The Moore--Penrose Generalized Inverse for Sums of Matrices

  • Authors:

  • James Allen Fill;Donniell E. Fishkind

  • Affiliations:

  • -;-

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 1999

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Abstract

In this paper we exhibit, under suitable conditions, a neat relationship between the Moore--Penrose generalized inverse of a sum of two matrices and the Moore--Penrose generalized inverses of the individual terms. We include an application to the parallel sum of matrices.