Accession Number : AD0755057

Title :   Component-Wise Error Analysis of Iterative Methods Practiced on a Floating-Point System.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Urabe,Minoru

Report Date : 11 AUG 1972

Pagination or Media Count : 61

Abstract : In the present paper the author gives a component-wise error estimate for an approximate solution obtained by practicing an iterative method on a floating-point system. Further, in case of Newton's method, the author gives a more precise error estimate and also a simple convenient rule for stopping the iterative process. (Author)

Descriptors :   (*ITERATIONS, ERRORS), (*MATRICES(MATHEMATICS), ITERATIONS), INEQUALITIES, VECTOR SPACES, THEOREMS, ACCURACY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE