Nonlinear conjugate gradient method

Known as: Fletcher–Reeves, Nonlinear conjugate gradient, Gradient (disambiguation) 
In numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradient method to nonlinear optimization. For a… (More)
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Broyden–Fletcher–Goldfarb–Shanno algorithmConjugate gradient methodGradientGradient method
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Papers overview

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2015
2015
A Modified Conjugacy Condition and Related Nonlinear Conjugate Gradient Method
The conjugate gradient (CG) method has played a special role in solving large-scale nonlinear optimization problems due to the… (More)
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2014
2014
Nonlinear Conjugate Gradient Methods with Wolfe Type Line Search
and Applied Analysis 3 = ‖d k−1 ‖2 ‖g k−1 ‖4 + 1 ‖g k ‖2 − β2 k (gT k d k−1 ) 2 /‖g k ‖4 
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2010
2010
Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
Image restoration problems are often converted into large-scale, nonsmooth and nonconvex optimization problems. Most existing… (More)
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Highly Cited
2006
Highly Cited
2006
Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent
Recently, a new nonlinear conjugate gradient scheme was developed which satisfies the descent condition <b>g</b><sup>T</sup><sub… (More)
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Highly Cited
2005
Highly Cited
2005
A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
A new nonlinear conjugate gradient method and an associated implementation, based on an inexact line search, are proposed and… (More)
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Review
2005
Review
2005
A SURVEY OF NONLINEAR CONJUGATE GRADIENT METHODS
This paper reviews the development of different versions of nonlinear conjugate gradient methods, with special attention given to… (More)
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2005
2005
A NEW NONLINEAR CONJUGATE GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION
Conjugate gradient methods are widely used for large scale unconstrained optimization problems. Most of conjugate gradient… (More)
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Highly Cited
2000
Highly Cited
2000
Convergence Properties of Nonlinear Conjugate Gradient Methods
Recently, important contributions on convergence studies of conjugate gradient methods have been made by Gilbert and Nocedal [6… (More)
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Highly Cited
1999
Highly Cited
1999
A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
Conjugate gradient methods are widely used for unconstrained optimization, especially large scale problems. However, the strong… (More)
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Highly Cited
1994
Highly Cited
1994
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
The Conjugate Gradient Method is the most prominent iterative method for solving sparse systems of linear equations… (More)
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