Formulas for Updating the Generalized Inverse of a Matrix Perturbed by a Dyad.

Abstract

In many applications it is useful to compute the generalized (Penrose-Moore) inverse of a matrix A + acaT where A is a symmetric matrix whose generalized inverse A+ is known, and acaT is a dyad. Several formulas are given and verified since there are four cases which must be considered.

Document Details

Document Type
Technical Report
Publication Date
Mar 26, 1976
Accession Number
ADA024647

Entities

People

  • Garth Philip McCormick

Organizations

  • George Washington University

Tags

Fields of Study

  • Mathematics

Readers

  • Linear Algebra