The Moore-Penrose Inverse

David A. Harville ()
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David A. Harville: IBM T.J. Watson Research Center, Mathematical Sciences Department

Chapter 20 in Matrix Algebra From a Statistician’s Perspective, 1997, pp 497-519 from Springer

Abstract: Abstract By definition, a generalized inverse of an m × n matrix A is any n × m matrix G such that AGA = A. Except for the special case where A is a (square) nonsingular matrix, A has an infinite number of generalized inverses (as discussed in Section 9.2a). While for many purposes one generalized inverse is as good as another, there is a unique one of the generalized inverses, known as the Moore-Penrose inverse, that is sometimes singled out for special attention and that is the primary subject of the present chapter.

Date: 1997
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DOI: 10.1007/0-387-22677-X_20

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