A Posteriori Forward Error Analysis

Abstract

The general principle of a posteriori forward error analysis is discussed. The fundamental idea is simply based on the fact that the difference between the computed result of any of the basic floating-point operations and the exact result can be estimated using the computed result. For algorithms with finite number of arithmetic operations, this idea can be extended easily so that forward error analysis is possible. Some results of certain useful algorithms are derived using this approach.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0739890

Entities

People

  • Nai-kuan Tsao

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Algorithms
  • Applied Mathematics
  • Approximation (Mathematics)
  • Computations
  • Decomposition
  • Equations
  • Error Analysis
  • Errors
  • Floating Point Operations
  • Mathematical Analysis
  • Numbers
  • Polynomials
  • Real Numbers
  • Security
  • Test And Evaluation

Readers

  • Calculus or Mathematical Analysis
  • Computer Programming and Software Development.
  • Statistical inference.