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Ostrowski type methods for solving systems of nonlinear equations
Four generalized algorithms builded up from Ostrowski's method for solving systems of
nonlinear equations are written and analyzed. A development of an inverse first-order …
nonlinear equations are written and analyzed. A development of an inverse first-order …
Basin attractors for various methods
There are many methods for the solution of a nonlinear algebraic equation. The methods are
classified by the order, informational efficiency and efficiency index. Here we consider other …
classified by the order, informational efficiency and efficiency index. Here we consider other …
An efficient two-point iterative method with memory for solving non-linear equations and its dynamics
In this paper, we present a novel class of two-step iterative methods with memory for solving
non-linear equations. By transforming an existing sixth-order scheme without memory into …
non-linear equations. By transforming an existing sixth-order scheme without memory into …
A new family of optimal eighth order methods with dynamics for nonlinear equations
We propose a simple yet efficient family of three-point iterative methods for solving nonlinear
equations. Each method of the family requires four evaluations, namely three functions and …
equations. Each method of the family requires four evaluations, namely three functions and …
A family of modified Ostrowski methods with accelerated sixth order convergence
Based on Ostrowski fourth order multipoint method, we derive a one-parameter family of
sixth order methods for solving equations. Each member of the family requires three …
sixth order methods for solving equations. Each member of the family requires three …
A higher order method for multiple zeros of nonlinear functions
HD Victory Jr, B Neta - International Journal of Computer …, 1983 - Taylor & Francis
A higher order method for multiple zeros of nonlinear functions Page 1 Inrern. J. Cornpurer Murk.
1983. Vol. 12. pp 329-335 0020-7160 83 1204-0329 S18.50 0 I., Gordun and Breach Sc~ence …
1983. Vol. 12. pp 329-335 0020-7160 83 1204-0329 S18.50 0 I., Gordun and Breach Sc~ence …
A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
C Chun, MY Lee - Applied Mathematics and Computation, 2013 - Elsevier
In this paper a new optimal family of methods for solving nonlinear equations is presented. It
is proved by analysis of convergence that each member of the family, which requires three …
is proved by analysis of convergence that each member of the family, which requires three …
[HTML][HTML] An efficient family of weighted-Newton methods with optimal eighth order convergence
Based on Newton's method, we present a family of three-point iterative methods for solving
nonlinear equations. In terms of computational cost, the family requires four function …
nonlinear equations. In terms of computational cost, the family requires four function …
A sixth order method for nonlinear equations
SK Parhi, DK Gupta - Applied Mathematics and Computation, 2008 - Elsevier
In this paper, a sixth order method is developed by extending a third order method of
Weerakoon and Fernando [S. Weerakoon, TGI Fernando, A variant of Newton's method with …
Weerakoon and Fernando [S. Weerakoon, TGI Fernando, A variant of Newton's method with …
On a family of multipoint methods for non-linear equations
B Neta - International Journal of Computer Mathematics, 1981 - Taylor & Francis
On a family of multipoint methods for non-linear equations Page 1 Inlrtn. J Curnputer Mark 1981
Vol 9, pp 353-361 002&7160 81 0904-0353 $06 5 0 O c Gordon and Breach Sacnce Pubhrhers …
Vol 9, pp 353-361 002&7160 81 0904-0353 $06 5 0 O c Gordon and Breach Sacnce Pubhrhers …