On the Levenberg-Marquardt methods for convex constrained nonlinear equations

Jinyan Fan;

doi:10.3934/jimo.2013.9.227

On the Levenberg-Marquardt methods for convex constrained nonlinear equations

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2013.9.227 ◽

2013 ◽

Vol 9 (1) ◽

pp. 227-241 ◽

Cited By ~ 6

Author(s):

Jinyan Fan ◽

Keyword(s):

Nonlinear Equations ◽

Levenberg Marquardt ◽

Constrained Nonlinear Equations

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On the global convergence of a Levenberg-Marquardt method for constrained nonlinear equations

Journal of Applied Mathematics and Computing ◽

10.1007/bf02936160 ◽

2004 ◽

Vol 16 (1-2) ◽

pp. 183-194 ◽

Cited By ~ 3

Author(s):

Zhensheng Yu

Keyword(s):

Global Convergence ◽

Nonlinear Equations ◽

Marquardt Method ◽

Levenberg Marquardt ◽

Constrained Nonlinear Equations

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Shamanskii-Like Levenberg-Marquardt Method with a New Line Search for Systems of Nonlinear Equations

Journal of Systems Science and Complexity ◽

10.1007/s11424-020-9043-x ◽

2020 ◽

Vol 33 (5) ◽

pp. 1694-1707

Author(s):

Liang Chen ◽

Yanfang Ma

Keyword(s):

Nonlinear Equations ◽

Line Search ◽

Systems Of Nonlinear Equations ◽

Marquardt Method ◽

Levenberg Marquardt

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A Derivative-Free Three-Term Hestenes-Stiefel Type Method for Constrained Nonlinear Equations and Image Restoration

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1946043 ◽

2021 ◽

pp. 1-22

Author(s):

Abdulkarim Hassan Ibrahim ◽

Poom Kumam ◽

Basim A. Hassan ◽

Auwal Bala Abubakar ◽

Jamilu Abubakar

Keyword(s):

Image Restoration ◽

Nonlinear Equations ◽

Type Method ◽

Derivative Free ◽

Constrained Nonlinear Equations

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An efficient gradient-free projection algorithm for constrained nonlinear equations and image restoration

AIMS Mathematics ◽

10.3934/math.2021016 ◽

2021 ◽

Vol 6 (1) ◽

pp. 235-260 ◽

Cited By ~ 1

Author(s):

Abdulkarim Hassan Ibrahim ◽

◽

Poom Kumam ◽

Auwal Bala Abubakar ◽

Umar Batsari Yusuf ◽

...

Keyword(s):

Image Restoration ◽

Nonlinear Equations ◽

Projection Algorithm ◽

Constrained Nonlinear Equations

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A Family of Derivative-Free Conjugate Gradient Methods for Constrained Nonlinear Equations and Image Restoration

IEEE Access ◽

10.1109/access.2020.3020969 ◽

2020 ◽

Vol 8 ◽

pp. 162714-162729 ◽

Cited By ~ 1

Author(s):

Abdulkarim Hassan Ibrahim ◽

Poom Kumam ◽

Wiyada Kumam

Keyword(s):

Image Restoration ◽

Nonlinear Equations ◽

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Derivative Free ◽

Constrained Nonlinear Equations

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Erratum to “Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints”

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.12.022 ◽

2005 ◽

Vol 177 (2) ◽

pp. 241 ◽

Cited By ~ 3

Author(s):

Christian Kanzow ◽

Nobuo Yamashita ◽

Masao Fukushima

Keyword(s):

Nonlinear Equations ◽

Local Convergence ◽

Convex Constraints ◽

Convergence Properties ◽

Levenberg Marquardt

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The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence

Mathematics of Computation ◽

10.1090/s0025-5718-2011-02496-8 ◽

2012 ◽

Vol 81 (277) ◽

pp. 447-466 ◽

Cited By ~ 41

Author(s):

Jinyan Fan

Keyword(s):

Nonlinear Equations ◽

Cubic Convergence ◽

Marquardt Method ◽

Levenberg Marquardt

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A modified Levenberg–Marquardt method with line search for nonlinear equations

Computational Optimization and Applications ◽

10.1007/s10589-016-9852-y ◽

2016 ◽

Vol 65 (3) ◽

pp. 753-779 ◽

Cited By ~ 5

Author(s):

Liang Chen

Keyword(s):

Nonlinear Equations ◽

Line Search ◽

Marquardt Method ◽

Levenberg Marquardt

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A Shamanskii-like Levenberg-Marquardt method for nonlinear equations

Computational Optimization and Applications ◽

10.1007/s10589-013-9549-4 ◽

2013 ◽

Vol 56 (1) ◽

pp. 63-80 ◽

Cited By ~ 7

Author(s):

Jinyan Fan

Keyword(s):

Nonlinear Equations ◽

Marquardt Method ◽

Levenberg Marquardt

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A high-order modified Levenberg–Marquardt method for systems of nonlinear equations with fourth-order convergence

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.03.031 ◽

2016 ◽

Vol 285 ◽

pp. 79-93 ◽

Cited By ~ 6

Author(s):

Liang Chen

Keyword(s):

Nonlinear Equations ◽

Fourth Order ◽

High Order ◽

Systems Of Nonlinear Equations ◽

Order Convergence ◽

Marquardt Method ◽

Levenberg Marquardt

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