The nonlinear Perron-Frobenius theorem

DOI10.1016/0304-4068(94)90033-7zbMath0789.90020OpenAlexW1586072666MaRDI QIDQ1317314

Erik Dietzenbacher

Publication date: 12 June 1994

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4068(94)90033-7

zbMATH Keywords

sensitivitydominant eigenvaluenonlinear eigensystemnonlinear input- output model

Mathematics Subject Classification ID

Multisectoral models in economics (91B66)

Related Items (1)

The Perron-Frobenius theorem for homogeneous, monotone functions

Cites Work

• Unnamed Item
• On non-negative solvability of nonlinear input-output systems
• The nonlinear input-output model
• Nonlinear Leontief models in abstract spaces
• On nonlinear extensions of the Perron-Frobenius theorem
• Balanced growth without constant returns to scale
• Perron's stability theorem for non-linear mappings
• Perturbations of matrices: A theorem on the Perron vector and its applications to input-output models
• Nonlinear input-output model with piecewise affine coefficients
• Addendum to ``Nonlinear generalization of the Frobenius theorem
• Non-negative matrices and Markov chains. 2nd ed
• The Perron-Frobenius theorem without additivity
• The Frobenius theorem, its Solow-Samuelson extension and the Kuhn-Tucker theorem
• Nonlinear generalization of the Frobenius theorem. A symmetric approach
• Non-negative matrices: The open Leontief model
• A sensitivity analysis in a nonlinear Leontief model
• On the Solution of Scale-Dependent Input-Output Models
• On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
• Input-Output Analysis with Scale-Dependent Coefficients
• A Nonlinear Input-Output Model of a Multisectored Economy
• Balanced Growth under Constant Returns to Scale

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