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The commuting inverses of a square matrix

Published online by Cambridge University Press:  24 October 2008

M. J. Englefield
M. J. Englefield
Affiliation:
University College of North Wales, Bangor, Caerns
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 667 - 671
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

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