Abstract
An inverse AI for an arbitrary matrix A was first given by Moore (4). Since the application to solution of linear equations only depended on the property A AI A = A, Bjerhammar (2) used this equation to define the set of generalized inverses AI. If A is regular, then only the regular inverse A−1 satisfies this definition. If A is a generalized inverse of AI, so that AI = AI AAI, then AI is a reciprocal inverse.
Publisher
Cambridge University Press (CUP)
Reference7 articles.
1. Lectures on matrices;Wedderburn;Amer. Math. Soc. Colloquium Publications,1934
2. Analytic functions of finite dimensional linear transformations
3. (2) Bjerhammar A. A generalized matrix algebra. Kungl. Tekniska Hogskolans Handlingar, no. 124 (1958).
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22 articles.
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