BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-67-63 ENTRY:: January 03, 1996 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Graeffe's method for eigenvalues TYPE:: Technical Report AUTHOR:: Polya, George DATE:: April 1967 PAGES:: 11 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. NOTES:: [Adminitrivia V1/Prg/19960103] END:: STAN//CS-TR-67-63