Accession Number : AD0701128

Title :   A MULTIPLICITY-INDEPENDENT, GLOBAL ITERATION FOR MEROMORPHIC FUNCTIONS.

Descriptive Note : Interim technical rept. no. 24,

Corporate Author : TEXAS UNIV AUSTIN COMPUTATION CENTER

Personal Author(s) : McDonald,Alvis E.

Report Date : NOV 1969

Pagination or Media Count : 116

Abstract : A result of E. Schroder for the numerical solution of polynomial equations is generalized to the class of equations meromorphic within a simple closed contour C in the complex plane. The method uses numerical contour integration to compute roots and/or poles of an equation. It supplies error bounds and root multiplicities by products of the iteration. (Author)

Descriptors :   (*MEROMORPHIC FUNCTIONS, *ITERATIONS), ANALYTIC FUNCTIONS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, POLYNOMIALS, THESES

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE