SOME REMARKS ON THE STABILITY OF ITERATION PROCESSES.

Abstract

The numerical stability and accuracy of the ordinary iterative procedure for solving linear algebraic systems of equations are considered in the paper, the effects of round-off error and the use of digital numbers of finite length being taken into account. The results are applied to the approximate solution of the Dirichlet problem for Poisson's equation by a simple finite-difference scheme. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0642889

Entities

People

  • O. V. Zenkin

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Equations
  • Errors
  • Iterations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)