REPRESENTATIONS FOR THE GENERALIZED INVERSE OF SUMS OF MATRICES,

Abstract

Representations for the generalized inverse of the matrix sum AB + CD are developed, where A and C are arbitrary matrices with complex elements. B and D are the transposed conjugates of A and C respectively. These representations are obtained using forms for the generalized inverse of partitioned matrices M = A, B. Corresponding representations are obtained for the matrix sum A + B in which A and B satisfy the condition AD = theta. Computational forms for constructing the generalized inverse of any matrix X by application of results obtained for AB + CD are discussed.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0610453

Entities

People

  • Randall E. Cline

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.