Accession Number:

AD0787099

Title:

Generalized Information and Maximal Order of Iteration for Operator Equations.

Descriptive Note:

Interim rept.,

Corporate Author:

CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1974-04-01

Pagination or Media Count:

33.0

Abstract:

Stationary iterative methods are considered for the solution of operator equations which use generalized information. The author seeks methods with maximal order provided the points of iteration are in good position. The new concepts of order of information and generalized interpolatory methods are introduced. The main result states that the maximal order is equal to the order of information which depends on generalized information and on the position of iteration points. It is shown that the maximal order is achievable by the generalized interpolatory method. Modified author abstract

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE