Sauer, T.: Polynomial interpolation in several variables: Lattices, differences, and ideals. In: M. Buh- mann, W. Hausmann, K. Jetter, W. Schaback, J. Sto¨ckler (eds.) Multivariate Approximation and In- terpolation, pp. 189-228. Elsevier (2006)T. Sauer. Polynomial interpolation in ...
Multivariate polynomial interpolation. Advances in Computational Mathematics 12: 377–410 MATH MathSciNetGasca, M., Sauer, T. (2000) Polynomial interpolation in several variables. Adv. Comput. Math. 12: pp. 377-410Gasca, M., Sauer, T.: Polynomial interpolation in several variables, in ...
Polynomial equation in several variables What is the most general solution to an equation of the form: a_1 p_1 + \ldots + a_n p_n =0 where p_i are given polynomials in several (N) variables with no common factor (i.e. their GCD is 1) and a_n are the polynomials we are ...
of the polynomial when supplied with values for the variables. In Kaltofen and Trager (1988) it is shown that this representation is applicable to several problems such as multivariate polynomial factorization. Clearly, the process of converting a polynomial given by a black box back to the repres...
Polynomial interpolation and residue cur ... Search in: Advanced search Complex Variables and Elliptic Equations An International Journal Volume 67, 2022 -Issue 7 Submit an articleJournal homepage 753 Views 0 CrossRef citations to date 0 Altmetric...
In Section 1 we introduce the univariate polynomial interpolation problem, for which we give two useful error formulas. The conditioning of polynomial interpolation is discussed in Section 2. A review of some results for the Lebesgue constants and the behavior of the Lebesgue functions in view of ...
Chebyshev polynomialscrop up in many areas of calculus, includingnumerical integration,orthogonal polynomialsand spectral methods for partialdifferential equations. They can also be used for curve fitting (finding afunctionthat models a curve),interpolationand in multiple other areas ofnumerical analysis. ...
resultsshowthatthemethodismoreefficientthanfactorinMaple9.5 forpolynomialswithmorevariablesandhigherdegree. Keywords:Factorizationofmultivariatepolynomials,Interpolation methods,NumericalComputation,DecompositionofAffineVariety. ∗TheworkispartiallysupportedbyChina973ProjectNKBRPC-2004CB318003. ...
Although polynomials have several attractive features, polynomial interpolation of a given function often has the drawback of producing approximations that may be wildly oscillatory. To overcome this difficulty we divide the interval of interest into small subintervals and in each subinterval consider polyn...
The coordinates of variables of types III through V can be obtained via 1D, 2D or 3D polynomial interpolation of the nodal data. In this work in particular, we consider one- and two-dimensional domains; the results for these types of variables are given in Section 3. The goal is to ...