Generalized Information and Maximal Order of Iteration for Operator Equations.

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0787099

Entities

People

  • H. Wozniakowski

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Equations
  • Iterations
  • Mathematics
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Government and Public Administration Law.
  • Mathematical Modeling and Probability Theory.