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arXiv · 1509.06296

Positive definite Hankel matrix completions and Hamburger moment completions

Hayoung Choi·Farhad Jafari
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Abstract

In this paper we give solutions to Hamburger moment problems with missing entries. The problem of completing partial positive sequences is considered. The main result is a characterization of positive definite completable patterns, namely patterns that guarantee the existence of Hamburger moment completion of a partial positive definite sequence. Moreover, several patterns which are not positive definite completable are given.

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BibTeXRIS

Hayoung Choi, Farhad Jafari. 2015-09-21. Positive definite Hankel matrix completions and Hamburger moment completions. https://arxiv.org/abs/1509.06296

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