A note on the spectral for real Hankel matrices

Xiang Wang; Linzhang Lu; Chuanxi Zhu; Qiang Niu

doi:10.1016/j.amc.2008.09.028

A note on the spectral for real Hankel matrices

Xiang Wang^*
, Linzhang Lu
, Chuanxi Zhu
, Qiang Niu

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Driessel [K.R. Driessel, Private communication, 1991] posed the following open-problem: Characterize all n-tuples of real numbers which can serve as n-tuples of eigenvalues of some n × n real Hankel matrices. Miroslav Fiedler has given two necessary conditions for this problem in [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320]. In this paper we shall completely present the necessary conditions for such spectral and generalize partial results of [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320].

Original language	English
Pages (from-to)	994-996
Number of pages	3
Journal	Applied Mathematics and Computation
Volume	206
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.09.028
Publication status	Published - 15 Dec 2008
Externally published	Yes

Keywords

Eigenvalues
Hankel matrices
Spectral
V.Neumann inequalities

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10.1016/j.amc.2008.09.028

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title = "A note on the spectral for real Hankel matrices",

abstract = "Driessel [K.R. Driessel, Private communication, 1991] posed the following open-problem: Characterize all n-tuples of real numbers which can serve as n-tuples of eigenvalues of some n × n real Hankel matrices. Miroslav Fiedler has given two necessary conditions for this problem in [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320]. In this paper we shall completely present the necessary conditions for such spectral and generalize partial results of [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320].",

keywords = "Eigenvalues, Hankel matrices, Spectral, V.Neumann inequalities",

author = "Xiang Wang and Linzhang Lu and Chuanxi Zhu and Qiang Niu",

note = "Funding Information: This work is supported by National Natural Science Foundation of China No. 10761007, Natural Science Foundation of Jiangxi, China No. 2007GQS2063 and the start-up fund of Nanchang University. ",

year = "2008",

month = dec,

day = "15",

doi = "10.1016/j.amc.2008.09.028",

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journal = "Applied Mathematics and Computation",

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T1 - A note on the spectral for real Hankel matrices

AU - Wang, Xiang

AU - Lu, Linzhang

AU - Zhu, Chuanxi

AU - Niu, Qiang

N1 - Funding Information: This work is supported by National Natural Science Foundation of China No. 10761007, Natural Science Foundation of Jiangxi, China No. 2007GQS2063 and the start-up fund of Nanchang University.

PY - 2008/12/15

Y1 - 2008/12/15

N2 - Driessel [K.R. Driessel, Private communication, 1991] posed the following open-problem: Characterize all n-tuples of real numbers which can serve as n-tuples of eigenvalues of some n × n real Hankel matrices. Miroslav Fiedler has given two necessary conditions for this problem in [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320]. In this paper we shall completely present the necessary conditions for such spectral and generalize partial results of [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320].

AB - Driessel [K.R. Driessel, Private communication, 1991] posed the following open-problem: Characterize all n-tuples of real numbers which can serve as n-tuples of eigenvalues of some n × n real Hankel matrices. Miroslav Fiedler has given two necessary conditions for this problem in [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320]. In this paper we shall completely present the necessary conditions for such spectral and generalize partial results of [M. Fiedler, Spectral properties of real Hankel matrices, Contemporary Mathematics 280 (2001) 313-320].

KW - Eigenvalues

KW - Hankel matrices

KW - Spectral

KW - V.Neumann inequalities

UR - https://www.scopus.com/pages/publications/56949108634

U2 - 10.1016/j.amc.2008.09.028

DO - 10.1016/j.amc.2008.09.028

M3 - Article

AN - SCOPUS:56949108634

SN - 0096-3003

VL - 206

SP - 994

EP - 996

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

A note on the spectral for real Hankel matrices

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Keywords

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