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Sharp Bounds on Interval Polynomial Roots

✍ Scribed by Eldon R. Hansen; G. William Walster

Book ID: 110331024
Publisher: Springer
Year: 2002
Tongue: English
Weight: 84 KB
Volume: 8
Category: Article
ISSN: 1385-3139
DOI: 10.1023/a:1014797921296

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A be a matrix in Crxp such that R&Z) > -l/2 for all the eigenvalues of A and let {fl(A,'/2) (z)} be the normalized sequence of Laguerre matrix polynomials associated with A. In this paier, it is proved that n, (A,1/2) (x) = o(na(A)/z ln'-l(n)) and ni$,A+':/2' (x uniformly on bounded intervals, wher