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AL-Rafidain Journal of Computer Sciences and Mathematics

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A New Formula for Conjugate Gradient in Unconstrained Optimization

    Hussein A. Wali Khalil K. Abbo

AL-Rafidain Journal of Computer Sciences and Mathematics, 2020, Volume 14, Issue 1, Pages 41-52
10.33899/csmj.2020.164798

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Abstract

The conjugate gradient method is an important part of the methods of optimization that are not constrained by local convergence characteristics. In this research, a new formula for the conjugated coefficient is derived depending on the linear structure. The new method fulfills the regression requirement. In addition, using the Wolff search line terms, the overall convergence of the new method has been demonstrated. At the end of the research were presented numerical results that show the effectiveness of the proposed method.
 
Keywords:
    unconstrained Optimization conjugate gradient method sufficient descent property
Main Subjects:
  • Mathematics
  • Optimization
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(2020). A New Formula for Conjugate Gradient in Unconstrained Optimization. AL-Rafidain Journal of Computer Sciences and Mathematics, 14(1), 41-52. doi: 10.33899/csmj.2020.164798
Hussein A. Wali; Khalil K. Abbo. "A New Formula for Conjugate Gradient in Unconstrained Optimization". AL-Rafidain Journal of Computer Sciences and Mathematics, 14, 1, 2020, 41-52. doi: 10.33899/csmj.2020.164798
(2020). 'A New Formula for Conjugate Gradient in Unconstrained Optimization', AL-Rafidain Journal of Computer Sciences and Mathematics, 14(1), pp. 41-52. doi: 10.33899/csmj.2020.164798
A New Formula for Conjugate Gradient in Unconstrained Optimization. AL-Rafidain Journal of Computer Sciences and Mathematics, 2020; 14(1): 41-52. doi: 10.33899/csmj.2020.164798
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