Search Results - "Newton-Raphson method"

Two Typical Implementable Semismooth* Newton Methods for Generalized Equations Are G-Semismooth Newton Methods.

Authors: Chen, Liang Sun, Defeng Zhang, Wangyongquan

Source: Mathematics of Operations Research (INFORMS). Aug2026, Vol. 51 Issue 3, p2189-2208. 20p.

Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method.

Authors: Doikov, Nikita¹ (AUTHOR) nikita.doikov@epfl.ch

Source: Mathematical Programming. Sep2026, Vol. 219 Issue 1/2, p583-621. 39p.

Accurate Determination of Five Single-Diode Model Parameters for Solar Cells and PV Modules via a Five-Dimensional Newton–Raphson Approach.

Authors: Lin, Zhenjia Yang, Chen Xu, Wenbin et al.

Source: Energies (19961073). Sep2026, Vol. 19 Issue 17, p4022. 38p.

Subject Terms: *Newton-Raphson method, *Parameter estimation, *Photovoltaic power generation, *Numerical analysis, *Metaheuristic algorithms, *Solar cells, *Current-voltage characteristics

Novel approaches for nonlinear Sine-Gordon equations using two efficient techniques.

Authors: S, Kumbinarasaiah Veeresha, P. Prakasha, D. G. et al.

Source: International Journal of Modelling & Simulation. Oct2026, Vol. 46 Issue 5, p1614-1634. 21p.

Subjects: Sine-Gordon equation, Newton-Raphson method, Laplace transformation, Nonlinear wave equations, Scientific method, Error analysis in mathematics

A second-order relaxed Newton framework for material parameters identification and stress-constrained structural optimization.

Authors: Gallo, Antonio Armentani, Enrico Ferraiuolo, Michele et al.

Source: Fracture & Structural Integrity. Oct2026, Issue 78, p489-505. 17p.

Subjects: Newton-Raphson method, Constrained optimization, Mathematical optimization

PDE-constrained shape optimization with first-order and Newton-type methods in the W^1,∞ topology.

Authors: Deckelnick, Klaus Herbert, Philip J. Hinze, Michael

Source: Optimization Methods & Software. Aug2026, Vol. 41 Issue 4, p868-894. 27p.

Subjects: Method of steepest descent (Numerical analysis), Newton-Raphson method, Functional analysis, Function spaces, Structural optimization, Numerical analysis

Measuring the defect size of a rectangular metallic plate with finite size based on sweep-frequency eddy current testing.

Authors: Huang, Pu Han, Zheng Peng, Lisha et al.

Source: Nondestructive Testing & Evaluation. Sep2026, Vol. 41 Issue 9, p5307-5326. 20p.

Subjects: Eddy current testing, Newton-Raphson method, Analytical solutions, Nondestructive testing, Least squares, Rectangular plates (Engineering)

A Current and LFN Method for Individually Assessing Layer Quality in III–V Multi-Junctions.

Authors: Diaz, Alexandra Jouanneau, Corentin Bidaud, Thomas et al.

Source: Fluctuation & Noise Letters; Oct2026, Vol. 25 Issue 5, p1-6, 6p

An Efficient Two‐Point Iteration Scheme for Robust Approximation of Multiple Roots With Applications.

Authors: Kumar, Sunil Ali, Rashid Junjua, Moin-Ud-Din et al.

Source: Journal of Mathematics. 9/16/2026, Vol. 2026, p1-19. 19p.

Experimental Investigation and Theoretical Simulation of Resistivity Response to Relative Permeability Variation.

Authors: Guo, Zhihua Fan, Qi Li, Yuhao et al.

Source: Applied Sciences (2076-3417); Sep2026, Vol. 16 Issue 17, p8602, 23p

Composite optimization with indicator functions: stationary duality and a semismooth newton method.

Authors: Zhang, Penghe Xiu, Naihua Qi, Houduo

Source: Mathematical Programming; Sep2026, Vol. 219 Issue 1/2, p345-390, 46p

Nonlinear Transient Heat Conduction in Multilayer Slabs: Implicit Euler Time Discretization and Finite Difference Method with Newton Linearization.

Authors: Filipov, Stefan M. Hristov, Jordan

Source: Mathematics (2227-7390). Aug2026, Vol. 14 Issue 16, p2996. 39p.

Local convergence of a fifth-order Newton-type iterative method for solving systems of nonlinear equations.

Authors: Zhang, Le Wang, Xiaofeng

Source: AIMS Mathematics. 2026, Vol. 11 Issue 8, p1-15. 15p.

A Newton-type method for non-smooth under-determined systems of equations.

Authors: Pinta, Titus¹ (AUTHOR) titus.pinta@ensta.fr

Source: Numerical Algorithms. Aug2026, Vol. 102 Issue 4, p2651-2672. 22p.

Solving systems of nonlinear equations combining radial basis function neural network and Newton's method.

Authors: Lv, Shuaijun Li, Daolun Zha, Wenshu et al.

Source: Numerical Algorithms. Aug2026, Vol. 102 Issue 4, p2391-2406. 16p.

A modified generalized Newton method applied to solving absolute value equations.

Authors: Liu, Shuang Wang, Xiaofeng

Source: Electronic Research Archive. 2026, Vol. 34 Issue 8, p1-15. 15p.

PDE-constrained shape optimization with first-order and Newton-type methods in the W1,∞ topology.

Authors: Deckelnick, Klaus Herbert, Philip J. Hinze, Michael

Source: Optimization Methods & Software; Aug2026, Vol. 41 Issue 4, p868-894, 27p

Design and Implementation of a White-Box Geometric Constraint Solver.

Authors: Kasznár, Dávid¹ kasznardavid8@gmail.com

Source: Computer-Aided Design & Applications. 2026, Vol. 24 Issue 1, p55-67. 13p.

基于 Newton-GNN 的天然气管道系统 稳态仿真方法.

Alternate Title: A steady-state simulation method for natural gas pipeline systems based on Newton-GNN.

Authors: 杨毅 刁洪涛 陈洁 et al.

Source: Chemical Engineering of Oil & Gas / Shi You Yu Tian Ran Qi Hua Gong. Jun2026, Vol. 55 Issue 3, p164-174. 11p.

Subject Terms: *Graph neural networks, *Newton-Raphson method, *Generalization, *Natural gas pipelines, *Pipeline maintenance & repair, *Computer simulation

A Newton–Raphson‐Based Optimizer for the Optimal Generation Allocation Problem Considering Operation and Maintenance Costs of Renewable Energy Sources.

Authors: Pham, Ly Huu Quynh, Nguyen Vu Minh, Nguyen Van et al.

Source: International Transactions on Electrical Energy Systems. 6/29/2026, Vol. 2026, p1-26. 26p.

Subject Terms: *Newton-Raphson method, *Renewable energy sources, *Maintenance costs, *Load dispatching in electric power systems