The M–matrix Moore–Penrose inverse problem for weighted paths
نویسنده
چکیده
Abstract. A well–known property of an irreducible non–singular M–matrix is that its inverse is non–negative. However, when the matrix is an irreducible and singular M–matrix it is known that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. We focus here in characterizing when the Moore–Penrose inverse of a symmetric, singular, irreducible and tridiagonal M–matrix is itself a M–matrix.
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