Results 11 to 20 of about 293 (242)
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 In this paper we have provided sufficient conditions to study semilocal and local convergence of the Stirling’s method. The method is used to find fixed points of nonlinear operator equation.
Argyros Ioannis K., Parida P.K.
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On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich’s Technique [PDF]
Algorithms, 2017 The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton’s method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and
José Antonio Ezquerro +1 more
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Sequences of resource monotones from modular Hamiltonian polynomials [PDF]
Physical Review Research, 2023 We introduce two infinite sequences of entanglement monotones, which are constructed from expectation values of polynomials in the modular Hamiltonian.
Raúl Arias +4 more
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Newton's method in Riemannian manifolds
Journal of Numerical Analysis and Approximation Theory, 2008 Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
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Enhancing Equation Solving: Extending the Applicability of Steffensen-Type Methods
Mathematics, 2023 Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods.
Ramandeep Behl +2 more
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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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An improved semilocal convergence analysis for the midpoint method
Journal of Numerical Analysis and Approximation Theory, 2016 We expand the applicability of the midpoint method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than the known results in scientific literature [1,3,4,5,6,7,8,9,10,11,19,
Ioannis K. Argyros, Sanjay K. Khattri
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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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Mathematics, 2023 A novel local and semi-local convergence theorem for the four-step nonlinear scheme is presented. Earlier studies on local convergence were conducted without particular assumption on Lipschitz constant.
Akanksha Saxena +3 more
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On the Convergence Order of Jarratt-Type Methods for Nonlinear Equations
AxiomsThe order of convergence for Jarratt-type methods in solving nonlinear equations is determined without relying on Taylor expansion. Unlike previous studies, we depend solely on assumptions about the derivatives of the involved operator up to the second ...
Shobha M. Erappa +4 more
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