Results 21 to 30 of about 1,528,330 (141)
Convergence Analysis and Complex Geometry of an Efficient Derivative-Free Iterative Method
Mathematics, 2019 To locate a locally-unique solution of a nonlinear equation, the local convergence analysis of a derivative-free fifth order method is studied in Banach space.
Deepak Kumar +2 more
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On the Numerical Solution of a Hyperbolic Inverse Boundary Value Problem in Bounded Domains
Mathematics, 2022 We consider the inverse problem of reconstructing the boundary curve of a cavity embedded in a bounded domain. The problem is formulated in two dimensions for the wave equation.
Roman Chapko, Leonidas Mindrinos
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SIAM Journal on Scientific Computing, 2017 We design a block Krylov method to compute the action of the Frechet derivative of a matrix function on a vector using only matrix-vector products, i.e., the derivative of $f(A)b$ when $A$ is subject to a perturbation in the direction $E$.
Peter Kandolf, Samuel D. Relton
semanticscholar +1 more source
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017 This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is ...
Ioannis K. Argyros, Santhosh George
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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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Applied Mathematics and Computation, 2016 The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition.
Sukhjit Singh +3 more
semanticscholar +1 more source
Al-Mustansiriyah Journal of Science, 2023 In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem.
Yasameen H. Rashid +2 more
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Ratio Mathematica, 2019 In this paper we study the existence of continuous solutions of an integro-differential equation in unbounded interval depending on derivative This paper extend some results obtained by the authors using the technique developed in their previous paper ...
Giuseppe Anichini +2 more
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Fractal and Fractional, 2022 The local convergence analysis of the multi-step seventh order method to solve nonlinear equations is presented in this paper. The point of this paper is that our proposed study requires a weak hypothesis where the Fréchet derivative of the nonlinear ...
Mohammad Taghi Darvishi +4 more
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A Newton-like Midpoint Method for Solving Equations in Banach Space
Foundations, 2023 The present paper includes the local and semilocal convergence analysis of a fourth-order method based on the quadrature formula in Banach spaces. The weaker hypotheses used are based only on the first Fréchet derivative.
Samundra Regmi +3 more
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