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A Nonlinear Conjugate Gradient Method Using Inexact First-Order Information
Journal of Optimization Theory and Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiantian Zhao, Wei Hong Yang
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Multi-step nonlinear conjugate gradient methods for unconstrained minimization
Computational Optimization and Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ford, John A +2 more
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A hybrid nonlinear conjugate gradient method
Lobachevskii Journal of Mathematics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New Conjugacy Conditions and Related Nonlinear Conjugate Gradient Methods
Applied Mathematics & Optimization, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dai, Y.-H., Liao, L.-Z.
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Scaled nonlinear conjugate gradient methods for nonlinear least squares problems
Numerical Algorithms, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Dehghani, N. Mahdavi-Amiri
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A Nonmonotone Conjugate Gradient Method for Nonlinear Optimization
2010 Third International Joint Conference on Computational Science and Optimization, 2010In this paper, a no monotone conjugate gradient method for nonlinear optimization is proposed. Under weaker assumption on search direction dk and the mild assumptions on objective function f, the global convergence of the method is established.
Ying Song, Liying Liu
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Improved conjugate gradient method for nonlinear system of equations
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Yusuf Waziri +2 more
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New properties of a nonlinear conjugate gradient method
Numerische Mathematik, 2001This paper provides several new properties of the nonlinear conjugate gradient method in by \textit{Y. H. Dai} and \textit{Y. Yuan} [SIAM J. Optim. 10, No.~1, 177-182 (1999; Zbl 0957.65061)]. Firstly , the method is proved to have a certain self adjusting property that is independent of the line search and the function convexity .
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Convergence Analysis of Nonlinear Conjugate Gradient Methods
2010Conjugate gradient methods are a class of important methods for unconstrained optimization and vary only with a scalar β k . In this chapter, we analyze general conjugate gradient method using the Wolfe line search and propose a condition on the scalar β k , which is sufficient for the global convergence.
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On nonlinear generalized conjugate gradient methods
1992Item does not contain ...
Axelsson, A.O.H., Chronopoulos, A.T.
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