International Journal of All Research Education & Scientific Methods

An ISO Certified Peer-Reviewed Journal

ISSN: 2455-6211

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Extended Spectral Nonlinear Conjugate Gradien...

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Extended Spectral Nonlinear Conjugate Gradien...

Extended Spectral Nonlinear Conjugate Gradient methods for solving unconstrained problems

Author Name : Dr. Basim A. Hassan

ABSTRACT: In this paper, we present extension forms of Dai, Yuan (DY), Fletcher, Reveres (FR) and Conjugate Descent (CD) CG algorithms. The extended method have the sufficient descent and globally convergence properties under certain conditions. These new algorithms are tested on some standard test functions and compared with the original FR algorithm showing considerable improvements over all these comparisons.