Accession Number : AD0642895
Title : A GENERAL ROUTINE FOR SOLVING ALGEBRAIC EQUATIONS.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Ostrowski,A. ; Pereyra,V.
Report Date : FEB 1966
Pagination or Media Count : 34
Abstract : A general routine for solving polynomial equations of any degree, with real or complex coefficients and roots is developed, which is always convergent, independently of the choice of the starting point. A complete ALGOL 60 program is given in the appendix. The method is based primarily on the iteration of the gradient procedure combined with an accelerating procedure and some special routines necessary to ensure the convergence to a root of the given equation and not to a root of its derivative. (Author)
Descriptors : (*EQUATIONS, *STEEPEST DESCENT METHOD), POLYNOMIALS, ITERATIONS, ALGEBRA, COMPUTER PROGRAMMING, PROGRAMMING LANGUAGES
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE