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NA
2010
235views more  NA 2010»
12 years 11 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 4 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
12 years 11 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 4 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»
13 years 10 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...