Small eigenvalues of large Hankel matrices

Journal of Physics A: Mathematical and General

Volumn 32, Issue 42, 1999, Pages 7305-7315

  Chen, Yang ^a   Lawrence, Nigel ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033595638     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/42/306     Document Type: Article

References (12)

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2. Berg C, Chen Y and Ismail M E H 1999 Small eigenvalues of large Hankel matrices: the indeterminate case Preprint xxx.soton.ac.uk/abs/math/9907110
3. Brent R P 1981 Technical Report TR-CS-81-08, MP user's guide (4th edn) Australian National University
4. Chen Y and Ismail MEH 1997 Thermodynamic relations the Hermitian matrix ensembles J. Phys. A: Math. Gen. 30 6633-54
5. Chen Y and Lawrence N 1998 On the linear statistics of Hermitian random matrices J. Phys. A: Math. Gen. 31 1141-52
6. Golub G H and Van Loan C F 1983 Matrix Computations (Baltimore, MD: Johns Hopkins University Press)
7. Gradshteyn I S and Ryzhik IM 1994 Table of integals, Series and Products (New York: Academic)
8. Szegö G 1982 On some Hermitian forms associated with two given curves of the complex plane Collected Papers vol 2 (Basle: Birkhäuser) p 666
9. Szegö G 1975 Orthogonal Polynomials 4th edn (Providence, RI: American Mathematical Society)
10. Szegö G 1982 Hankel forms (English translation of A Hankel - féle formákról) Collected Papers vol 1 (Basle: Birkhäuser) p 111
11. Widom H and Wilf H S 1966 Small eigenvalues of large Hankel matrices Proc. Am. Soc. 17 338-44
12. William H et al 1989 Numerical Recipes: The Art of Scientific Computing (Cambridge: Cambridge University Press)