A Program for the Numerical Approximation of a Fixed Point of an Arbitrary Continuous Mapping of the N-Cube or N-Simplex into Itself,

Abstract

In the report a systematic search program is given for an approximate fixed point of a continuous mapping of either the unit n-cube or a 'preferred' n-simplex (on the unit n-cube) into itself. A detailed discussion of the fixed point algorithm and the coding of this algorithm is included in this report. A result concerning the estimate of the error is given and also three examples which illustrate the application of this routine. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0738659

Entities

People

  • Charles L. Keller
  • Eugene L. Allgower
  • Thomas E. Reeves

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Algorithms

Fields of Study

  • Mathematics

Readers

  • Neural Network Machine Learning.
  • Polymer Science and Engineering.
  • Regression Analysis.