Convergence Analysis of Nonlinear Conjugate Gradient Methods

Optimization and Regularization for Computational Inverse Problems and Applications ◽

10.1007/978-3-642-13742-6_8 ◽

2010 ◽

pp. 157-181 ◽

Author(s):

Yuhong Dai

Keyword(s):

Convergence Analysis ◽

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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Nonlinear conjugate gradient methods for continuous-time output feedback design

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-012-0574-8 ◽

2012 ◽

Vol 40 (1-2) ◽

pp. 529-549 ◽

Author(s):

El-Sayed M. E. Mostafa

Keyword(s):

Conjugate Gradient ◽

Output Feedback ◽

Continuous Time ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Feedback Design ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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General Convergence Results for Nonlinear Conjugate Gradient Methods

Nonlinear Conjugate Gradient Methods for Unconstrained Optimization - Springer Optimization and Its Applications ◽

10.1007/978-3-030-42950-8_3 ◽

2020 ◽

pp. 89-123

Author(s):

Neculai Andrei

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Convergence Results ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods ◽

General Convergence

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Preconditioned Nonlinear Conjugate Gradient methods based on a modified secant equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.08.029 ◽

2018 ◽

Vol 318 ◽

pp. 196-214 ◽

Author(s):

Andrea Caliciotti ◽

Giovanni Fasano ◽

Massimo Roma

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Secant Equation ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods ◽

Modified Secant Equation

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A survey on update parameters of nonlinear conjugate gradient methods

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2021.116690 ◽

2021 ◽

Vol 11 (3) ◽

pp. 292

Author(s):

Nirmaly Kumar Mohanty ◽

Rupaj Kumar Nayak

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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Two Improved Nonlinear Conjugate Gradient Methods with the Strong Wolfe Line Search

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-021-00647-y ◽

2021 ◽

Author(s):

Jinbao Jian ◽

Pengjie Liu ◽

Xianzhen Jiang ◽

Bo He

Keyword(s):

Conjugate Gradient ◽

Line Search ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Strong Wolfe Line Search ◽

Wolfe Line Search ◽

Nonlinear Conjugate Gradient Methods

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Convergence Properties of Nonlinear Conjugate Gradient Methods

SIAM Journal on Optimization ◽

10.1137/s1052623494268443 ◽

2000 ◽

Vol 10 (2) ◽

pp. 345-358 ◽

Author(s):

Yuhong Dai ◽

Jiye Han ◽

Guanghui Liu ◽

Defeng Sun ◽

Hongxia Yin ◽

...

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Convergence Properties ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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Global convergence of some modified PRP nonlinear conjugate gradient methods

Optimization Letters ◽

10.1007/s11590-010-0224-8 ◽

2010 ◽

Vol 5 (4) ◽

pp. 615-630 ◽

Author(s):

Zhi-feng Dai ◽

Bo-Shi Tian

Keyword(s):

Global Convergence ◽

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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A three-parameter family of nonlinear conjugate gradient methods

Mathematics of Computation ◽

10.1090/s0025-5718-00-01253-9 ◽

2000 ◽

Vol 70 (235) ◽

pp. 1155-1168 ◽

Author(s):

Y. H. Dai ◽

Y. Yuan

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Parameter Family ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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Multi-step nonlinear conjugate gradient methods for unconstrained minimization

Computational Optimization and Applications ◽

10.1007/s10589-007-9087-z ◽

2007 ◽

Vol 40 (2) ◽

pp. 191-216 ◽

Author(s):

John A. Ford ◽

Yasushi Narushima ◽

Hiroshi Yabe

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Unconstrained Minimization ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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On the Order of Convergence of Preconditioned Nonlinear Conjugate Gradient Methods

SIAM Journal on Scientific Computing ◽

10.1137/s1064827591194303 ◽

1996 ◽

Vol 17 (3) ◽

pp. 658-665 ◽

Author(s):

M. Al-Baali ◽

R. Fletcher

Keyword(s):

Conjugate Gradient ◽

Order Of Convergence ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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