scholarly journals Expanding the applicability of the generalized Newton method for generalized equations

2017 ◽  
Keyword(s):  
Newton Method ◽  
Generalized Newton Method ◽  
Generalized Equations ◽  
Generalized Newton

Generalized equations and the generalized Newton method

1996 ◽  
Vol 73 (3) ◽  
pp. 251-268 ◽  
Author(s):  
Livinus U. Uko
Keyword(s):  
Newton Method ◽  
Generalized Newton Method ◽  
Generalized Equations ◽  
Generalized Newton

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.

Generalized Newton method with applications

2017 ◽  
pp. 259-270
Author(s):  
Ioannis K. Argyros ◽  
Á. Alberto Magrenan
Keyword(s):  
Newton Method ◽  
Generalized Newton Method ◽  
Generalized Newton

scholarly journals A Two-Step Newton-Type Method for Solving System of Absolute Value Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Lei Shi ◽  
Javed Iqbal ◽  
Muhammad Arif ◽  
Alamgir Khan
Keyword(s):  
Newton Method ◽  
New Method ◽  
Generalized Newton Method ◽  
Absolute Value Equations ◽  
Step Method ◽  
Type Method ◽  
Numerical Examples ◽  
Absolute Value ◽  
Generalized Newton

In this paper, we suggest a Newton-type method for solving the system of absolute value equations. This new method is a two-step method with the generalized Newton method as predictor. Convergence of the proposed method is proved under some suitable conditions. At the end, we take several numerical examples to show that the new method is very effective.

Parameter Estimation for Excavator Arm Using Generalized Newton Method

2004 ◽  
Vol 20 (4) ◽  
pp. 762-767 ◽  
Author(s):  
Y.H. Zweiri ◽  
L.D. Seneviratne ◽  
K. Althoefer
Keyword(s):  
Parameter Estimation ◽  
Newton Method ◽  
Generalized Newton Method ◽  
Generalized Newton

Remarks on the generalized Newton method

1993 ◽  
Vol 59 (1-3) ◽  
pp. 405-412 ◽  
Author(s):  
Livinus Ugochukwu Uko
Keyword(s):  
Newton Method ◽  
Generalized Newton Method ◽  
Generalized Newton
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