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Preprints, Working Papers, ...

A Sparse Flat Extension Theorem for Moment Matrices

Monique Laurent 1 Bernard Mourrain 2
2 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (... - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : In this note we prove a generalization of the flat extension theorem of Curto and Fialkow for truncated moment matrices. It applies to moment matrices indexed by an arbitrary set of monomials and its border, assuming that this set is connected to 1. When formulated in a basis-free setting, this gives an equivalent result for truncated Hankel operators.
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Preprints, Working Papers, ...
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https://hal.inria.fr/inria-00347022
Contributor : Bernard Mourrain <>
Submitted on : Saturday, December 13, 2008 - 2:13:33 PM
Last modification on : Monday, October 12, 2020 - 10:27:38 AM
Long-term archiving on: : Thursday, October 11, 2012 - 1:40:18 PM

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  • HAL Id : inria-00347022, version 1
  • ARXIV : 0812.2563

Citation

Monique Laurent, Bernard Mourrain. A Sparse Flat Extension Theorem for Moment Matrices. 2008. ⟨inria-00347022v1⟩

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