An Overview on D-stable Matrices

Giorgio Giorgi () and Cesare Zuccotti ()
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Giorgio Giorgi: Department of Economics and Management, University of Pavia
Cesare Zuccotti: Department of Economics and Management, University of Pavia

No 97, DEM Working Papers Series from University of Pavia, Department of Economics and Management

Abstract: We give an overview on the main properties of D-stable matrices, i.e. of those square matrices $A$ for which the product DA is stable for any choice of the diagonal matrix D, with all positive diagonal elements. These matrices, introduced in economic analysis by Arrow and Mc Manus (1958), have found, besides applications in mathematical economics, applications also in other fields, such as mathematical ecology, population dynamics, the theory of electric circuits, analysis of neural networks, control theory and other questions.

Keywords: D-stability of matrices; stability of matrices. (search for similar items in EconPapers)
Pages: 29 pages
Date: 2015-02
New Economics Papers: this item is included in nep-mfd
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Citations: View citations in EconPapers (2)

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