Creative Telescoping for Parametrised Integration and Summation
Frédéric Chyzak (2011)
Les cours du CIRM
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Displaying similar documents to “An algorithm for extending functions in hypercubes.”
Creative Telescoping for Parametrised Integration and Summation
On first experiences with the implementation of a Newton based linear programming approach.
Wanka, A. (1989)
Séminaire Lotharingien de Combinatoire [electronic only]
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On the two-dimensional moment problem.
Zagorodnyuk, S. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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The sum-product algorithm: algebraic independence and computational aspects
Francesco M. Malvestuto (2013)
Kybernetika
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The sum-product algorithm is a well-known procedure for marginalizing an “acyclic” product function whose range is the ground set of a commutative semiring. The algorithm is general enough to include as special cases several classical algorithms developed in information theory and probability theory. We present four results. First, using the sum-product algorithm we show that the variable sets involved in an acyclic factorization satisfy a relation that is a natural generalization of...
Dynamic approach to optimum synthesis of a four-bar mechanism using a swarm intelligence algorithm
Edgar A. Portilla-Flores, Maria B. Calva-Yáñez, Miguel G. Villarreal-Cervantes, Paola A. Niño Suárez, Gabriel Sepúlveda-Cervantes (2014)
Kybernetika
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This paper presents a dynamic approach to the synthesis of a crank-rocker four-bar mechanism, that is obtained by an optimization problem and its solution using the swarm intelligence algorithm called Modified-Artificial Bee Colony (M-ABC). The proposed dynamic approach states a mono-objective dynamic optimization problem (MODOP), in order to obtain a set of optimal parameters of the system. In this MODOP, the kinematic and dynamic models of the whole system are consider as well as a...
An efficient ART1 algorithm based on vector computation.
Popoviciu, Nicolae (2004)
General Mathematics
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On the Hopfield algorithm. Foundations and examples.
Popoviciu, Nicolae, Boncuţ, Mioara (2005)
General Mathematics
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Linearizability of a polynomial system
Diana Doličanin, Valery G. Romanovski (2005)
Kragujevac Journal of Mathematics
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A class of transcendental numbers with explicit g-adic expansion and the Jacobi-Perron algorithm
Jun-ichi Tamura (1992)
Acta Arithmetica
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In this paper, we give transcendental numbers φ and ψ such that (i) both φ and ψ have explicit g-adic expansions, and simultaneously, (ii) the vector has an explicit expression in the Jacobi-Perron algorithm (cf. Theorem 1). Our results can be regarded as a higher-dimensional version of some of the results in [1]-[5] (see also [6]-[8], [10], [11]). The numbers φ and ψ have some connection with algebraic numbers with minimal polynomials x³ - kx² - lx - 1 satisfying (1.1) k ≥ l ≥0, k...