Results 21 to 30 of about 14,414,832 (247)
Derivative free Levenberg-Marquardt method for solving fuzzy nonlinear equation
, 2021 In this paper, we present a derivative-free computational method for solving fuzzy nonlinear equation. Derivative-free technique avoids computing the derivative by generating an estimate to the derivative.
I., Sumiati +7 more
core +1 more source
Foundations, 2022 We propose the semi-local convergence of two derivative-free, competing methods of order six to address non-linear equations. The sufficient convergence criteria are the same, making a direct comparison between them possible.
Ioannis K. Argyros +3 more
doaj +1 more source
A derivative-free Gauss–Newton method [PDF]
, 2019 We present DFO-GN, a derivative-free version of the Gauss–Newton method for solving nonlinear least-squares problems. DFO-GN uses linear interpolation of residual values to build a quadratic model of the objective, which is then used within a typical ...
Lindon Roberts +5 more
core +1 more source
Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
core +1 more source
Local convergence for composite Chebyshev-type methods
Communications in Advanced Mathematical Sciences, 2018 We replace Chebyshev's method for solving equations requiring the second derivative by a Chebyshev-type second derivative free method. The local convergence analysis of the new method is provided using hypotheses only on the first derivative in contrast ...
Santhosh George, İoannis K Argyros
doaj +1 more source
Ain Shams Engineering Journal, 2021 In this note, we propose a modification as an alternative to remove the assumption of uniformly monotone as assumed in Aliyu et al. (2019). Numerical experiment shows that the modification improves the numerical performance of the method.
Abdulkarim Hassan Ibrahim, Poom Kumam
doaj +1 more source
A method with inertial extrapolation step for convex constrained monotone equations
Journal of Inequalities and Applications, 2021 In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms.
Abdulkarim Hassan Ibrahim +3 more
doaj +1 more source
A new derivative-free method for solving nonlinear equations [PDF]
, 2010 This paper presents a new method for solving nonlinear equations. The method is free of derivatives and easy to implement. Although its convergence is linear, numerical experiments conducted indicate that its performance compares well not only with ...
Phiri, Patrick A., Makinde, O.D.
core +3 more sources
An Efficient Class of Traub–Steffensen-Type Methods for Computing Multiple Zeros
Axioms, 2019 Numerous higher-order methods with derivative evaluations are accessible in the literature for computing multiple zeros. However, higher-order methods without derivatives are very rare for multiple zeros.
Deepak Kumar +2 more
doaj +1 more source
Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations
Discrete Dynamics in Nature and Society, 2013 First, we make the Jain's derivative-free method optimal and subsequently increase its efficiency index from 1.442 to 1.587. Then, a novel three-step computational family of iterative schemes for solving single variable nonlinear equations is given.
Farahnaz Soleimani +2 more
doaj +1 more source