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A Singular Inverse of a Matrix by Rank Annihilation

Published online by Cambridge University Press:  20 November 2018

M. Ahsanullah  and
M. Rahman
M. Ahsanullah
Affiliation:
Statistics and Information Science Division Food and Drug DirectorateOttawa
M. Rahman
Affiliation:
Carleton UniversityOttawa Ontario
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Edelblute [1] has given a method of finding an inverse of a nonsingular matrix by rank annihilation. The purpose of this paper is to show that the method can be extended in the case of a singular matrix. This method will produce a singular inverse satisfying condition (3) of Penrose [3].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 1 - 4
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Edelblute, D. J., Matrix inversion by rank annihilation, Mathematics of Computation (93). 20 (1966), 149–151.Google Scholar
2. Householder, A. S., Principles of numerical analysis McGraw-Hill, New York, 1953.Google Scholar
3. Penrose, R., A generalised inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406–413.Google Scholar