@inproceedings{99ed04c0f3a94043946284692950a865,
title = "Prony systems via decimation and homotopy continuation",
abstract = "We consider polynomial systems of Prony type, appearing in many areas of mathematics. Their robust numerical solution is considered to be dificult, especially in\near-colliding{"} situations. We transform the nonlinear part of the Prony system into a Hankel-type polynomial system. Combining this representation with a recently discovered \decimation{"} technique, we present an algorithm which applies homotopy continuation on a sequence of modified Hankel-type systems as above. In this way, we are able to solve for the nonlinear variables of the original system with high accuracy when the data is perturbed.",
keywords = "Decimation, Prony systems",
author = "Dmitry Batenkov",
year = "2014",
doi = "10.1145/2631948.2631961",
language = "الإنجليزيّة",
isbn = "9781450329637",
series = "Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, SNC 2014",
publisher = "Association for Computing Machinery",
pages = "59--60",
booktitle = "Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, SNC 2014",
address = "الولايات المتّحدة",
note = "2014 Symposium on Symbolic-Numeric Computation, SNC 2014 ; Conference date: 28-07-2014 Through 31-07-2014",
}