On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces
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DOI: 10.1007/s11075-021-01199-2
Abstract: In the present paper, we consider the semilocal convergence problems of the two-step Newton method for solving nonlinear operator equation in Banach spaces. Under the assumption that the first derivative of the operator satisfies a… read more here.
Keywords: analysis; two step; step newton; newton method ... See more keywords
On semilocal convergence of two step Kurchatov method
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1428741
Abstract: ABSTRACT In this article we present a new semilocal convergence analysis for the two step Kurchatov method by using recurrence relations under Lipschitz type conditions on first-order divided difference operator. The main advantage of this… read more here.
Keywords: step; kurchatov method; two step; step kurchatov ... See more keywords
Semilocal Convergence of the Extension of Chun's Method
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DOI: 10.3390/axioms10030161
Abstract: In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method. This is an iterative method of fourth order, that… read more here.
Keywords: extension chun; semilocal convergence; method;
Local and Semilocal Convergence of Wang-Zheng's Method for Simultaneous Finding Polynomial Zeros
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DOI: 10.3390/sym11060736
Abstract: In 1984, Wang and Zheng (J. Comput. Math. 1984, 1, 70–76) introduced a new fourth order iterative method for the simultaneous computation of all zeros of a polynomial. In this paper, we present new local… read more here.
Keywords: zheng method; semilocal convergence; wang zheng; method ... See more keywords
Local and Semilocal Convergence of Nourein's Iterative Method for Finding All Zeros of a Polynomial Simultaneously
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DOI: 10.3390/sym12111801
Abstract: In 1977, Nourein (Intern. J. Comput. Math. 6:3, 1977) constructed a fourth-order iterative method for finding all zeros of a polynomial simultaneously. This method is also known as Ehrlich’s method with Newton’s correction because it… read more here.
Keywords: iterative method; finding zeros; method finding; semilocal convergence ... See more keywords
The local and semilocal convergence analysis of new Newton-like iteration methods
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DOI: 10.3906/mat-1505-16
Abstract: The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further… read more here.
Keywords: local semilocal; newton like; convergence analysis; newton ... See more keywords