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Nonmonotone conjugate gradient methods for optimization
1994In this paper conjugate gradient methods with nonmonotone line search technique are introduced. This new line search technique is based on a relaxation of the strong Wolfe conditions and it allows to accept larger steps. The proposed conjugate gradient methods are still globally convergent and, at the same time, they should not suffer the propensity ...
LUCIDI, Stefano, ROMA, Massimo
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Conjugate Gradient Methods with Inexact Searches
Mathematics of Operations Research, 1978Conjugate gradient methods are iterative methods for finding the minimizer of a scalar function f(x) of a vector variable x which do not update an approximation to the inverse Hessian matrix. This paper examines the effects of inexact linear searches on the methods and shows how the traditional Fletcher-Reeves and Polak-Ribiere algorithm may be ...
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Accelerated conjugate gradient method
An accelerated conjugate gradient method for the solution of operator equations is proposed. The convergence of the method is proved, its convergence rate is investigated, and results from numerical experiments are discussed. Also, a scheme for parallel computations is proposed.Luchka, A. Yu. +3 more
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On the extension of the Hager–Zhang conjugate gradient method for vector optimization
Computational optimization and applications, 2019M. Gonçalves, L. F. Prudente
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Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization
Computational optimization and applicationsQingjie Hu, Liping Zhu, Yu Chen
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A Modified Spectral Conjugate Gradient Method with Global Convergence
Journal of Optimization Theory and Applications, 2019Parvaneh Faramarzi, K. Amini
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A descent Dai-Liao conjugate gradient method for nonlinear equations
Numerical Algorithms, 2019A. Abubakar, Poom Kumam
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