Results 21 to 30 of about 75 (63)
Parallel Homotopy Algorithms to Solve Polynomial Systems
, 2006 Homotopy continuation methods to compute numerical approximations to all isolated solutions of a polynomial system are known as “embarrassingly parallel”, i.e.: because of their low communication overhead, these methods scale very well for a large number
Jan Verschelde, Anton Leykin, Yan Zhuang
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Fully developed mixed convection through a vertical porous channel with an anisotropic permeability: case of heat flux [PDF]
, 2015 The effect of anisotropy on the steady fully developed mixed convec- tion flow in a vertical porous channel is analytically studied. The side walls of the channel are prescribed by a constant heat flux and the flow at the entrance is upward, so that ...
FILIP, Diana Andrada +2 more
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Open MathematicsIn the field of applied sciences, systems are frequently modeled using mathematical frameworks that include systems of nonlinear algebraic equations. Identifying their roots, whether real or complex, is of critical importance.
Sandoval-Hernandez Mario A. +4 more
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Splitting the structured paths in stratified graphs. Application in Natural Language Generation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The concept of labeled stratified graph (LSG) introduces some method of knowledge representation. The inference process developed for this structures uses the paths of the stratified graphs, an order between the elementary arcs of a path and some results
Dănciulescu Dana, Colhon Mihaela
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A new bound on cofactors of sparse polynomials
Forum of Mathematics, SigmaWe prove that for polynomials $ f, g, h \in \mathbb {Z}[x] $ satisfying $ f = gh $ and $ f(0) \neq 0 $ , the $\ell _2$ -norm of the cofactor $ h $ is bounded by $$ \begin{align*} \left\Vert {h} \right\Vert{}_2\leq ...
Ido Nahshon, Amir Shpilka
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Optimal cubic Lagrange interpolation: Extremal node systems with minimal Lebesgue constant [PDF]
, 2015 In the theory of interpolation of continuous functions by algebraic polynomials of degree at most n − 1 > 2, the search for explicit analytic expressions of extremal node systems which lead to the minimal Lebesgue constant is still an intriguing topic in
RACK, Heinz-Joachim, VAJDA, Robert
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© Hindawi Publishing Corp. ON THE RESOLVENT OF AN IDEAL AND SOME APPLICATIONS
, 2002 We give an algorithm to compute a resolvent of an algebraic variety without com-puting its irreducible components; we decompose the radical of an ideal into prime ideals and we test the primality of a regular ideal.
Driss Bouziane, Abdelilah Kandri Rody
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Finite-dimensional flexible algebras associated with directed and weighted CW complexes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we study a link between directed and weighted CW complexes (also called configurations) and flexible algebras determining which configurations are associated with those algebras.
Ceballos Manuel
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Solving parameterized linear difference equations in terms of indefinite nested sums and products
, 2002 The described algorithms enable one to find all solutions of parameterized linear difference equations within ΠΣ-fields, a very general class of difference fields.
Carsten Schneider
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On the Decoupling of a Class of Linear Functional Systems
, 2014 Multivariate polynomial matrices arise from the treatment of functional linear systems such as systems described by partial differential equations, delay-differential equations or linear multidimensional discrete equations.
Mohamed S Boudellioua
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