Results 11 to 20 of about 4,917,341 (287)
Multivariate Divided Differences. I: Basic Properties
Within the theory of spline functions, there is always great interest in divided differences, since they provide one possibility to define \(B\)- splines, i.e. splines with minimal support. In the paper under consideration, which is part of the author's doctoral thesis, a new type of generalization of the univariate divided differences to the ...
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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 one generalization of Wronskian
In this article the properties of the specially introduced determinant, elements of which are the divided differences in different orders are studied.
Eduardas Kirjackis
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Generalized Iterative Method of Order Four with Divided Differences
Numerous applications from diverse disciplines are formulated as an equation or system of equations in abstract spaces such as Euclidean multidimensional, Hilbert, or Banach, to mention a few.
Samundra Regmi +2 more
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Resultant of an equivariant polynomial system with respect to the symmetric group [PDF]
Given a system of n homogeneous polynomials in n variables which is equivariant with respect to the canonical actions of the symmetric group of n symbols on the variables and on the polynomials, it is proved that its resultant can be decomposed into a ...
Busé, Laurent, Karasoulou, Anna
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We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreover,
Ioannis Argyros +2 more
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Local convergence for composite Chebyshev-type methods
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
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The spatiotemporal characteristics of 0 – 24 goal polo [PDF]
Global positioning systems (GPS) have recently been shown to reliably quantify the spatiotemporal characteristics of Polo, with the physiological demands of Polo play at low and high goal levels also investigated.
Best, Russell, Standing, Regan J
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Integer-valued polynomials over matrices and divided differences
Let $D$ be an integrally closed domain with quotient field $K$ and $n$ a positive integer. We give a characterization of the polynomials in $K[X]$ which are integer-valued over the set of matrices $M_n(D)$ in terms of their divided differences.
Peruginelli, Giulio
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Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions
The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences ...
Ioannis K. Argyros +2 more
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