Results 131 to 140 of about 241,421 (169)

A globally convergent ball Stirling method

Applied Numerical Mathematics, 2004
A Stirling iterative method for solving an operator equation \(P(x)=0\), or equivalently, a fixed point equation \(F(x)=x\) can be viewed as a combination of fixed point iteration and Newton iteration. The iterative scheme \(x_{n+1}=x_n-[I-F'(y_n)]^{-1}[x_n-F(x_n)]\) gives a general class of schemes. For \(y_n=x_n\), one has the standard Newton method,
Sen, Rabindra Nath, Guhathakurta, Pulak
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Convergence ball of a modified secant method with convergence order 1.839…

Applied Mathematics and Computation, 2007
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Ren, Hongmin, Wu, Qingbiao
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Unified ball convergence of third and fourth convergence order algorithms under \(omega\)-continuity conditions

2021
Summary: There is a plethora of third and fourth convergence order algorithms for solving Banach space valued equations. These orders are shown under conditions on higher than one derivatives not appearing on these algorithms. Moreover, error estimations on the distances involved or uniqueness of the solution results if given at all are also based on ...
Argyros, Gus, Argyros, Michael, Argyros, Ioannis, George, Santhosh   +3 more
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Convergence ball and error analysis of Müller’s method

Applied Mathematics and Computation, 2007
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Wu, Qingbiao, Ren, Hongmin, Bi, Weihong
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Convergence criterion and convergence ball of the Newton-type method in Banach space

Journal of Applied Mathematics and Computing, 2008
The article deals with the following Newton-like iteration \[ x_{n+1} = y_n - f'(x_n)^{-1}f(y_n), \;\;y_n = x_n - f'(x_n)^{-1}f(x_n), \quad n = 0,1,\dots \] for approximate solving the nonlinear operator equation \(f(x) = 0\), where \(f\) is a nonlinear operator between Banach spaces \(E\) and \(F\).
Zhang, Huaren, Li, Weiguo
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Ball convergence theorems for Halley’s method in Banach space

Journal of Applied Mathematics and Computing, 2011
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Argyros, Ioannis K., Ren, Hongmin
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Convergence ball and error analysis of Ostrowski-Traub’s method

Applied Mathematics-A Journal of Chinese Universities, 2010
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Bi, Weihong, Wu, Qingbiao, Ren, Hongmin
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A Globally Convergent Ball Newton Method

SIAM Journal on Numerical Analysis, 1981
A new n-dimensional Newton method is presented. In each step a whole n-dimensional ball is determined rather than a single new approximation point. This ball contains the desired zero of the given function. The method is globally convergent. If the given initial ball does not contain any zero, then the method stops after a finite number of steps ...
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Ball convergence of the Newton–Gauss method in Banach space

SeMA Journal, 2016
This paper is about the convergence of a fifth-order Newton method for solving nonlinear equations, based on the conditions on the first dervative. Some examples are given to illustrate the theory.
Argyros, Ioannis K., Sharma, Janak Raj, Kumar, Deepak   +2 more
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Ball Convergence for Second Derivative Free Methods in Banach Space

International Journal of Applied and Computational Mathematics, 2015
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Argyros, Ioannis K., Jidesh, P., George, Santhosh   +2 more
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