Uncertain Algebraic Equations

Eduardo Souza de Cursi
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Eduardo Souza de Cursi: INSA Rouen Normandie

Chapter 6 in Uncertainty Quantification and Stochastic Modelling with EXCEL, 2022, pp 323-357 from Springer

Abstract: Abstract Solving equations is a basic activity in most fields of knowledge – for instance, Engineering, Management, Economics, … A simple example is furnished by the basic input-output analysis introduced by W. Leontieff in 1936 (Leontieff, 1936, 1937): the economy of a country may be empirically described by a matrix T = (Tij, 1 ≤ i, j ≤ n) connecting inputs and outputs of the different economic sectors, such as the one presented in Fig. 6.1. Such a matrix synthetizes the empirical data about the connections and interdependencies between the economical fields under consideration. Nowadays, input-output matrices are used for statistical analysis and planning in Economics (Organisation for Economic Co-operation and Development, 2021). For instance, they may be used to furnish estimations of short-term impact of economic changes. The general form of T is shown in Table 6.1.

Date: 2022
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DOI: 10.1007/978-3-030-77757-9_6

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