Frequency modification using Newton's method and inverse iteration eigenvector updating

AIAA Journal ◽  
1992 ◽  
Vol 30 (7) ◽  
pp. 1886-1891 ◽  
Author(s):  
Malcolm J. Smith ◽  
Stanley G. Hutton
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Inverse Iteration

Inverse Iteration, Ill-Conditioned Equations and Newton’s Method

SIAM Review ◽  
1979 ◽  
Vol 21 (3) ◽  
pp. 339-360 ◽  
Author(s):  
G. Peters ◽  
J. H. Wilkinson
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Inverse Iteration

A block Newton’s method for computing invariant pairs of nonlinear matrix pencils

2018 ◽  
Vol 33 (1) ◽  
pp. 15-23
Author(s):  
Kirill V. Demyanko ◽  
Yuri M. Nechepurenko
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Linear Matrix ◽  
Inverse Iteration ◽  
Matrix Pencils ◽  
Nonlinear Matrix ◽  
Newton's Methods

Abstract The block inverse iteration and block Newton’s methods proposed by the authors of this paper for computing invariant pairs of regular linear matrix pencils are generalized to the case of regular nonlinear matrix pencils. Numerical properties of the proposed methods are demonstrated with a typical quadratic eigenproblem.

Optimal Power Flow Using Newton’s Method

2012 ◽  
Vol 3 (2) ◽  
pp. 167-169
Author(s):  
F.M.PATEL F.M.PATEL ◽  
◽  
N. B. PANCHAL N. B. PANCHAL
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Power Flow ◽  
Optimal Power Flow ◽  
Optimal Power

An Efficient Sixth-Order Convergent Newton-Type Iterative Method for Nonlinear Equations

2012 ◽  
Vol 220-223 ◽  
pp. 2585-2588
Author(s):  
Zhong Yong Hu ◽  
Fang Liang ◽  
Lian Zhong Li ◽  
Rui Chen
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Efficiency Index ◽  
Sixth Order ◽  
Type Method ◽  
Second Derivatives ◽  
Better Than

In this paper, we present a modified sixth order convergent Newton-type method for solving nonlinear equations. It is free from second derivatives, and requires three evaluations of the functions and two evaluations of derivatives per iteration. Hence the efficiency index of the presented method is 1.43097 which is better than that of classical Newton’s method 1.41421. Several results are given to illustrate the advantage and efficiency the algorithm.

scholarly journals A Hybrid Approach for Solving Systems of Nonlinear Equations Using Harris Hawks Optimization and Newton’s Method

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Rami Sihwail ◽  
Obadah Said Solaiman ◽  
Khairuddin Omar ◽  
Khairul Akram Zainol Ariffin ◽  
Mohammed Alswaitti ◽  
...  
Keyword(s):  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Hybrid Approach ◽  
Systems Of Nonlinear Equations

scholarly journals On the speed of convergence of Newton’s method for complex polynomials

2015 ◽  
Vol 85 (298) ◽  
pp. 693-705 ◽  
Author(s):  
Todor Bilarev ◽  
Magnus Aspenberg ◽  
Dierk Schleicher
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Speed Of Convergence ◽  
Complex Polynomials
Sign in / Sign up

Export Citation Format

Share Document