Learning algebraic decompositions using Prony structures

Autor:	Kunis, Stefan, Römer, Tim, von der Ohe, Ulrich
Rok vydání:	2019
Předmět:	Mathematics - Commutative Algebra Mathematics - Numerical Analysis 13P25 94A12 (Primary) 13P10 15B05 30E05 65F30 (Secondary)
Zdroj:	Adv. in Appl. Math. 118 (2020), 102044, 43 pp
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aam.2020.102044
Popis:	We propose an algebraic framework generalizing several variants of Prony's method and explaining their relations. This includes Hankel and Toeplitz variants of Prony's method for the decomposition of multivariate exponential sums, polynomials (with respect to the monomial and Chebyshev bases), Gau{\ss}ian sums, spherical harmonic sums, taking also into account whether they have their support on an algebraic set. Comment: 33 pages; revised version. The third author was supported by an INdAM-DP-COFUND-2015/Marie Sk\l{}odowska-Curie Actions scholarship, grant number 713485
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.01547 Zobrazit plný text záznamu View this record from Arxiv