Results 1 to 10 of about 8,295 (213)
Function Generation Synthesis of the Four-bar Linkage Based on Four and Five Precision Points using Newton-HCM [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2022 The length values selection for a determined type of linkage to achieve the necessary task, dimensional synthesis, is classified into three classes based on the mechanism’s task: function generation, path generation, and motion generation.
Seyyed Mojtaba Varedi-Koulaei
doaj +1 more source
Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
doaj +1 more source
Application of Newton’s method to solve optimization geodetic tasks [PDF]
E3S Web of Conferences, 2021 The article provides general information on nonlinear methods of programming. The algorithm for determining the minimum of various target functions by Newton’s method of the second order is considered.
Bykasov D. A. +2 more
doaj +1 more source
ON ONE MODEL INTEGRAL-DIFFERENTIAL BERNULL EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The model integro-differential Bernlulli equation is considered in the paper. This equation was reduced to a differential equation with derivatives of fractional orders and solved numerically with the help of Newton’s iteration method.
Myshkin S.V.
doaj +1 more source
New Improvement of the Domain of Parameters for Newton’s Method
Mathematics, 2020 There is a need to extend the convergence domain of iterative methods for computing a locally unique solution of Banach space valued operator equations. This is because the domain is small in general, limiting the applicability of the methods.
Cristina Amorós +5 more
doaj +1 more source
Algorithms, 2015 This paper is dedicated to the study of continuous Newton’s method, which is a generic differential equation whose associated flow tends to the zeros of a given polynomial.
José M. Gutiérrez
doaj +1 more source
An accelerated version of Newton’s method with convergence order 3+1
Results in Applied Mathematics, 2019 A root-finding method is developed that, like Newton’s Method, evaluates both the function and its first derivative once per iteration, but the new method converges at the rate 3+1, and moreover, it’s asymptotic error constant is proportional to the ...
Trevor J. McDougall +2 more
doaj +1 more source
On the Solution of Equations by Extended Discretization
Computation, 2020 The method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found.
Gus I. Argyros +4 more
doaj +1 more source
Computing Weighted Analytic Center for Linear Matrix Inequalities Using Infeasible Newton’s Method
Journal of Mathematics, 2015 We study the problem of computing weighted analytic center for system of linear matrix inequality constraints. The problem can be solved using Standard Newton’s method.
Shafiu Jibrin
doaj +1 more source
Developments of Newton’s Method under Hölder Conditions
European Journal of Mathematical Analysis, 2022 The semi-local convergence criteria for Newton’s method are weakened without new conditions. Moreover, tighter error distances are provided as well as a more precise information on the location of the solution.
Samundra Regmi +3 more
doaj +1 more source