Matrices similar to a positive or essentially positive matrix

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The Perron-Frobenius Theorem for irreducible higher order tensors does not guarantee simplicity of the unique positive eigenvalue nor does it guarantee the unique positive eigenvalue is strictly larger than the modulus of any other eigenvalue. Irreducibility of a tensor in relation to a graph is studied. A higher order tensor is essentially positive if it takes the positive cone to its interior...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 1971

ISSN: 0024-3795

DOI: 10.1016/0024-3795(71)90015-2