
Accession Number : AD0673673
Title : THREESTAGE VARIABLESHIFT ITERATION FOR POLYNOMIAL ZEROS AND ITS RELATION TO GENERALIZED RAYLEIGH ITERATION.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE
Personal Author(s) : Jenkins,M. A. ; Traub,J. F.
Report Date : 26 AUG 1968
Pagination or Media Count : 49
Abstract : The report describes a new threestage process for calculating the zeros of a polynomial with complex coefficients. The algorithm is similar in spirit to the twostage 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)
Descriptors : (*POLYNOMIALS, *ITERATIONS), (*COMPUTER PROGRAMMING, NUMERICAL METHODS AND PROCEDURES), COMPLEX NUMBERS, MATRICES(MATHEMATICS), CONVERGENCE, SEQUENCES(MATHEMATICS), ALGORITHMS
Subject Categories : Theoretical Mathematics
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE