Smallest eigenvalues of Hankel matrices for exponential weights

被引:21
作者
Chen, Y
Lubinsky, DS [1 ]
机构
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
关键词
D O I
10.1016/j.jmaa.2004.01.032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain the rate of decay of the smallest eigenvalue of the Hankel matrices [GRAPHICS] for a general class of even exponential weights W-2 = exp(-2Q) on an interval I. More precise asymptotics for more special weights have been obtained by many authors. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:476 / 495
页数:20
相关论文
共 13 条
[11]  
SZEGO G, 1982, COLLECT PAPERS, V2, P66
[12]  
TOTIK V, 1994, SPRINGER LECT NOTES, V1300
[13]   SMALL EIGENVALUES OF LARGE HANKEL MATRICES [J].
WIDOM, H ;
WILF, H .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (02) :338-&