Affiliation:
1. Olivetti-General Electric, Milano, Italy
Abstract
The “reverse order law” related to ordinary inverses of matrix products, i.e., (
AB
)
-1
=
B
-1
A
-1
, is generally not transferable to the generalized inverse. There are, however, applications in which the reverse order law related to the generalized inverse reveals interesting properties in certain classes of matrices.
In this paper, some necessary and sufficient conditions for the reverse order property to hold are given.
Publisher
Association for Computing Machinery (ACM)
Subject
Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software
Reference18 articles.
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2. Contributions to the theory of generalized inverses;BEN-ISRAEL A;J. SIAM,1963
3. The computation of the generalized inverse of singular or rectangular matrices;Am. Math. Month.,1963
4. and quadratic forms;CHIPMAN J. S.;J. Math. Annal. Appl.,1964
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