Positive definite Hankel matrix completions and Hamburger moment completions

Hayoung Choi, Farhad Jafari

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)217-237
Number of pages21
JournalLinear Algebra and Its Applications
Volume489
DOIs
StatePublished - Jan 15 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc. All rights reserved.

Keywords

  • 15B99
  • 44A60
  • 47A57
  • MSC primary 15A83
  • secondary 15B48

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