A sensitivity analysis for linear systems involving M-matrices and its application to the Leontif model |
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| Authors: | Takao Fujimoto Carmen Herrero Antonio Villar |
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| Institution: | Department of Economics University of Kagawa Takamatsu, Kagawa 760, Japan;Department of Economics University of Alicante Alicante, Spain |
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| Abstract: | A sensitivity analysis is made for solutions to linear equation systems involving M-matrices. We present a theorem which tells about relative changes of elements of the solution vector when the coefficients of a given M-matrix shift. The Metzler theorem and the Morishima theorem are generalized, and applied to the Leontief model. |
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