论文信息 - Bounds for the Positive Eigenvectors of Nonnegative Matrices and for their Approximations by Decomposition

Bounds for the Positive Eigenvectors of Nonnegative Matrices and for their Approximations by Decomposition

Cet article traite des vecteurs propres positifs des matrices irreductibles non reparties qui sont simplement caracterisees par une limite superieure donnee λ sur leur rayon spectral et par une matrice L donnee de limites inferieures pour leurs elements. Analyse du cas particulier des matrices stochastiques et on donne un exemple numerique

Pierre Semal | Pierre-Jacques Courtois | P. Courtois | P. Semal

[1] P. Courtois,et al. On polyhedra of Perron-Frobenius eigenvectors , 1985 .

[2] Herbert A. Simon,et al. Aggregation of Variables in Dynamic Systems , 1961 .

[3] J. Stoer,et al. Abschätzungen für die eigenwerte positiver linearer operatoren , 1969 .

[4] Kai Lai Chung,et al. Markov Chains with Stationary Transition Probabilities , 1961 .

[5] A. Berman,et al. SEMIGROUPS OF NONNEGATIVE MATRICES , 1979 .

[6] P. Courtois. Error Analysis in Nearly-Completely Decomposable Stochastic Systems , 1975 .

[7] G. W. Stewart,et al. Computable Error Bounds for Aggregated Markov Chains , 1983, JACM.

[8] Peter J. Denning. Decomposability. Queueing and Computer System Applications (P. J. Courtois) , 1978 .