Results 171 to 180 of about 360 (203)

Surgery for relaxed newton's method [PDF]

open access: yesComplex Variables, Theory and Application: An International Journal, 1993
In this paper we consider Newton's method with the help of quasi conformal surgery. Using holomorphic motions the existence of attractive periodic points of relaxed Newton's method for cubic polynomials and any h ∊]0,1[ is established.
Fritz V. Haeseler, Hartje Kriete
core   +4 more sources

Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method [PDF]

open access: yes, 2016
The relaxed Newton's method modifies the classical Newton's method with a parameter h in such a way that when it is applied to a polynomial with multiple roots and we take as parameter one of these multiplicities, it is increased the order of convergence to the related multiple root.
Gutierrez, J. M.   +3 more
openaire   +2 more sources

Mystery of the rational iteration arising from relaxed Newton’s method [PDF]

open access: yesChaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Çilingir, Figen, Figen Çilingir
openaire   +4 more sources

Convergence of a relaxed Newton's method for cubic equations [PDF]

open access: yesComputers & Chemical Engineering, 1993
Abstract This paper presents new results on the behavior of Newton's method when it is used to search for the roots of a cubic equation. When the equation has one real root and two real singular points, Newton's method can exhibit chaotic or periodic behavior.
J.B. McLaughlin
openaire   +2 more sources

FINITENESS OF THE AREA OF BASINS OF ATTRACTION OF RELAXED NEWTON METHOD FOR CERTAIN HOLOMORPHIC FUNCTIONS [PDF]

open access: yesInternational Journal of Bifurcation and Chaos, 2004
For a nonconstant function F and a real number h∈]0, 1] the relaxed Newton's method NF,hof F is an iterative algorithm for finding the zeroes of F. We show that when relaxed Newton's method is applied to complex function F(z)=P(z)eQ(z), where P and Q are polynomials, the basin of attraction of a root of F has finite area if the degree of Q exceeds or ...
Çilingir, Figen
openaire   +3 more sources

Relaxation of Crystals with the Quasi-Newton Method

Journal of Computational Physics, 1997
The authors present a relaxation scheme for crystals with the quasi-Newton method. The method preserves the crystal structure during relaxation. The efficiency of the method is demonstrated for silicon test problems.
Pfrommer, Bernd G.   +3 more
openaire   +1 more source

On a two-step relaxed Newton-type method

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio Amat   +2 more
openaire   +1 more source

Convergence of relaxed Newton method for order-convex matrix equations

Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sang-Hyup Seo, Jong-Hyeon Seo
openaire   +2 more sources

Newton waveform relaxation method for solving algebraic nonlinear equations

Applied Mathematics and Computation, 2008
For solving a nonlinear algebraic system the authors propose a new iterative method, called Newton waveform relaxation method. Starting by a similar way as using the continuous time waveform relaxation iteration for solving differential systems, for solving nonlinear algebraic systems the authors have chosen a splitting function that satisfies a ...
Shulin Wu, Chengming Huang, Yong Liu
openaire   +2 more sources

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