Arbeitspapier
Input-output tables and some theory of defective matrices
Recent developments in the theory of production networks offer interesting applications and revival of input-output analysis. Some recent papers have studied the propagation of a temporary, negative shock through an input-output network. Such analyses of shock propa- gation relies on eigendecomposition of relevant input-output matrices. It is well known that only diagonalizable matrices can be eigende- composed; those that are not diagonalizable, are known as defective matrices. In this paper, we provide necessary and sufficient conditions for diagonalizability of any square matrix using its rank and eigenval- ues. To apply our results, we offer examples of input-output tables from India in the 1950s that were not diagonalizable and were hence, defective.
- Sprache
-
Englisch
- Erschienen in
-
Series: Working Paper ; No. 2022-14
- Klassifikation
-
Wirtschaft
Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
- Thema
-
input-output tables
diagonalizability
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Arora, Mohit
Basu, Deepankar
- Ereignis
-
Veröffentlichung
- (wer)
-
University of Massachusetts, Department of Economics
- (wo)
-
Amherst, MA
- (wann)
-
2022
- DOI
-
doi:10.7275/pkv2-jm10
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Arora, Mohit
- Basu, Deepankar
- University of Massachusetts, Department of Economics
Entstanden
- 2022
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