Unveiling promising phytocompounds from Moringa oleifera as dual inhibitors of EGFR<sup>(T790M/C797S)</sup> and VEGFR-2 in non-small cell lung cancer through in silico screening, ADMET, dynamics simulation, and DFT analysis. [PDF]
Masudur Rahman Munna M +4 more
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Surgery for relaxed newton's method [PDF]
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
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Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method [PDF]
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
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Mystery of the rational iteration arising from relaxed Newton’s method [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Çilingir, Figen, Figen Çilingir
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Convergence of a relaxed Newton's method for cubic equations [PDF]
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
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FINITENESS OF THE AREA OF BASINS OF ATTRACTION OF RELAXED NEWTON METHOD FOR CERTAIN HOLOMORPHIC FUNCTIONS [PDF]
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
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Relaxation of Crystals with the Quasi-Newton Method
Journal of Computational Physics, 1997The 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.
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On a two-step relaxed Newton-type method
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Newton waveform relaxation method for solving algebraic nonlinear equations
Applied Mathematics and Computation, 2008For 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
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