Convergence of the descent nonlinear conjugate gradient methods
Zhengda Huang
Abstract
Zhengda Huang
Abstract
Conjugate gradient methods are typically used to solve large scale unconstrained optimization problems. Two descent conjugate gradient methods are proposed,and the global convergence with standard Wolfe conditions is proved. The numerical results show that the methods are efficient for the given test problems.
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Conjugate gradient methods are typically used to solve large scale unconstrained optimization problems. Two descent conjugate gradient methods are proposed,and the global convergence with standard Wolfe conditions is proved. The numerical results show that the methods are efficient for the given test problems.
Key concepts: Nonlinear conjugate gradient method, Conjugate gradient method, Derivation of the conjugate gradient method, Conjugate residual method, Gradient descent, Convergence (economics), Gradient method, Mathematics