VARYING LENGTH FLOATING POINT ARITHMETIC: A NECESSARY TOOL FOR THE NUMERICAL ANALYST.

Abstract

The traditional floating point arithmetic of scientific computers is biased towards fast and easy production of numerical results without enough provision to enable the programmer to control and solve problems connected with numerical accuracy and cumulative round-off errors. The report suggests the varying length floating point arithmetic as a general purpose solution for most of these problems. Some general philosophies are outlined for applications of this feature in numerical analysis. The idea is analyzed further discussing hardware and software implementations.

Document Details

Document Type
Technical Report
Publication Date
Apr 17, 1967
Accession Number
AD0650620

Entities

People

  • Martti Tienari

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Arithmetic
  • Computers
  • Errors
  • Floating Point Operations
  • Mathematics
  • Numerical Analysis
  • Philosophy
  • Production

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Modeling and Simulation
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.