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Nonlinear conjugate gradient method for spectral tomosynthesis [PDF]
Inverse Problems, 2019 Image reconstruction in spectral digital breast tomosynthesis (DBT) requires solving a large-scale nonlinear inverse problem. Most numerical approaches on real data used a simplified linear (and hence incorrect) mathematical model to reduce the ...
G. Landi +2 more
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Nonlinear Conjugate Gradient Methods with Wolfe Type Line Search [PDF]
Abstract and Applied Analysis, 2013 Nonlinear conjugate gradient method is one of the useful methods for unconstrained optimization problems. In this paper, we consider three kinds of nonlinear conjugate gradient methods with Wolfe type line search for unstrained optimization problems ...
Yuan-Yuan Chen, Shou-Qiang Du
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A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods [PDF]
Abstract and Applied Analysis, 2014 The conjugate gradient method is an efficient method for solving large-scale nonlinear optimization problems. In this paper, we propose a nonlinear conjugate gradient method which can be considered as a hybrid of DL and WYL conjugate gradient methods ...
Shengwei Yao, Bin Qin
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A Conjugate Gradient Method with Global Convergence for Large-Scale Unconstrained Optimization Problems [PDF]
Journal of Applied Mathematics, 2013 The conjugate gradient (CG) method has played a special role in solving large-scale nonlinear optimization problems due to the simplicity of their very low memory requirements.
Shengwei Yao, Xiwen Lu, Zengxin Wei
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Mathematics, 2019 In this article, we propose a modified self-adaptive conjugate gradient algorithm for handling nonlinear monotone equations with the constraints being convex. Under some nice conditions, the global convergence of the method was established.
Auwal Bala Abubakar +3 more
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Conjugate Gradient Method for Solving System of Nonlinear Equations [PDF]
, 2005 In this thesis, the conjugate gradient method will be extended to solve symmetric and non-symmetric nonlinear equations. Several variations of the conjugate gradient method are introduced and investigated.
Honrao, Abhijit Prakash
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Modification of Nonlinear Conjugate Gradient Method with Weak Wolfe-Powell Line Search
Abstract and Applied Analysis, 2017 Conjugate gradient (CG) method is used to find the optimum solution for the large scale unconstrained optimization problems. Based on its simple algorithm, low memory requirement, and the speed of obtaining the solution, this method is widely used in ...
Ahmad Alhawarat, Zabidin Salleh
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The sufficient descent condition of nonlinear conjugate gradient method [PDF]
International Journal of Engineering & Technology, 2018 Non-linear conjugate gradient methods has been widely used instrumental in solving large scale optimization. These methods has been proved that only required very low memory other than its numerical efficiency.
Basri, Sri Mazzura +2 more
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Mathematical Modelling and Analysis, 2019 A new three-term conjugate gradient-based projection method is presented in this paper for solving large-scale nonlinear monotone equations. This method is derivative-free and it is suitable for solving large-scale nonlinear monotone equations due to its
Mompati Koorapetse, Professor Kaelo
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Nonlinear conjugate gradient methods in micromagnetics [PDF]
AIP Advances, 2017 Conjugate gradient methods for energy minimization in micromagnetics are compared. The comparison of analytic results with numerical simulation shows that standard conjugate gradient method may fail to produce correct results. A method that restricts the step length in the line search is introduced, in order to avoid this problem.
Johann Fischbacher +11 more
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