Generalized Information and Maximal Order of Iteration for Operator Equations.
CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE
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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
- Theoretical Mathematics