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Convergence Region of Newton Iterative Power Flow Method: Numerical Studies
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Some properties of the basins of attraction of the Newton’s method for simple nonlinear geodetic systems
Published 2024-12-01Subjects: Get full text
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An iterative method based on the average quadrature formula
Published 2025-03-01Subjects: Get full text
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Accelerating the convergence of Newton's method for the Yang-Baxter like matrix equation
Published 2025-02-01“…This article explores the application of exact line search and successive over-relaxation techniques to enhance the convergence of Newton method in solving the Yang-Baxter matrix equation for nontrivial numerical solutions. …”
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Improved Newton Iterative Algorithm for Fractal Art Graphic Design
Published 2020-01-01“…Aiming at this problem, this paper proposes an improved optimization method for selecting the initial value of the Gauss-Newton iteration method. …”
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Newtons method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion
Published 2017-01-01“…The existence of solutions is proved by means of Picard iterations. Next we apply Newton's method. Moreover, a second-order convergence in a probabilistic sense is demonstrated.…”
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Convergence and Dynamics of Schröder’s Method for Zeros of Analytic Functions with Unknown Multiplicity
Published 2025-01-01Get full text
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9
Artificial Bee Colony and Newton Algorithm for Forward Position Solution of Parallel Mechanism
Published 2019-04-01“…By an organic combination of the intelligent optimization algorithm and the numerical iteration method, a general algorithm called hybrid artificial bee colony and Newton iteration (HABC-Newton) algorithm for solving the forward positions of parallel mechanism is constructed. …”
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On Traub–Steffensen-Type Iteration Schemes With and Without Memory: Fractal Analysis Using Basins of Attraction
Published 2024-11-01“…Steffensen’s method overcomes the drawback of the derivative evaluation of Newton’s scheme, but it has, in general, smaller sets of initial guesses that converge to the desired root. …”
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Improved FastICA algorithm for data optimization processing in intrusion detection
Published 2016-01-01“…The weighted correlation coefficient was adopted in the phase of albinism processing to reduce information loss, and the Newton's iterative method was improved for third-order convergence. …”
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A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method
Published 2024-12-01“…In this article, we apply three numerical methods to study the L∞-convergence of the Newton-multigrid method for parabolic quasi-variational inequalities with a nonlinear right-hand side. …”
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Jacobian-Free Newton Krylov Methods for Steady and Transient Neutron Transport Models
Published 2024-06-01“…Numerical results also show that the parallel solver called comeSn_JFNK can achieve an acceleration of over 10 times for KAIST-3A benchmark problems and approximately 30 times for C5G7-TD2 cases compared to the original parallel comeSn code using the traditional source iteration/power iteration methods. These solutions indicate that the JFNK methods offer significant acceleration for solving both steady-state and transient SN neutron transport models compared to traditional source iteration/power iteration methods. …”
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An innovative and efficient implementation of matrix-free Newton krylov method for neutronics/thermal-hydraulics coupling simulation
Published 2025-02-01“…In this work, an efficient and robustness coupling method using power density as the coupling parameter, Matrix-Free Newton Krylov (MFNK) method, is successfully developed and innovatively implemented in HNET for high-fidelity N/TH coupling simulation. …”
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Power flow calculation of electricity-gas integrated energy systems using an improved Newton-Raphson method
Published 2024-11-01“…To address the difficulty in convergence encountered in power flow calculations of integrated electricity-gas energy systems using the traditional Newton-Raphson method for state evaluation and safety checks, this paper proposes a power flow calculation method based on an improved continuous Newton method. …”
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Memoryless quasi-Newton-type methods via some weak secant relations for large-scale unconstrained optimization
Published 2024-12-01“…Abstract This article presents two variants of memoryless quasi-Newton methods with backtracking line search for large-scale unconstrained minimization. …”
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A Hybrid Approach Incorporating WSO-HO and the Newton-Raphson Method to Enhancing Photovoltaic Solar Model Parameters Optimisation
Published 2025-01-01“…This study introduces a novel hybrid approach, WSO-HO, which integrates the strengths of the war strategy optimization (WSO) and Hippopotamus Optimization (HO) algorithms, enhanced by the Newton-Raphson (NR) method, to achieve precise parameter estimation for PV models. …”
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Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots
Published 2014-01-01“…We have given a four-step, multipoint iterative method without memory for solving nonlinear equations. …”
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An Improved Reduced-Dimension Robust Capon Beamforming Method Using Krylov Subspace Techniques
Published 2024-11-01“…The diagonal loading level of RDRCB is known to become invalid if the initial value of the Newton iteration method is incorrect and the Hessel matrix is non-positive definite. …”
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