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):

• Wozniakowski,Henryk

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

Descriptors:

• *ITERATIONS
• APPROXIMATION(MATHEMATICS)
• INTERPOLATION
• BANACH SPACE
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE