Two-versions of descent conjugate gradient methods for large-scale unconstrained optimization

The conjugate gradient methods are noted to be exceedingly valuable for solving large-scale unconstrained optimization problems since it needn't the storage of matrices. Mostly the parameter conjugate is the focus for conjugate gradient methods. The current paper proposes new methods of paramet...

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Main Authors: Jabbar, Hawraz N. (Author), Hassan, Basim A. (Author)
Format: EJournal Article
Published: Institute of Advanced Engineering and Science, 2021-06-01.
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LEADER 02072 am a22003013u 4500
001 ijeecs24780_15142
042 |a dc 
100 1 0 |a Jabbar, Hawraz N.  |e author 
100 1 0 |e contributor 
700 1 0 |a Hassan, Basim A.  |e author 
245 0 0 |a Two-versions of descent conjugate gradient methods for large-scale unconstrained optimization 
260 |b Institute of Advanced Engineering and Science,   |c 2021-06-01. 
500 |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/24780 
520 |a The conjugate gradient methods are noted to be exceedingly valuable for solving large-scale unconstrained optimization problems since it needn't the storage of matrices. Mostly the parameter conjugate is the focus for conjugate gradient methods. The current paper proposes new methods of parameter of conjugate gradient type to solve problems of large-scale unconstrained optimization. A Hessian approximation in a diagonal matrix form on the basis of second and third-order Taylor series expansion was employed in this study. The sufficient descent property for the proposed algorithm are proved. The new method was converged globally. This new algorithm is found to be competitive to the algorithm of fletcher-reeves (FR) in a number of numerical experiments. 
540 |a Copyright (c) 2021 Institute of Advanced Engineering and Science 
540 |a http://creativecommons.org/licenses/by-nc/4.0 
546 |a eng 
690
690 |a global convergence property; numerical experiments; unconstrained optimizations; versions of conjugate gradient; 
655 7 |a info:eu-repo/semantics/article  |2 local 
655 7 |a info:eu-repo/semantics/publishedVersion  |2 local 
655 7 |2 local 
786 0 |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 22, No 3: June 2021; 1643-1649 
786 0 |n 2502-4760 
786 0 |n 2502-4752 
786 0 |n 10.11591/ijeecs.v22.i3 
787 0 |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/24780/15142 
856 4 1 |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/24780/15142  |z Get fulltext