TY - JOUR
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 - http://www.scopus.com/inward/record.url?scp=56949108634&partnerID=8YFLogxK
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 -