Quadratic convergence of a multivalued series (S+)

2020 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Quadratic Convergence

We use the Infinity Theorem to find two possible values for S+.

A quadratic convergence method for MOVPE thermodynamic analysis

2002 ◽  
Vol 237-239 ◽  
pp. 1603-1609 ◽  
Author(s):  
Takahiro Hasegawa ◽  
Akinori Koukitu ◽  
Yoshinao Kumagai
Keyword(s):  
Thermodynamic Analysis ◽  
Quadratic Convergence ◽  
Convergence Method

scholarly journals A Generalized Inexact Newton Method for Inverse Eigenvalue Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Weiping Shen
Keyword(s):  
Newton Method ◽  
Quadratic Convergence ◽  
Eigenvalue Problems ◽  
Generalized Newton Method ◽  
Inexact Newton Method ◽  
Numerical Tests ◽  
Inverse Eigenvalue Problems ◽  
Inverse Eigenvalue ◽  
Generalized Newton ◽  
Special Case

We propose a generalized inexact Newton method for solving the inverse eigenvalue problems, which includes the generalized Newton method as a special case. Under the nonsingularity assumption of the Jacobian matrices at the solutionc*, a convergence analysis covering both the distinct and multiple eigenvalue cases is provided and the quadratic convergence property is proved. Moreover, numerical tests are given in the last section and comparisons with the generalized Newton method are made.

Quadratic convergence in interval arithmetic, part II

1972 ◽  
Vol 12 (3) ◽  
pp. 291-298 ◽  
Author(s):  
Webb Miller
Keyword(s):  
Interval Arithmetic ◽  
Quadratic Convergence

Consistent Tangent Stiffness of a Three-Dimensional Wheel–Rail Interaction Element

2021 ◽  
Author(s):  
Quan Gu ◽  
Jinghao Pan ◽  
Yongdou Liu
Keyword(s):  
Finite Element ◽  
Quadratic Convergence ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Light Rail ◽  
Software Framework ◽  
Tangent Stiffness ◽  
Rail Vehicle ◽  
Interaction Element ◽  
Nonlinear Equations Of Motion

Consistent tangent stiffness plays a crucial role in delivering a quadratic rate of convergence when using Newton’s method in solving nonlinear equations of motion. In this paper, consistent tangent stiffness is derived for a three-dimensional (3D) wheel–rail interaction element (WRI element for short) originally developed by the authors and co-workers. The algorithm has been implemented in finite element (FE) software framework (OpenSees in this paper) and proven to be effective. Application examples of wheelset and light rail vehicle are provided to validate the consistent tangent stiffness. The quadratic convergence rate is verified. The speeds of calculation are compared between the use of consistent tangent stiffness and the tangent by perturbation method. The results demonstrate the improved computational efficiency of WRI element when consistent tangent stiffness is used.

scholarly journals Quadratic Convergence of Smoothing Newton's Method for 0/1 Loss Optimization

2021 ◽  
Vol 31 (4) ◽  
pp. 3184-3211
Author(s):  
Shenglong Zhou ◽  
Lili Pan ◽  
Naihua Xiu ◽  
Hou-Duo Qi
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Quadratic Convergence
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