Global convergence of a new class nonlinear conjugate gradient method with exact line search

Dani, Nur Haziqah Mohd; Basri, Srimazzura; Mamat, Mustafa

doi:10.1063/5.0053215

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Conjugate Gradient (Cg) Methods With the Constrained Problem1

Convergence Analysis Of the New Proposed Methods1

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2022

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(2 citation statements)

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“…Different CG modes are adopted by different and multiple choices of z k . Scientists have conducted many studies in [8][9][10][11][12][13][14][15][16][17][18][19][20], letting g T k+1 � ∇ALM T k+1 . e standard Wolfe conditions are…”

Section: Conjugate Gradient (Cg) Methods With the Constrained Problemmentioning

confidence: 99%

See 1 more Smart Citation

A Method of Two New Augmented Lagrange Multiplier Versions for Solving Constrained Problems

Chilmeran

Hamed

Ahmed

et al. 2022

International Journal of Mathematics and Mathematical Sciences

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One of the more restrictive methods of improvement is the augmented Lagrange method. Two versions are built in the external framework and the internal framework of the proposed method. The first basic version of the proposed algorithm includes a new derivation of Lagrange multiples and different penalty criteria, and the second version is the internal framework in which the unconstrained algorithm known as the conjugate gradient (CG) method was incorporated; also, a new parameter was derived in the search direction. The numerical results are indicative of the stability, efficiency, and speed of the proposed algorithm, based on performance profiles provided by Dolan and More.

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Section: Conjugate Gradient (Cg) Methods With the Constrained Problemmentioning

confidence: 99%

“…Affinity analysis is performed for new method (20), based on inexact line research given by Wolfe line search. We shall also show that the CG coefficients achieve appropriate ratio conditions and global convergence characteristics.…”

Section: Convergence Analysis Of the New Proposed Methodsmentioning

confidence: 99%