Positive definite Hankel matrix completions and Hamburger moment completions

Hayoung Choi; Farhad Jafari

doi:10.1016/j.laa.2015.10.008

Positive definite Hankel matrix completions and Hamburger moment completions

Hayoung Choi, Farhad Jafari

Research output: Contribution to journal › Article › peer-review

2 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 language	English (US)
Pages (from-to)	217-237
Number of pages	21
Journal	Linear Algebra and Its Applications
Volume	489
DOIs	https://doi.org/10.1016/j.laa.2015.10.008
State	Published - Jan 15 2016
Externally published	Yes

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© 2015 Elsevier Inc. All rights reserved.

Keywords

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

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10.1016/j.laa.2015.10.008

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AU - Jafari, Farhad

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AB - 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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KW - 47A57

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KW - secondary 15B48

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SP - 217

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Positive definite Hankel matrix completions and Hamburger moment completions

Abstract

Bibliographical note

Keywords

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