GRAEFFE'S METHOD FOR EIGENVALUES.

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.

Document Details

Document Type
Technical Report
Publication Date
Apr 24, 1967
Accession Number
AD0650627

Entities

People

  • G. Polya

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Bessel Functions
  • Coefficients
  • Eigenvalues
  • Functions (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Power Series

Fields of Study

  • Mathematics

Readers

  • Linear Algebra