Now showing items 1-10 of 38
Multivariate sobolev-type orthogonal polynomials
Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials ...
An asymptotic formula for the Koornwinder polynomials
(Elsevier Science, 2005)
Descartes' rule of signs for polynomial systems supported on circuits
(Oxford University Press, 2017-11)
We give a multivariate version of Descartes' rule of signs to bound the number of positive real roots of a system of polynomial equations in n variables with n+2 monomials, in terms of the sign variation of a sequence ...
On sign conditions over real multivariate polynomials
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a family of real polynomials defining regular ...
Mixed orthogonality on the unit ball
We consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed ...
Scattering theory of discrete (pseudo) Laplacians on a Weyl chamber
(Johns Hopkins University Press, Journals Publishing Division, 2005)
Asymptotic analysis of (partially) orthogonal polynomials associated with root systems
(Oxford University Press, 2008)
Generating Invariants For Non-linear Loops By Linear Algebraic Methods
(SPRINGERNEW YORK, 2015)
Twofold adaptive partition of unity implicits
Partition of Unity Implicits (PUI) has been recently introduced for surface reconstruction from point clouds. In this work, we propose a PUI method that employs a set of well-observed solutions in order to produce geometrically ...