Results 21 to 30 of about 15,511,573 (358)
Enhancing Equation Solving: Extending the Applicability of Steffensen-Type Methods
Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods.
Ramandeep Behl +2 more
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Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions
We investigate the local convergence of the Gauss-Newton-Kurchatov method for solving nonlinear least squares problems. This method is a combination of Gauss-Newton and Kurchatov methods and it is used for problems with the decomposition of the operator.
S.M. Shakhno, H.P. Yarmola
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Three-Step Derivative-Free Method of Order Six
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
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Value distribution of meromorphic solutions of certain difference Painlevé III equations
In this paper, we investigate the difference Painlevé III equations w(z+1)w(z−1)(w(z)−1)2=w2(z)−λw(z)+μ $w(z+1)w(z-1)(w(z)-1)^{2}=w^{2}(z)-\lambda w(z)+\mu$ ( λμ≠0 $\lambda\mu\neq 0$) and w(z+1)w(z−1)(w(z)−1)2=w2(z) $w(z+1)w(z-1)(w(z)-1)^{2}=w^{2}(z ...
Yunfei Du +3 more
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Computational Divided Differencing and Divided-Difference Arithmetics [PDF]
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Reps, Thomas W., Rall, Louis B.
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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
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Under the same conditions, we propose the extended comparison between two derivative free schemes of order six for addressing equations. The existing convergence technique used the standard Taylor series approach, which requires derivatives up to order ...
Samundra Regmi +3 more
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ON DIVIDED-DIFFERENCE SEMIGROUPS [PDF]
The Newtonian divided-difference operators generate the nil-Coxeter algebra and semigroup. A bijective correspondence between the nil-Coxeter semigroup and the symmetric group is used to provide braid-like diagrams for the former, and corresponding Reidemeister-type moves for the relations.
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On Some Properties of the Operator, Defined on Class of Analytic in the Half-Plane Functions
In present paper the properties of the operator introduced by authors, which is defined on special class of n-normalized analytic in the half-plane functions are investigated. This operator is closely related with automorphism of a half-plane.
J. Kirjackis, E. G. Kiriyatzkii
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Differential Evolution Optimized a Second-Order Divided Difference Particle Filter
In order to improve the estimation accuracy of particle filter algorithm in a nonlinear system state estimation problem, a new algorithm based on the second-order divided difference filter to generate the proposed distribution and the differential ...
Ting Cao +3 more
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