How well can the concept of Padé approximant be generalized to the multivariate case?

From MaRDI portal
Publication:1301945

DOI10.1016/S0377-0427(99)00028-XzbMath0945.41012MaRDI QIDQ1301945

Annie A. M. Cuyt

Publication date: 8 October 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)




Related Items (24)

Unnamed ItemPolynomial-exponential decomposition from momentsMüntz-Legendre neural network construction for solving delay optimal control problems of fractional order with equality and inequality constraintsOn the fast solution of Toeplitz-block linear systems arising in multivariate approximation theoryOn the size of multivariante polynomial lemniscates and the convergence of rational approximantsMultivariate Frobenius-Padé approximants: properties and algorithmsReliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperateLearning algebraic decompositions using Prony structuresNumerical solution of two-dimensional weakly singular Volterra integral equations of the first kind via bivariate rational approximantsTwo-dimensional generalized moment representations and rational approximations of functions of two variablesSome remarks on Fitzpatrick and Flynn's Gröbner basis technique for Padé approximation.Adapted multivariate Padé approximationConvergence analysis of Padé approximations for Helmholtz frequency response problemsMüntz-Legendre spectral collocation method for solving delay fractional optimal control problemsGröbner bases and generalized Padé approximationA new approach for solving a class of delay fractional partial differential equationsComparing numerical methods for solving time-fractional reaction-diffusion equationsExplicit construction of general multivariate Padé approximants to an Appell functionGeneralizations of orthogonal polynomialsGeneral order multivariate Padé approximants for Pseudo-multivariate functions. IIProperties of multivariate homogeneous orthogonal polynomialsIdentification of discontinuous nonlinear systems via a multivariate Padé approachGeneral order multivariate Padé approximants for pseudo-multivariate functionsA new rational approximation technique based on transformational high dimensional model representation



Cites Work


This page was built for publication: How well can the concept of Padé approximant be generalized to the multivariate case?