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
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
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
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
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
Efficient Derivative-Free Class of Seventh Order Method for Non-differentiable Equations
European Journal of Mathematical Analysis, 2023 Many applications from a wide variety of disciplines in the natural sciences and also in engineering are reduced to solving of an equation or a system of equations in a correspondingly chosen abstract area.
oannis K. Argyros +3 more
doaj +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
A derivative-free root-finding algorithm using exponential method and its implementation
BMC Research Notes, 2023 Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast.
Srinivasarao Thota +3 more
doaj +1 more source
Hybridization of Multi-Objective Deterministic Particle Swarm with Derivative-Free Local Searches
Mathematics, 2020 The paper presents a multi-objective derivative-free and deterministic global/local hybrid algorithm for the efficient and effective solution of simulation-based design optimization (SBDO) problems.
Riccardo Pellegrini +5 more
doaj +1 more source
Mathematics, 2023 High-order iterative techniques without derivatives for multiple roots have wide-ranging applications in the following: optimization tasks, where the objective function lacks explicit derivatives or is computationally expensive to evaluate; engineering ...
Sunil Kumar +2 more
doaj +1 more source