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Nonnegative Matrices Whose Inverses Are M-Matrices, Thomas L. Markham
Nonnegative Matrices Whose Inverses Are M-Matrices, Thomas L. Markham
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A characterization of a class of totally nonnegative matrices whose inverses are M-matrices is given. It is then shown that if A is nonnegative of order n and A^-1 is an M-matrix, then the almost principal minors of A of all orders are nonnegative.