ESTIMATES OF THE ROUNDOFF ERROR IN THE SOLUTION OF A SYSTEM OF CONDITIONAL EQUATIONS

Abstract

The paper compares the roundoff error in the least-squares solution of a system of conditional equations Ax=f by two different methods, using backward error analysis. The first one entails solving the normal equations (A sup T)Ax = (A sup T)f and the second is one proposed by Faddeev, Faddeeva, and Kublanovskaya in 1966. This latter method involves multiplying the system by othogonal matrices to transform the matrix A into upper triangular form.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0708692

Entities

People

  • V. I. Gordonova

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Computer Science
  • Elimination
  • Equations
  • Error Analysis
  • Errors
  • Mathematics
  • Military Research
  • Nuclear Energy
  • Numbers
  • Perturbations
  • Precision
  • Rotation
  • Square Roots
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Linear Algebra