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A modified Newton-secant method for solving nonsmooth generalized equations
Mathematical Modelling and AnalysisIn this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral +3 more
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Optimal Control of Temperature in Fluid Flow Using Four Types of MinimizationTechniques
Journal of Algorithms & Computational Technology, 2010 The purpose of this paper is a thermal optimal control problem using four types of minimization technique. The four types of minimization techniques are the weighted gradient method, the Newton based method, the modified steepest descent method and the ...
Daisuke Yamazaki, Mutsuto Kawahara
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Error bounds for the modified Newton's method [PDF]
Bulletin of the Australian Mathematical Society, 1976 A strengthened form of the Kantorovich convergence theorem for the modified Newton's method is proved. The result is compared with previously known results.
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European Journal of Mathematical AnalysisNumerous applications from diverse disciplines reduce to solving generalized equations in a Banach space setting. These equations are solved mostly iteratively, when a sequence is generated approximating a solution provided that certain conditions are ...
Samundra Regmi +3 more
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Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space
Journal of Applied Mathematics, 2014 We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate.
Rongfei Lin +3 more
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New Modification of Behl's Method Free from Second Derivative with an Optimal Order of Convergence
InPrime, 2019 Behl’s method is one of the iterative methods to solve a nonlinear equation that converges cubically. In this paper, we modified the iterative method with real parameter β using second Taylor’s series expansion and reduce the second derivative of the ...
Wartono Wartono +2 more
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A Modified Hestenes-Stiefel-Type Derivative-Free Method for Large-Scale Nonlinear Monotone Equations
Mathematics, 2020 The goal of this paper is to extend the modified Hestenes-Stiefel method to solve large-scale nonlinear monotone equations. The method is presented by combining the hyperplane projection method (Solodov, M.V.; Svaiter, B.F.
Zhifeng Dai, Huan Zhu
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Fast ISAR Cross-Range Scaling Using Modified Newton Method
IEEE Transactions on Aerospace and Electronic Systems, 2018 This paper proposes a fast and novel cross-range scaling algorithm for inverse synthetic aperture radar (ISAR) imaging. The rotational motion of the target unavoidably results in high-order phase errors that blur the ISAR image. To achieve the cross-range scaling and compensate the quadratic phase error, the rotational velocity and rotational center of
Shuanghui Zhang +3 more
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IET Generation, Transmission & Distribution, 2023 Power‐Flow (PF) solution in isolated microgrids has attracted notable attention recently, because these systems present various particularities compared with the traditional PF solution in large meshed transmission networks.
Marcos Tostado‐Véliz +3 more
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Modified Newton method for reactive dispatching
International Journal of Electrical Power & Energy Systems, 2002 Abstract This paper describes a new approach to the optimal reactive dispatch problem, based on an augmented Lagrangian function of the original problem. The Karush–Kuhn–Tucker (KKT) optimality conditions are solved by the modified Newton method. The second-order information in the original system of equations is approximated and the first-order ...
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