Accession Number:
AD0777445
Title:
Maximal Stationary Iterative Methods for the Solution of Operator Equations,
Descriptive Note:
Corporate Author:
CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE
Personal Author(s):
Report Date:
1973-12-01
Pagination or Media Count:
34.0
Abstract:
The author studies stationary iterative methods of maximal order for calculating zeros of operator equations. These methods use the values of the operator and its first s Frechet derivatives at n previous iteration points. A sufficient condition is introduced for an iterative method to have maximal order in a certain class of admissible methods. The maximality of the interpolatory method I sub n,s is proved in the scalar case. For the m dimensional case, 2 or m or infinity, the author proves that interpolatory iteration is maximal for n 0 in the class of iterations using values of the first s derivatives at n previous points. Author
Subject Categories:
- Theoretical Mathematics