Results 31 to 40 of about 13,152,720 (196)
A MODIFIED INEXACT NEWTON METHOD
In this paper, we consider a modified inexact Newton method for solving a nonlinear system F(x) = 0 where F(x) : R n → R n . The basic idea is to accelerate convergence. A semi-local convergence theorem for the modified inexact Newton method is established and an affineinvariant version is also given.
Pengzhan Huang, Abdurishit Abduwali
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This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to the problem of finding an exact or approximate solution for a linear or nonlinear algebraic equation.
Uriel Filobello-Nino +6 more
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A modified quasi-Newton method for nonlinear equations
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Xiaowei Fang, Qin Ni, Meilan Zeng
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A Study of Modified Newton-Raphson Method [PDF]
A basic alteration of the standard Newton technique is investigated and described for the approximation of the roots of a univariate function. For a similar number of functions and evaluation of the derivative, an altered strategy combines quicker, with the convergence of the modified NR’s method being 2.4 as compared with the regular NR method which ...
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A modified Newton method for unconstrained minimization
Newton's method has proved to be a very efficient method for solving strictly convex unconstrained minimization problems. For the nonconvex case, various modified Newton methods have been proposed. In this paper, a new modified Newton method is presented.
Walter Murray +2 more
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A Modified Newton method for a matrix polynomial equation arising in stochastic problem [PDF]
The Newton iteration is considered for a matrix polynomial equation which arises in stochastic problem. In this paper, it is shown that the elementwise minimal nonnegative solution of the matrix polynomial equation can be obtained using Newton's method ...
Seo, Jong-Hyeon +2 more
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In this paper, we discuss the numerical solution of Adomian decomposition method and Taylor’s expansion method in Volterra linear integral equation.
Najmuddin Ahmad +3 more
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We propose a Newton-gradient-hybrid optimization method for fluid topology optimization. The method accelerates convergence and reduces computation time. In addition, the fluid-solid boundaries are clearly distinguished.
Kazuo YONEKURA, Yoshihiro KANNO
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textRoot-finding algorithms have been studied for ages for their various applications. Newton's Method is just one of these root-finding algorithms.
Banacka, Nicole Lynn
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Optimal eighth-order multiple root finding iterative methods using bivariate weight function
In this contribution, a novel eighth-order scheme is presented for solving nonlinear equations with multiple roots. The proposed scheme comprises of three steps with the modified Newton method as its first step followed by two weighted Newton steps ...
Rajni Sharma, Ashu Bahl, Ranjita Guglani
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