MATRIX INVERSION BY AN N STEP GRADIENT PROCESS.

Abstract

A simple and effective method is given for obtaining the inverse of a matrix by the special application of an N step gradient procedure to the solution of a system of linear algebraic equations. The iteration scheme is given as one elementary routine which is repeated N times for a column of the inverse, and then N(N-1) times to determine the remaining columns. With the proposed method of finding the inverse, the computations for one column are independent of those for any other; and errors made in a column are not propogated to the others. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1952
Accession Number
AD0642755

Entities

People

  • Joseph W. Fichbach

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Computations
  • Equations
  • Inversion
  • Iterations
  • Linear Algebraic Equations
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Operations Research