Results 1 to 10 of about 259,580 (161)
A New Derivative-Free Method to Solve Nonlinear Equations
Mathematics, 2021 A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated.
Beny Neta
doaj +3 more sources
Derivative free iterative simultaneous method for finding distinct roots of polynomial equation
Alexandria Engineering Journal, 2020 In this article, we present a new derivative free simultaneous method for determining in particular all the distinct roots of polynomial equation. A modification in Weierstrass correction is used to construct tenth order derivative free simultaneous ...
Nazir Ahmad Mir +4 more
doaj +3 more sources
A kernel derivative free SPH method
Results in Applied Mathematics, 2023 Based on smooth particle hydrodynamics (SPH) method, this paper proposes the concept of kernel function moment and studies its properties, and puts forward the KDF-SPH (Kernel Derivative Free SPH: KDF-SPH) method.
Dongyan Feng, Rahmatjan Imin
doaj +3 more sources
Discrete Gradient Method: Derivative-Free Method for Nonsmooth Optimization
Journal of Optimization Theory and Applications, 2007 The paper of A. M. Bagirov, B. Karasözen and M. Sezer is a valuable contribution to the numerical-algorithmical part of unconstrained continuous optimization, in fact, to its nonsmooth version, and the corresponding theory is provided, too. It stands in the tradition of nonsmooth analysis and optimization, but it benefits from some insight and ...
Adil Bagirov +2 more
exaly +3 more sources
An optimized derivative-free form of the Potra–Pták method
Mathematical and Computer Modelling, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fazlollah Soleymani +2 more
exaly +2 more sources
Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Journal of Numerical Analysis and Approximation Theory, 2020 Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference.
Beny Neta
doaj +7 more sources
A Derivative-Free Method for Structured Optimization Problems [PDF]
SIAM Journal on Optimization, 2021 Structured optimization problems are ubiquitous in fields like data science and engineering. The goal in structured optimization is using a prescribed set of points, called atoms, to build up a solution that minimizes or maximizes a given function. In the present paper, we want to minimize a black-box function over the convex hull of a given set of ...
Cristofari A., Rinaldi F.
openaire +5 more sources
A derivative-free optimisation method for global ocean biogeochemical models [PDF]
Geoscientific Model Development, 2022 The skill of global ocean biogeochemical models, and the earth system models in which they are embedded, can be improved by systematic calibration of the parameter values against observations. However, such tuning is seldom undertaken as these models are
S. Oliver +4 more
doaj +1 more source
Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 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