The Moore--Penrose Generalized Inverse for Sums of Matrices

200097 citationsJournal Article

Authors

James Allen Fill · Johns Hopkins University

Donniell E. Fishkind · University of Maine System

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.

Topics & Keywords

graph theory and CDMA systems Matrix Theory and Algorithms Point processes and geometric inequalities

Publication Details

Published in: SIAM Journal on Matrix Analysis and Applications

Volume 21, Issue 2, pp. 629-635

DOI: 10.1137/s0895479897329692

Field-Weighted Citation Impact: 0.92

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The Moore--Penrose Generalized Inverse for Sums of Matrices

Authors

Abstract

Topics & Keywords

Publication Details