Derivative free iterative simultaneous method for finding distinct roots of polynomial equation
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
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A Derivative-Free Method for Structured Optimization Problems [PDF]
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.
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An optimal fourth-order second derivative free iterative method for nonlinear scientific equations
In the present paper, we develop an efficient second derivative free two-step optimal fourth-order iterative method for nonlinear equations. We explore the convergence criteria of the proposed method and also exhibit its validity and efficiency by ...
Ghulam Akbar Nadeem +2 more
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Dual-Topology Hamiltonian-Replica-Exchange Overlap Histogramming Method to Calculate Relative Free Energy Difference in Rough Energy Landscape [PDF]
A novel overlap histogramming method based on Dual-Topology Hamiltonian-Replica-Exchange simulation technique is presented to efficiently calculate relative free energy difference in rough energy landscape, in which multiple conformers coexist and are ...
Bitter-Putzer, Ryan +4 more
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An Optimal Derivative Free Family of Chebyshev–Halley’s Method for Multiple Zeros
In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–Halley’s iterative technique to solve the nonlinear equation having the multiple roots. The designed scheme makes use of the weight function and one parameter α
Ramandeep Behl +3 more
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Derivative-Free Optimal Iterative Methods
AbstractIn this study, we develop an optimal family of derivative-free iterative methods. Convergence analysis shows that the methods are fourth order convergent, which is also verified numerically. The methods require three functional evaluations during each iteration. Though the methods are independent of derivatives, computa-
Khattri, S. K., Agarwal, R. P.
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Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots
We suggest a derivative-free optimal method of second order which is a new version of a modification of Newton’s method for achieving the multiple zeros of nonlinear single variable functions.
Deepak Kumar +2 more
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In this paper, we propose an inertial derivative-free projection method for solving convex constrained nonlinear monotone operator equations (CNME). The method incorporates the inertial step with an existing method called derivative-free projection (DFPI)
Auwal Bala Abubakar +2 more
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Implementation of novel methods of global and nonsmooth optimization : GANSO programming library [PDF]
We discuss the implementation of a number of modern methods of global and nonsmooth continuous optimization, based on the ideas of Rubinov, in a programming library GANSO.
G. Beliakov +4 more
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On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence
A number of optimal order multiple root techniques that require derivative evaluations in the formulas have been proposed in literature. However, derivative-free optimal techniques for multiple roots are seldom obtained.
Janak Raj Sharma +2 more
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