PROJECTION PROPERTIES AND NEUMANN-EULER EXPANSIONS FOR THE MOORE-PENROSE INVERSE OF AN ARBITRARY MATRIX

Abstract

A mathematical study is made of the theory and application of generalized inversions of an arbitrary rectangular matrix through the use of Neumann-Euler expansions for the Moore-Penrose inverse of an arbitrary matrix. Projection properties based upon the classical theorems such as the Fredholm alternative, and matrix series identities of Moebius type, are developed.

Document Details

Document Type
Technical Report
Publication Date
Aug 07, 1961
Accession Number
AD0264032

Entities

People

  • A. Ben-israel
  • A. Charnes

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Identities
  • Inversion

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.
  • Linear Algebra