Recursive Methods for Matrix Inversion in Pattern Recognition Environments

  • Authors:
  • D. Naccarato;Y. T. Chien

  • Affiliations:
  • University of New Haven;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1978

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Abstract

Simple recursive methods for inverting an n x n matrix A + E in terms of A-1and E are presented, where E represents a matrix of modifications of the matrix A. Algorithms for rank one and rank r matrix modifications are given. In addition, simple methods for determining if A + E is invertible are developed. Applications of these methods to pattern recognition problems where the inversion