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

University of Wyoming

Research output: Contribution to journal › Article › peer-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 language	English
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 - 15 Jan 2016

Keywords

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

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10.1016/j.laa.2015.10.008

Cite this

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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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AU - Jafari, Farhad

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N2 - 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.

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.

KW - 15B99

KW - 44A60

KW - 47A57

KW - MSC primary 15A83

KW - secondary 15B48

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DO - 10.1016/j.laa.2015.10.008

M3 - Article

AN - SCOPUS:84946223912

SN - 0024-3795

VL - 489

SP - 217

EP - 237

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Positive definite Hankel matrix completions and Hamburger moment completions

Abstract

Keywords

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