AIMS Mathematics, 2021 Many problems in engineering and social sciences can be transformed into system of nonlinear equations. As a result, a lot of methods have been proposed for solving the system.
Sani Aji +4 more
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A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization [PDF]
المجلة العراقية للعلوم الاحصائية, 2014 In this paper, a new conjugate gradient method based on exact step size which produces sufficient descent search direction at every iteration is introduced. We prove its global convergence, and give some results to illustrate its efficiency by comparing
Dr. Basim A. Hassan, Omer M. Esmaeel
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A Penalized Linear and Nonlinear Combined Conjugate Gradient Method for the Reconstruction of Fluorescence Molecular Tomography [PDF]
International Journal of Biomedical Imaging, 2007 Conjugate gradient method is verified to be efficient for nonlinear optimization problems of large-dimension data. In this paper, a penalized linear and nonlinear combined conjugate gradient method for the reconstruction of fluorescence molecular ...
Shang Shang +4 more
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Derivative-free SMR conjugate gradient method for constraint nonlinear equations
Journal of Mathematics and Computer Science, 2021 Based on the SMR conjugate gradient method for unconstrained optimization proposed by Mohamed et al. [N. S. Mohamed, M. Mamat, M. Rivaie, S. M. Shaharuddin, Indones. J. Electr. Eng. Comput.
Abdulkarim Hassan Ibrahim +3 more
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Mathematics, 2019 One of the fastest growing and efficient methods for solving the unconstrained minimization problem is the conjugate gradient method (CG). Recently, considerable efforts have been made to extend the CG method for solving monotone nonlinear equations.
Auwal Bala Abubakar +4 more
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A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations [PDF]
Complexity, 2020 The conjugate gradient projection method is one of the most effective methods for solving large-scale monotone nonlinear equations with convex constraints.
Pengjie Liu, Jinbao Jian, Xianzhen Jiang
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A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems [PDF]
, 2020 A new hybrid PRPFR conjugate gradient method is presented in this paper, which is designed such that it owns sufficient descent property and trust region property.
Yingjie Zhou, Yulun Wu, Xiangrong Li
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A fast spectral conjugate gradient method for solving nonlinear optimization problems
, 2021 This paper proposes a new spectral conjugate gradient (SCG) approach for solving unregulated nonlinear optimization problems. Our approach proposes Using Wolfe's rapid line scan to adjust the standard conjugate descent (CD) algorithm.
Ali A. Al-Arbo, Rana Z. Al-Kawaz
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A Modified Nonlinear Conjugate Gradient Method for Engineering Computation [PDF]
, 2017 A general criterion for the global convergence of the nonlinear conjugate gradient method is established, based on which the global convergence of a new modified three-parameter nonlinear conjugate gradient method is proved under some mild conditions.
Tiefeng Zhu, Zaizai Yan, Xiuyun Peng
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A New Nonlinear Conjugate Gradient Method Based on the Scaled Matrix
Al-Mustansiriyah Journal of Science, 2017 In this paper, a new type nonlinear conjugate gradient method based on the Scale Matrix is derived. The new method has the decent and globally convergent properties under some assumptions. Numerical results indicate the efficiency of this method to solve
Basim A. Hassan, Haneen A. Alashoor
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