Improved convergence results for a modified Levenberg–Marquardt method for nonlinear equations and applications in MPCC-Reference-Cited by-同舟云学术

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Improved convergence results for a modified Levenberg–Marquardt method for nonlinear equations and applications in MPCC

Published:2016-04-14 Issue:4 Volume:31 Page:791-804
ISSN:1055-6788
Container-title:Optimization Methods and Software
language:en
Short-container-title:Optimization Methods and Software

Author:

Zhu Xide,Lin Gui-Hua

Funder

National Natural Science Foundation of China

the Humanity and Social Science Foundation of Ministry of Education of China

Innovation Program of Shanghai Municipal Education Commission

Publisher

Informa UK Limited

Subject

Applied Mathematics,Control and Optimization,Software

Link

http://www.tandfonline.com/doi/pdf/10.1080/10556788.2016.1171863

Reference9 articles.

1. On the Quadratic Convergence of the Levenberg-Marquardt Method without Nonsingularity Assumption

2. Local Convergence of SQP Methods for Mathematical Programs with Equilibrium Constraints

3. Solving Mathematical Programs with Equilibrium Constraints

4. Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints

5. A method for the solution of certain non-linear problems in least squares

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1. An accelerated adaptive two-step Levenberg–Marquardt method with the modified Metropolis criterion;AIMS Mathematics;2024

2. A modified inexact Levenberg–Marquardt method with the descent property for solving nonlinear equations;Computational Optimization and Applications;2023-07-31

3. A New Modified Levenberg–Marquardt Method for Systems of Nonlinear Equations;Journal of Mathematics;2023-02-10

4. Long-Term Bidding Scheduling of a Price-Maker Cascade Hydropower Station Based on Supply Function Equilibrium;Mathematical Problems in Engineering;2022-04-16

5. Convergence rate of the modified Levenberg-Marquardt method under Hölderian local error bound;Open Mathematics;2022-01-01

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