DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click
HERE to register or log in.
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
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
Distribution Statement:
APPROVED FOR PUBLIC RELEASE