THREE-STAGE VARIABLE-SHIFT ITERATION FOR POLYNOMIAL ZEROS AND ITS RELATION TO GENERALIZED RAYLEIGH ITERATION.

Abstract

The report describes a new three-stage process for calculating the zeros of a polynomial with complex coefficients. The algorithm is similar in spirit to the two-stage algorithms studied by Traub in a series of papers. The algorithm is restriction free, that is, it converges for any distribution of zeros. A proof of global convergence is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 26, 1968
Accession Number
AD0673673

Entities

People

  • J. F. Traub
  • M. A. Jenkins

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Convergence
  • Cooperation
  • Iterations
  • Mathematics
  • Polynomials

Readers

  • Linear Algebra
  • Theoretical Analysis.