Results 1 to 10 of about 306,033 (284)
Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the numerical solution for the discretization of semilinear elliptic complementarity problems. A monotone algorithm is established based on the upper and lower solutions of the problem.
Jinping Zeng, Haowen Chen, Hongru Xu
doaj +2 more sources
Exponential Convergence Bounds using Integral Quadratic Constraints [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015 The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements.
Boczar, Ross +2 more
core +2 more sources
Towards efficient solutions: A novel approach to quadratic nonlinearity in boundary value problems. [PDF]
PLoS ONEThe Newton method is a classical method for solving systems of nonlinear equations and offers quadratic convergence. The order of convergence of the Newton method is optimal as it requires one evaluation for the system of nonlinear equations and the ...
Salima Kouser +5 more
doaj +2 more sources
Caputo-Fabrizio approach to numerical fractional derivatives
Bibechana, 2023 Fractional calculus is an essential tool in every area of science today. This work gives the quadratic interpolation-based L1-2 formula for the Caputo-Fabrizio derivative, a numerical technique for approximating the fractional derivative.
Shankar Pariyar, Jeevan Kafle
doaj +3 more sources
International Journal of Analysis and Applications, 2023 In this paper, a second order singularly perturbed differential difference equation with both the negative and positive shifts is considered. A fitted non-polynomial spline approach is applied to solve the problem.
Kumar Ragula +2 more
doaj +1 more source
AIMS Mathematics, 2022 The Levenberg-Marquardt method is one of the most important methods for solving systems of nonlinear equations and nonlinear least-squares problems. It enjoys a quadratic convergence rate under the local error bound condition.
Lin Zheng, Liang Chen, Yanfang Ma
doaj +1 more source
The parameter-Newton iteration for the second-order cone linear complementarity problem
Electronic Research Archive, 2022 In this paper, we propose the parameter-Newton (PN) method to solve the second-order linear complementarity problem (SOCLCP). The key idea of PN method is that we transfer the SOCLCP into a system of nonlinear equations by bringing in a parameter.
Peng Zhou, Teng Wang
doaj +1 more source
Algorithms, 2022 This paper addresses the problem of the power flow analysis of bipolar direct current (DC) networks considering unbalanced loads and the effect of a neutral wire, which may be solidly grounded or non-grounded.
Simón Sepúlveda-García +2 more
doaj +1 more source
On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient
Mathematics, 2023 The main results of the study of the convergence rate of quasi-Newton minimization methods were obtained under the assumption that the method operates in the region of the extremum of the function, where there is a stable quadratic representation of the ...
Vladimir Krutikov +3 more
doaj +1 more source
IEEE Access, 2019 The traditional linear quadratic optimal control can be summarized as finding the state feedback controller so that the closed-loop system is stable and the performance index is minimum.
Kai Zhang, Suo-Liang Ge
doaj +1 more source