Nonlinear generalization of the Frobenius theorem. A symmetric approach

DOI10.1016/0304-4068(79)90021-1zbMath0401.90021OpenAlexW1590394528MaRDI QIDQ1255430

K. Appert

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0304-4068(79)90021-1

zbMATH Keywords

Frobenius TheoremNonlinear GeneralizationNonnegative Square MatricesSymmetric Approach

Mathematics Subject Classification ID

Economic growth models (91B62) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Strong ergodicity for strictly increasing nonlinear operators, Perron's stability theorem for non-linear mappings, EQUIVALENT CONDITIONS ON SOLVABILITY FOR NON-LINEAR LEONTIEF MODELS(*), Addendum to ``Nonlinear generalization of the Frobenius theorem, Non-substitution theorems and the systems of nonlinear equations, The Perron-Frobenius theorem without additivity, Perron-Frobenius problem for weakly sublinear maps in a Euclidean positive orthant, Perron-Frobenius theorem for multi-valued mappings, Relations between Perron-Frobenius results for matrix pencils, The nonlinear Perron-Frobenius theorem

Cites Work

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• The Frobenius theorem, its Solow-Samuelson extension and the Kuhn-Tucker theorem
• Perron-Frobenius properties of \(Ax-\lambda Bx\)
• Unzerlegbare, nicht negative Matrizen
• Balanced Growth under Constant Returns to Scale
• Nonnegative Square Matrices