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On polyhedra of Perron-Frobenius eigenvectors

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Publication:1058570
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DOI10.1016/0024-3795(85)90094-1zbMath0565.15003OpenAlexW2029549138MaRDI QIDQ1058570

Pierre Semal, Pierre Courtois

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90094-1


zbMATH Keywords

spectral radiuspolyhedronnonnegative irreducible matricesPerron-Frobenius eigenvectorpositive eigenvectors


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (3)

Path integral evaluation of ALOHA network transients ⋮ Error bounds on an approximation to the dominant eigenvector of a nonnegative matrix ⋮ Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations



Cites Work

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  • Computable Error Bounds for Aggregated Markov Chains
  • Bounds for the Positive Eigenvectors of Nonnegative Matrices and for their Approximations by Decomposition
  • Error Analysis in Nearly-Completely Decomposable Stochastic Systems
  • Aggregation of Variables in Dynamic Systems




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