On the inverse M-matrix problem for (0,1)-matrices

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15 صفحه اول

On the nonnegative inverse eigenvalue problem of traditional matrices

In this paper, at first for a given set of real or complex numbers $sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.

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A well–known property of an irreducible singular M–matrix is that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. The authors have characterized when the Moore–Penrose inverse of a symmetric, singular, irreducible and tridiagonal M–matrix is itself an M–matrix. We aim here at giving new explicit examples of infinite families of matric...

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on the nonnegative inverse eigenvalue problem of traditional matrices

in this paper, at rst for a given set of real or complex numbers  with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which  is its spectrum. in continue we present some conditions for existence such nonnegative tridiagonal matrices.

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 1980

ISSN: 0024-3795

DOI: 10.1016/0024-3795(80)90179-2