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International Journal of Computer Mathematics Volume 87, 2010 - Issue 14
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Section B

A modified trust region algorithm for nonlinear equations with new updating rule of trust region radius

Jinyan Fan Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China; Division of Computational Science, E-Institute of Shanghai Universities at SJTU, ChinaCorrespondence[email protected]
&
Jianyu Pan Department of Mathematics, East China Normal University, Shanghai, China
Pages 3186-3195 | Received 03 Jul 2008, Accepted 15 Dec 2008, Published online: 27 Oct 2010

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Read on this site (5)

Morteza Kimiaei. (2018) Nonmonotone Self-adaptive Levenberg–Marquardt Approach for Solving Systems of Nonlinear Equations. Numerical Functional Analysis and Optimization 39:1, pages 47-66.
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Jinyan Fan & Na Lu. (2015) On the modified trust region algorithm for nonlinear equations. Optimization Methods and Software 30:3, pages 478-491.
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Hamid Esmaeili & Morteza Kimiaei. (2015) An efficient adaptive trust-region method for systems of nonlinear equations. International Journal of Computer Mathematics 92:1, pages 151-166.
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Masoud Ahookhosh, Hamid Esmaeili & Morteza Kimiaei. (2013) An effective trust-region-based approach for symmetric nonlinear systems. International Journal of Computer Mathematics 90:3, pages 671-690.
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Philippe L. Toint. (2013) Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization. Optimization Methods and Software 28:1, pages 82-95.
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Articles from other publishers (10)

Meilan Zeng & Guanghui Zhou. (2021) Improved convergence results of an efficient Levenberg–Marquardt method for nonlinear equations. Journal of Applied Mathematics and Computing 68:6, pages 3655-3671.
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Morteza Kimiaei & Arnold Neumaier. (2021) A new limited memory method for unconstrained nonlinear least squares. Soft Computing 26:2, pages 465-490.
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Morteza Kimiaei & Farzad Rahpeymaii. (2019) A new nonmonotone line-search trust-region approach for nonlinear systems. TOP 27:2, pages 199-232.
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Farzad Rahpeymaii. (2019) An efficient conjugate gradient trust-region approach for systems of nonlinear equation. Afrika Matematika 30:3-4, pages 597-609.
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Morteza Kimiaei. (2016) A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints. Calcolo 54:3, pages 769-812.
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Morteza Kimiaei & Hamid Esmaeili. (2016) A trust-region approach with novel filter adaptive radius for system of nonlinear equations. Numerical Algorithms 73:4, pages 999-1016.
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Keyvan Amini, Mushtak A. K. Shiker & Morteza Kimiaei. (2016) A line search trust-region algorithm with nonmonotone adaptive radius for a system of nonlinear equations. 4OR 14:2, pages 133-152.
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S. Bellavia, B. Morini & E. Riccietti. (2015) On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation. Computational Optimization and Applications 64:1, pages 1-30.
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Hamid Esmaeili & Morteza Kimiaei. (2015) A trust-region method with improved adaptive radius for systems of nonlinear equations. Mathematical Methods of Operations Research 83:1, pages 109-125.
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Hamid Esmaeili & Morteza Kimiaei. (2014) A new adaptive trust-region method for system of nonlinear equations. Applied Mathematical Modelling 38:11-12, pages 3003-3015.
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