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Permanental compound matrices and Schneider's theorem for estimating matrix eigenvalue products and root products of a polynomial. Bibliography: 8 titles. © Springer
A formula for the Perron vector of astochastic matrixThe paper suggests a new linear-algebraic proof of a formula for the Perron vector (stationary
Nonnegative Chainable MatricesA description of nonnegative chainable matrices, based on fully indecomposable matrices, is given
Harary's Theorem on Signed Graphs and Reversibility of Markov ChainsA counterpart of the well-known Harary theorem on signed graphs is proved for digraphs over groups
The Perron-Frobenius theorem - A proof with the use of Markov chainsThe Perron-Frobenius theorem - A proof with the use of Markov chains
Combinatorial properties of irreducible semigroups of nonnegative matricesThe paper suggests a combinatorial proof of the Protasov-Voynov theorem on an irreducible semigroup
Locally Strongly Primitive Semigroups of Nonnegative Matrices of nonnegative matrices is introduced. It is shown that, by a certain permutation similarity, all the matrices
Combinatorial and Spectral Properties of Semigroups of Stochastic Matrices index of a semigroup of nonnegative matrices, introduced by Protasov and Voynov. A new characterization
The Perron-Frobenius theorem - A proof with the use of Markov chainsThe Perron-Frobenius theorem - A proof with the use of Markov chains
Permanental compound matrices and Schneider's theorem for estimating matrix eigenvalue products and root products of a polynomial. Bibliography: 8 titles. © Springer
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