Results 81 to 90 of about 677,232 (187)
Expanding the applicability of Newton-Tikhonov method for ill-posed equations
Journal of Numerical Analysis and Approximation Theory, 2014 We present a new semilocal convergence analysis of Newton- Tikhonov methods for solving ill-posed operator equations in a Hilbert space setting. Using more precise majorizing sequences and under the same computational cost as in earlier studies such as [
Ioannis K. Argyros, Santhosh George
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, 2005 In this study, we provide a new semilocal convergence theorem for Newton's method. It is assumed that an operator is twice continuously Fréchet-differentiable at only one point.
Hu, Zhongyong
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Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems
Abstract and Applied Analysis, 2014 We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method.
Wen Zhou, Jisheng Kou
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Improved semilocal convergence analysis in Banach space with applications to chemistry
, 2017 We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis K +9 more
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, 2016 In this paper, we study the semilocal convergence of a fifth order iterative method using recurrence relation under the assumption that first order Fréchet derivative satisfies the Hölder condition.
Prashanth Maroju +2 more
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The cubic semilocal convergence on two variants of Newton's method
Journal of Computational and Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, Quan, Bai, Rongxia, Liu, Zhongli
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P A RECURRENCE RELATIONS AND SEMILOCAL CONVERGENCE OF A FIFTH ORDER METHOD IN BANACH SPACES
, 2016 : The aim of this article is to study the semilocal convergence of a fifth order method in Banach spaces. Using recurrence relations, we have proved convergence, existence and uniqueness theorem, along with a priori error bounds which shows the R-order ...
Bhavna Panday, §, J P Jaiswal
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, 1980 Semilocal skew group rings R ∗ θ G R{ \ast _\theta }G are investigated. The full characterization is given in the case of algebras over a field of characteristic zero.
Jan Okniński
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On the convergence of Steffensen-type methods using recurrent functions nonexpansive mappings
Journal of Numerical Analysis and Approximation Theory, 2009 We introduce the new idea of recurrent functions to provide a new semilocal convergence analysis for Steffensen-type methods (STM) in a Banach space setting.
Ioannis K. Argyros, Saïd Hilout
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Local and Semilocal Convergence of Wang-Zheng’s Method for Simultaneous Finding Polynomial Zeros
, 2019 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.
Slav I. Cholakov
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