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