AN APPLICATION OF REPRESENTATIONS FOR THE GENERALIZED INVERSE OF A MATRIX.

Abstract

Generalized inverse representations are developed for solutions of the matrix equations A X A = A and X AX = X. It is shown that both the Scroggs-Odell pseudoinverse of a matrix and the Drazin pseudoinverse of a matrix with index one follow as special cases. Representations for the Drazin pseudoinverse of a matrix with index greater than one are also developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0630531

Entities

People

  • Randall E. Cline

Tags

DTIC Thesaurus Topics

  • Equations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra