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GRAEFFE'S METHOD FOR EIGENVALUES.

Author: G Polya; STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE.
Publisher: Ft. Belvoir Defense Technical Information Center 24 APR 1967.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
Let an entire function F(z) of finite genus have infinitely many zeros which are all positive, and take real values for real z. Then it is shown how to give two-sided bounds for all the zeros of F in terms of the coefficients of the power series of F, and of coefficients obtained by Graeffe's algorithm applied to F.A simple numerical illustration is given for a Bessel function.
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Document Type: Book
All Authors / Contributors: G Polya; STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE.
OCLC Number: 227445538
Description: 13 pages

Abstract:

Let an entire function F(z) of finite genus have infinitely many zeros which are all positive, and take real values for real z. Then it is shown how to give two-sided bounds for all the zeros of F in terms of the coefficients of the power series of F, and of coefficients obtained by Graeffe's algorithm applied to F.A simple numerical illustration is given for a Bessel function.

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