Affiliated with RC | false |
The smallest eigenvalue of large Hankel matrices | |
Zhu, Mengkun1; Chen, Yang1; Emmart, Niall2; Weems, Charles2 | |
2018-10 | |
Source Publication | APPLIED MATHEMATICS AND COMPUTATION |
ISSN | 0096-3003 |
Volume | 334Pages:375-387 |
Abstract | We investigate the large N behavior of the smallest eigenvalue, lambda(N), of an (N + 1) x ( N + 1) Hankel (or moments) matrix H-N, generated by the weight w(x) = x(alpha)(1 - x)(beta), x is an element of [0, 1], alpha > 1, beta > 1. By applying the arguments of Szego, Widom and Wilf, we establish the asymptotic formula for the orthonormal polynomials P-n(z), z is an element of C \ [0, 1], associated with w(x), which are required in the determination of lambda(N). Based on this formula, we produce the expressions for lambda(N), for large N. |
Keyword | Asymptotics Smallest Eigenvalue Hankel Matrices Orthogonal Polynomials Parallel Algorithm |
DOI | 10.1016/j.amc.2018.04.012 |
URL | View the original |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000432790300028 |
Publisher | ELSEVIER SCIENCE INC |
The Source to Article | WOS |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Chen, Yang |
Affiliation | 1.Department of Mathematics, University of Macau, Avenida da Universidade, Taipa, Macau, China 2.College of Information and Computer Sciences, University of Massachusetts, Amherst, MA 01003, USA |
First Author Affilication | University of Macau |
Corresponding Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Zhu, Mengkun,Chen, Yang,Emmart, Niall,et al. The smallest eigenvalue of large Hankel matrices[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,334:375-387. |
APA | Zhu, Mengkun,Chen, Yang,Emmart, Niall,&Weems, Charles.(2018).The smallest eigenvalue of large Hankel matrices.APPLIED MATHEMATICS AND COMPUTATION,334,375-387. |
MLA | Zhu, Mengkun,et al."The smallest eigenvalue of large Hankel matrices".APPLIED MATHEMATICS AND COMPUTATION 334(2018):375-387. |
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