Accession Number : AD0630747

Title :   CONVERGENCE OF THE NEWTON PROCESS TO MULTIPLE SOLUTIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s) : Rall,L. B.

Report Date : FEB 1966

Pagination or Media Count : 38

Abstract : The slow convergence of Newton's method to multiple solutions of scalar and finite systems of equations is characterized, and a corrected Newton procedure having quadratic convergence is developed. The results are extended to a class of nonlinear operator equations. (Author)

Descriptors :   (*ITERATIONS, SEQUENCES(MATHEMATICS)), OPERATORS(MATHEMATICS), FUNCTIONAL ANALYSIS, APPROXIMATION(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE