Report Number: CS-TR-67-63
Institution: Stanford University, Department of Computer Science
Title: Graeffe's method for eigenvalues
Author: Polya, George
Date: April 1967
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.
http://i.stanford.edu/pub/cstr/reports/cs/tr/67/63/CS-TR-67-63.pdf