Inverses of nonnegative matrices
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 2 (2) , 161-172
- https://doi.org/10.1080/03081087408817055
Abstract
Let λ be any subset of {1,2, 3, 4} containing 1 and consider the matrix equations (1) and AXA=A, (2) XAX=X, (3) AX=(AX) T (4) XA=(XA) T where A is an m×n real matrix. By a λ-inverse of A is meant a solution of the equations (i)iελ. A result on binary relations is given and is used to obtain a characterization of all nonnegative matrices A having a nonnegative λ-inverse, for all possible λ.Keywords
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