Nonnegative matrices having same nonnegative moore-penrose and group inverses
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 7 (1) , 59-72
- https://doi.org/10.1080/03081087908817260
Abstract
Nonnegative matrices A whose Moore-Penrose generalized inverse A+ is nonnegative and has any one of the three equivalent properties (i) AA+ = A+ A (ii) A+ = A, the group inverse, (iii) A+ = p(A), some polynomial in A with scalar coefficients, are characterized. This characterization generalizes known results on nonnegative matrices Awhose Moore-Penrose generalized inverse is equal to some power of A.Keywords
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