A superlinearly convergent ODE-type trust region algorithm for nonsmooth nonlinear equations

2006 ◽  
Vol 22 (3) ◽  
pp. 371-380 ◽  
Author(s):  
Ou Yigui
Keyword(s):  
Nonlinear Equations ◽  
Trust Region ◽  
Trust Region Algorithm

scholarly journals A nonmonotone adaptive trust-region algorithm for symmetric nonlinear equations

2010 ◽  
Vol 02 (04) ◽  
pp. 373-378
Author(s):  
Gong-Lin Yuan ◽  
Cui-Ling Chen ◽  
Zeng-Xin Wei
Keyword(s):  
Nonlinear Equations ◽  
Trust Region ◽  
Trust Region Algorithm

A line search trust-region algorithm with nonmonotone adaptive radius for a system of nonlinear equations

4OR ◽  
2016 ◽  
Vol 14 (2) ◽  
pp. 133-152 ◽  
Author(s):  
Keyvan Amini ◽  
Mushtak A. K. Shiker ◽  
Morteza Kimiaei
Keyword(s):  
Nonlinear Equations ◽  
Line Search ◽  
Trust Region ◽  
System Of Nonlinear Equations ◽  
Trust Region Algorithm ◽  
Adaptive Radius

scholarly journals A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Zhou Sheng ◽  
Dan Luo
Keyword(s):  
Global Convergence ◽  
Nonlinear Equations ◽  
Large Scale ◽  
Convex Combination ◽  
Trust Region ◽  
Numerical Results ◽  
The Other ◽  
Search Direction ◽  
Trust Region Algorithm ◽  
Descent Property

In this paper, a Cauchy point direction trust region algorithm is presented to solve nonlinear equations. The search direction is an optimal convex combination of the trust region direction and the Cauchy point direction with the sufficiently descent property and the automatic trust region property. The global convergence of the proposed algorithm is proven under some conditions. The preliminary numerical results demonstrate that the proposed algorithm is promising and has better convergence behaviors than the other two existing algorithms for solving large-scale nonlinear equations.

scholarly journals Modeling and Fault Diagnosis of Interturn Short Circuit for Five-Phase Permanent Magnet Synchronous Motor

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Jian-wei Yang ◽  
Man-feng Dou ◽  
Zhi-yong Dai
Keyword(s):  
Parameter Estimation ◽  
Fault Diagnosis ◽  
Permanent Magnet ◽  
Fault Tolerant ◽  
Short Circuit ◽  
Estimation Method ◽  
Trust Region ◽  
Fault Tolerant Control ◽  
Trust Region Algorithm ◽  
Parameter Estimation Method

Taking advantage of the high reliability, multiphase permanent magnet synchronous motors (PMSMs), such as five-phase PMSM and six-phase PMSM, are widely used in fault-tolerant control applications. And one of the important fault-tolerant control problems is fault diagnosis. In most existing literatures, the fault diagnosis problem focuses on the three-phase PMSM. In this paper, compared to the most existing fault diagnosis approaches, a fault diagnosis method for Interturn short circuit (ITSC) fault of five-phase PMSM based on the trust region algorithm is presented. This paper has two contributions. (1) Analyzing the physical parameters of the motor, such as resistances and inductances, a novel mathematic model for ITSC fault of five-phase PMSM is established. (2) Introducing an object function related to the Interturn short circuit ratio, the fault parameters identification problem is reformulated as the extreme seeking problem. A trust region algorithm based parameter estimation method is proposed for tracking the actual Interturn short circuit ratio. The simulation and experimental results have validated the effectiveness of the proposed parameter estimation method.

A BFGS trust-region method for nonlinear equations

Computing ◽  
2011 ◽  
Vol 92 (4) ◽  
pp. 317-333 ◽  
Author(s):  
Gonglin Yuan ◽  
Zengxin Wei ◽  
Xiwen Lu
Keyword(s):  
Nonlinear Equations ◽  
Trust Region Method ◽  
Trust Region ◽  
Region Method
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