General Letters in Mathematics

Related Articles ( Sufficient Descent )

A new class of three-term conjugate gradient methods for solving unconstrained minimization problems

Alaa Luqman Ibrahim , Salah Gazi Shareef

Conjugate gradient (CG) methods which are usually generate descent search directions, are beneficial for large-scale unconstrained optimization models, because of its low memory requirement and simplicity. This paper studies the three-term CG method for unconstrained optimization. The modified a three-term ...

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A New conjugate gradient method for unconstrained optimization problems with descent property

Hussein Ageel Khatab , Salah Gazi Shareef

In this paper, we propose a new conjugate gradient method for solving nonlinear unconstrained optimization. The new method consists of three parts, the first part of them is the parameter of Hestenes-Stiefel (HS). The proposed method is satisfying the descent condition, sufficient descent condition and ...

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Global convergence of new three terms conjugate gradient for unconstrained optimization

Ahmed Anwer Mustafa , Salah Gazi Shareef

n this paper, a new formula of 𝛽𝑘 is suggested for the conjugate gradient method of solving unconstrained optimization problems based on three terms and step size of cubic. Our new proposed CG method has descent condition, sufficient descent condition, conjugacy condition, and global convergence properties. ...

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Conjugated Gradient with Four Terms for Nonlinear Unconstrained Optimization

Ahmed Anwer Mustafa

The nonlinear conjugate gradient (GJG) technique is an effective tool for addressing minimization on a huge scale. It can be used in a variety of applications., We presented a novel conjugate gradient approach based on two hypotheses, and we equalized the two hypotheses and retrieved the good parameter ...

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