Results 11 to 20 of about 183,894 (263)
Algorithms, 2023 In this paper, we provide a detailed local convergence analysis of a one-parameter family of iteration methods for the simultaneous approximation of polynomial zeros due to Ivanov (Numer. Algor. 75(4): 1193–1204, 2017).
Tsonyo M. Pavkov +3 more
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Locally Convergent Nonlinear Observers
SIAM Journal on Control and Optimization, 2003 Summary: We introduce a new method for the design of observers for nonlinear systems using backstepping. The method is applicable to a class of nonlinear systems slightly larger than those treated by \textit{J. P. Gauthier, H. Hammouri}, and \textit{S. Othman} [IEEE Trans. Autom. Control 37, 875--880 (1992; Zbl 0775.93020)].
Krener, Arthur J., Kang, Wei
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Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces
Mathematics, 2021 We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar +3 more
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Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of Equation Solvers
Fractal and Fractional, 2021 In this article, we suggest the local analysis of a uni-parametric third and fourth order class of iterative algorithms for addressing nonlinear equations in Banach spaces.
Debasis Sharma +3 more
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Local Convergence for Wavelet Expansions
Journal of Functional Analysis, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kelly, S.E., Kon, M.A., Raphael, L.A.
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Local convergence comparison between two novel sixth order methods for solving equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 The aim of this article is to provide the local convergence analysis of two novel competing sixth convergence order methods for solving equations involving Banach space valued operators.
Ioannis K. Argyros, Santhosh George
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Local Convergence for Multi-Step High Order Solvers under Weak Conditions
Mathematics, 2020 Our aim in this article is to suggest an extended local convergence study for a class of multi-step solvers for nonlinear equations valued in a Banach space.
Ramandeep Behl, Ioannis K. Argyros
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Mathematics, 2021 The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena +4 more
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Mathematics, 2019 The foremost aim of this paper is to suggest a local study for high order iterative procedures for solving nonlinear problems involving Banach space valued operators. We only deploy suppositions on the first-order derivative of the operator.
Ramandeep Behl +2 more
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