Trust Region Method; Global Con-vergence; Symmetric Nonlinear Equations - Articles

A nonmonotone adaptive trust-region algorithm for symmetric nonlinear equations (Articles)

Gong-Lin Yuan, Cui-Ling Chen, Zeng-Xin Wei

Natural Science Vol.2 No.4, May 7, 2010

DOI: 10.4236/ns.2010.24045 5,890 Downloads 10,959 Views Citations
A Non-Monotone Trust Region Method with Non-Monotone Wolfe-Type Line Search Strategy for Unconstrained Optimization (Articles)

Changyuan Li, Qinghua Zhou, Xiao Wu

Journal of Applied Mathematics and Physics Vol.3 No.6, June 30, 2015

DOI: 10.4236/jamp.2015.36084 3,031 Downloads 4,242 Views Citations
A New Nonmonotone Adaptive Trust Region Method (Articles)

Yang Zhang, Quanming Ji, Qinghua Zhou

Journal of Applied Mathematics and Physics Vol.9 No.12, December 23, 2021

DOI: 10.4236/jamp.2021.912202 402 Downloads 1,562 Views Citations
A New Technique for Estimating the Lower Bound of the Trust-Region Subproblem (Articles)

Xinlong Luo

Applied Mathematics Vol.2 No.4, March 31, 2011

DOI: 10.4236/am.2011.24052 6,557 Downloads 10,558 Views Citations
A Nonmonotone Line Search Method for Symmetric Nonlinear Equations (Articles)

Gonglin Yuan, Laisheng Yu

Intelligent Control and Automation Vol.1 No.1, August 27, 2010

DOI: 10.4236/ica.2010.11004 5,258 Downloads 8,043 Views Citations
Elastic Full Waveform Inversion Based on the Trust Region Strategy (Articles)

Wensheng Zhang, Yijun Li

American Journal of Computational Mathematics Vol.11 No.4, November 15, 2021

DOI: 10.4236/ajcm.2021.114016 569 Downloads 2,000 Views Citations
A Retrospective Filter Trust Region Algorithm for Unconstrained Optimization (Articles)

Yue Lu, Zhongwen Chen

Applied Mathematics Vol.1 No.3, September 29, 2010

DOI: 10.4236/am.2010.13022 6,100 Downloads 10,751 Views Citations
Expanding the Tanh-Function Method for Solving Nonlinear Equations (Articles)

Nassar Hassan Abdel-Aal, Mohamed Abdullah Abdel-Razek, Abdullah Kamel Seddeek

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29151 7,515 Downloads 15,139 Views Citations
New Modification of Fixed Point Iterative Method for Solving Nonlinear Equations (Articles)

Muhammad Saqib, Muhammad Iqbal, Shahzad Ahmed, Shahid Ali, Tariq Ismaeel

Applied Mathematics Vol.6 No.11, October 22, 2015

DOI: 10.4236/am.2015.611163 6,390 Downloads 9,322 Views Citations
The Solutions for the Eco-Epidemic Model with Homotopy Analysis Method (Articles)

Xiurong Chen

Engineering Vol.5 No.10B, December 17, 2013

DOI: 10.4236/eng.2013.510B091 4,270 Downloads 6,056 Views Citations
A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations (Articles)

Gonglin YUAN, Zhongxing WANG, Zengxin WEI

International Journal of Communications, Network and System Sciences Vol.2 No.6, September 22, 2009

DOI: 10.4236/ijcns.2009.26061 5,843 Downloads 10,749 Views Citations
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM) (Articles)

Maryam Al-Mazmumy, Safa O. Almuhalbedi

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, December 16, 2016

DOI: 10.4236/ijmnta.2016.54022 2,049 Downloads 4,684 Views Citations
A Regularized Newton Method with Correction for Unconstrained Convex Optimization (Articles)

Liming Li, Mei Qin, Heng Wang

Open Journal of Optimization Vol.5 No.1, March 15, 2016

DOI: 10.4236/ojop.2016.51006 3,058 Downloads 4,699 Views Citations
Damage Identification under Incomplete Mode Shape Data Using Optimization Technique Based on Generalized Flexibility Matrix (Articles)

Qianhui Gao, Zhu Li, Yongping Yu, Shaopeng Zheng

Journal of Applied Mathematics and Physics Vol.11 No.12, December 25, 2023

DOI: 10.4236/jamp.2023.1112246 208 Downloads 680 Views Citations
Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel (Articles)

A. M. Al-Bugami, J. G. Al-Juaid

Journal of Applied Mathematics and Physics Vol.8 No.9, September 30, 2020

DOI: 10.4236/jamp.2020.89152 851 Downloads 2,446 Views Citations
Existence of a Sigh-Changing Solution Result for Logarithmic Schrödinger Equations with Weight Function (Articles)

Jingxing Huang, Junhui Xie

Journal of Applied Mathematics and Physics Vol.12 No.7, July 30, 2024

DOI: 10.4236/jamp.2024.127158 154 Downloads 499 Views Citations
Global Stability in Dynamical Systems with Multiple Feedback Mechanisms (Articles)

Morten Andersen, Frank Vinther, Johnny T. Ottesen

Advances in Pure Mathematics Vol.6 No.5, April 26, 2016

DOI: 10.4236/apm.2016.65027 2,443 Downloads 3,621 Views Citations
This article belongs to the Special Issue on Mathematical Modeling and Its Applications
A New Family of Nonlinear Fifth-Order Solvers for Finding Simple Roots (Articles)

Behzad Ghanbari

Applied Mathematics Vol.3 No.6, June 26, 2012

DOI: 10.4236/am.2012.36088 4,288 Downloads 7,510 Views Citations
Exact Solutions to the Generalized Benjamin Equation (Articles)

Hua Gao, Genhu Di

Journal of Applied Mathematics and Physics Vol.2 No.7, June 20, 2014

DOI: 10.4236/jamp.2014.27074 3,240 Downloads 5,283 Views Citations
Programming First Integral Method General Formula for the Solving Linear and Nonlinear Equations (Articles)

Mohamed A. Abdoon

Applied Mathematics Vol.6 No.3, March 17, 2015

DOI: 10.4236/am.2015.63051 6,615 Downloads 8,377 Views Citations

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