INTERVAL ARITHMETIC DETERMINANT EVALUATION AND ITS USE IN TESTING FOR A CHEBYSHEV SYSTEM.

Abstract

Two recent papers by Hansen and by Hansen and R. R. Smith have shown how interval arithmetic (I.A.) can be used effectively to bound errors in matrix computations. This paper compares a method proposed by Hansen and R. R. Smith to straightforward use of I.A. in determinant evaluation. Computational results show what accuracy and running times can be expected when using I.A. for determinant evaluation. An application using I.A. determinants in a program to test a set of functions to see if they form a Chebyshev system is then presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 26, 1968
Accession Number
AD0668558

Entities

People

  • Lyle B. Smith

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Arithmetic
  • Computations
  • Errors
  • Intervals
  • Test And Evaluation

Fields of Study

  • Mathematics

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