Accession Number : AD0600736

Title :   EFFICIENT USE OF NEWTON'S METHOD.

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Lohr,Lydia R. ; Rall,L. B.

Report Date : MAR 1964

Pagination or Media Count : 12

Abstract : Theorems of L. V. Kantorovich are used to compare the overall efficiency of Newton's method and its modified form for the approximate solution of systems of equations. Criteria are given for choosing the method to achieve given accuracy in minimum time. This comparison and decision process may be incorporated directly into computer programs, and the basic analysis involved applies to any iterative process for which the convergence rate is known. (Author)

Descriptors :   *NUMERICAL METHODS AND PROCEDURES, *ITERATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE