Polynomial–Exponential Decomposition From Moments

We analyze the decomposition problem of multivariate polynomial–exponential functions from their truncated series and present new algorithms to compute their decomposition. Using the duality between polynomials and formal power series, we first show how the elements in the dual of an Artinian algebr...

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Bibliographic Details
Published in:	Foundations of computational mathematics Vol. 18; no. 6; pp. 1435 - 1492
Main Author:	Mourrain, Bernard
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2018 Springer Nature B.V Springer Verlag
Subjects:	Algebra Algebraic Geometry Algorithms Applications of Mathematics Computer Science Convolution Decomposition Economics Eigenvectors Exponential functions Hankel matrices Interpolation Linear and Multilinear Algebras Math Applications in Computer Science Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Operators (mathematics) Partial differential equations Polynomials Power series Theorems Polynomial–exponential series 68W30 Prony Differential equation 14Q20 15B05 Artinian Hankel matrix Interpolation Gorenstein Moment 47B35 Sparse representation AMS classification: 14Q20 15B05 1
ISSN:	1615-3375, 1615-3383
Online Access:	Get full text
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