Perturbations of \(M\)-matrices via ABS methods and their applications to input-output analysis

DOI10.1016/S0096-3003(97)10085-6zbMath0943.65047MaRDI QIDQ1294390

Jozsef Abaffy, Anna Torriero, Marida Bertocchi

Publication date: 10 May 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

iterative methodGaussian eliminationABS methodsZ-matrixM-matricesimplicit Gauss-Cholesky algorithmopen Leontief static iput-output model

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38) Iterative numerical methods for linear systems (65F10)

Related Items (2)

Solving fully fuzzy linear systems using implicit Gauss-Cholesky algorithm ⋮ Solving fully fuzzy linear systems by using implicit Gauss-Cholesky algorithm

Cites Work

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• A sensitivity analysis for linear systems involving M-matrices and its application to the Leontief model
• A class of direct methods for linear systems
• A polynomial-time test for M-matrices
• On solving sparse band systems with three algorithms of the ABS family
• Perturbations of matrices: A theorem on the Perron vector and its applications to input-output models
• Non-negative matrices: The open Leontief model
• Basic Matrices

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