๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Zero distribution of matrix polynomials

โœ Scribed by Harry Dym; Dan Volok


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
267 KB
Volume
425
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Linear preservers of zeros of matrix pol
โœ LeRoy B. Beasley; Alexander E. Guterman; Sang-Gu Lee; Seok-Zun Song ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 258 KB
The zero distribution of the Tricomi-Car
โœ W.M.Y. Goh; J. Wimp ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 407 KB

In this paper, we improve our previous results concerning the asymptotic distribution of the zeros of the Tricomi-Carlitz polynomials. Our approach is a probabilistic one, motivated by the fact that the central limit theorem is simply a version of the weak law of laxge numbers whose distribution is

A note on asymptotic zero distribution o
โœ William F. Trench ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 163 KB

We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {p n } โˆž n=1 for which the coefficients in the three term recurrence relation are clustered at finite points. The proof uses a matrix argument motivated by a theorem of Tyrty

Orthogonal Matrix Polynomials: Zeros and
โœ Antonio J. Duran; Pedro Lopez-Rodriguez ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 730 KB

In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (P n ) n of orthogonal matrix polynomials on the real line with respect to a positive definite matrix of measures. Using these results, we show how to get an orthogonalizing matrix of measures for a