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NA
2010
235views more  NA 2010»
13 years 1 months ago
On new iterative method for solving systems of nonlinear equations
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Fadi Awawdeh
AMC
2008
83views more  AMC 2008»
13 years 7 months ago
Some one-parameter families of third-order methods for solving nonlinear equations
In this paper, two one-parameter families of irrational and rational iterative methods for solving nonlinear equations are constructed. The construction of the iterative process i...
Dongdong Jiang, Danfu Han
CMA
2011
13 years 2 months ago
Third-order family of methods in Banach spaces
Recently, Parida and Gupta [J. Comp. Appl. Math. 206 (2007), 873-877] used Rall’s recurrence relations approach (from 1961) to approximate roots of nonlinear equations, by develo...
Changbum Chun, Pantelimon Stanica, Beny Neta
AMC
2007
95views more  AMC 2007»
13 years 7 months ago
A one-parameter family of third-order methods to solve nonlinear equations
In this paper we present a new one-parameter family of iterative methods to solve nonlinear equations which includes some well-known third-order methods as particular ones. The co...
Changbum Chun
GMP
2006
IEEE
131views Solid Modeling» more  GMP 2006»
14 years 1 months ago
Least-Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process
The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. In order to solve this highly non-linear problem, we ...
Martin Aigner, Zbynek Sír, Bert Jüttle...