Accession Number : AD0713698

Title :   THE KANTOROVICH THEOREM AND ERROR ESTIMATES FOR NEWTON'S METHOD.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Rall,Louis B. ; Tapia,Richard A.

Report Date : FEB 1970

Pagination or Media Count : 19

Abstract : In this note the authors derive a simple recurrence relation for the best possible error estimates the Kantorovich theorem can give for Newton's method. This formulation has, as immediate consequences, all previously derived error estimates and some improved error estimates. (Author)

Descriptors :   (*ITERATIONS, ERRORS), NUMERICAL ANALYSIS, BANACH SPACE, SEQUENCES(MATHEMATICS), CONVERGENCE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE