Results 11 to 20 of about 1,728,945 (251)
A Maximum Correntropy Divided Difference Filter for Cooperative Localization
This paper derives a new maximum correntropy divided difference filter (DDF) to address the heavy-tailed measurement noise induced by non-Gaussian measurements in cooperative localization of autonomous underwater vehicles.
Chengjiao Sun +3 more
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On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices
The main aim of this paper is the development of suitable bases that enable the direct series representation of orthogonal polynomial systems on nonuniform lattices (quadratic lattices of a discrete or a q-discrete variable). We present two bases of this
Salifou Mboutngam +3 more
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A divided difference expansion of a divided difference
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Robust Huber-based iterated divided difference filtering with application to cooperative localization of autonomous underwater vehicles. [PDF]
Gao W, Liu Y, Xu B.
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In this paper, we provide a formal proof of the existence of a polynomial solution of fixed degree for a second-order divided-difference equation of the hypergeometric type on non-uniform lattices, generalizing therefore previous work proving existence ...
Mama Foupouagnigni, Salifou Mboutngam
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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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Divided differences of implicit functions [PDF]
Under general conditions, the equation g ( x , y ) = 0 g(x,y) = 0 implicitly defines y y locally as a function of x x . In this article, we express divided differences of y y in terms of bivariate divided differences of ...
Muntingh, Georg, Floater, Michael
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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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