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Representation and approximation of the outer inverse AT,S(2) of a matrix A

✍ Scribed by Yong-Lin Chen; Xin Chen

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
163 KB
Volume
308
Category
Article
ISSN
0024-3795

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✦ Synopsis

In this paper, we establish a basic representation and a representation theorem for the outer inverse A

(2) T ,S of a matrix A, which is the matrix X satisfying XAX = X, R(X) = T and N(X) = S.

We develop several specific representations and iterative methods for A

(2) T ,S . We show that this representation includes many of the traditional generalized inverses and outer inverses, and the relation of our results to these outer inverses will be explored.

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