A Computational Algorithm for the Eigenvectors of a Singular Matrix

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.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA055710

Entities

People

  • Palmer R. Schlegel

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Army Aviation
  • Business Administration
  • Construction
  • Continents
  • Delta Functions
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Geographic Regions
  • Hilbert Space
  • Identities
  • Marine Corps
  • New York
  • North America
  • Security
  • United States

Fields of Study

  • Mathematics

Readers

  • Linear Algebra