GitHub

01_5.1.2._Basic_Properties_of_the_Conjugate_Gradient_Method.md

""" Lecture: 05._Conjugate_Gradient_Methods/5.1._The_Linear_Conjugate_Gradient_Method Content: 01_5.1.2._Basic_Properties_of_the_Conjugate_Gradient_Method """ ...
GitHub

03_5.2.4._Behavior_of_the_Fletcher–Reeves_Method.md

""" Lecture: 05._Conjugate_Gradient_Methods/5.2._Nonlinear_Conjugate_Gradient_Methods Content: 03_5.2.4._Behavior_of_the_Fletcher–Reeves_Method """ ...
IEEE

Restrictively preconditioned conjugate gradient methods for systems of linear equations

Abstract: A restrictively preconditioned conjugate gradient method is presented for solving a large sparse system of linear equations. This new method originates from the classical conjugate gradient ...
IEEE

A conjugate gradient method for solving unconstrained optimization problems

Abstract: For the conjugate gradient method to solve the unconstrained optimization problem, given a new interval method to obtain the direction parameters, and a new conjugate gradient algorithm is ...
Nature

An efficient three-term conjugate gradient algorithm with restart strategy and image restoration

where \(f:R^n \rightarrow R\) is continuously differentiable. There are many methods for solving (1) such as quasi-Newton methods, Levenberg-Marquardt (LM) methods, and trust region methods. However, ...
Nature

Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity

This paper introduces two three-term trust region conjugate gradient algorithms, TT-TR-WP and TT-TR-CG, which are capable of converging under non-Lipschitz continuous gradient functions without any ...