Accession Number:

ADA055710

Title:

A Computational Algorithm for the Eigenvectors of a Singular Matrix

Descriptive Note:

Technical rept.,

Corporate Author:

ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

1978-05-01

Pagination or Media Count:

18.0

Abstract:

In this paper a computational, non-iterative type algorithm is given to obtain the eigenvectors of a singular matrix. The algorithm yields a smaller nonsingular matrix that has exactly the same nonzero eigenvalues as the given singular matrix and only these eigenvalues. The eigenvectors for the singular matrix are constructed from the eigenvectors of the nonsingular matrix. The eigenvectors associated with the zero eigenvalues of the singular matrix are an immediate consequence of the algorithm.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE