A sensitivity analysis for linear systems involving M-matrices and its application to the Leontief model

DOI10.1016/0024-3795(85)90268-XzbMath0556.15003MaRDI QIDQ761516

Takao Fujimoto, Antonio Villar, Carmen Herrero

Publication date: 1985

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

zbMATH Keywords

sensitivity analysisLeontief modelM-matricesMetzler theoremMorishima theorem

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Trade models (91B60) Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06)

Related Items (5)

Perturbations of matrices: A theorem on the Perron vector and its applications to input-output models ⋮ A sensitivity analysis in a nonlinear Leontief model ⋮ The Le Chatelier-Samuelson principle revisited ⋮ Factorizations ofm-matrices in input-output analysis¹ ⋮ Perturbations of \(M\)-matrices via ABS methods and their applications to input-output analysis

Cites Work

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• Non-negative matrices and Markov chains. 2nd ed
• Non-negative matrices: The open Leontief model
• On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
• Nonnegative Square Matrices

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