 2019;2(1):16-2.
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