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.
- Language
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Englisch
- Bibliographic citation
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Series: Working Paper ; No. 2022-14
- Classification
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Wirtschaft
Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
- Subject
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input-output tables
diagonalizability
- Event
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Geistige Schöpfung
- (who)
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Arora, Mohit
Basu, Deepankar
- Event
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Veröffentlichung
- (who)
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University of Massachusetts, Department of Economics
- (where)
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Amherst, MA
- (when)
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2022
- DOI
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doi:10.7275/pkv2-jm10
- Handle
- Last update
-
10.03.2025, 11:42 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Arora, Mohit
- Basu, Deepankar
- University of Massachusetts, Department of Economics
Time of origin
- 2022
Other Objects (12)
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Performance of bidimensional location quotients for constructing input-output tables
On the appropriate use of (input-output) coefficients to generate non-survey regional input-output tables: Implications for the determination of output multipliers
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HYBRID INTERREGIONAL INPUT-OUTPUT CONSTRUCTION METHODS: APPLIED TO THE SEVEN REGION SPANISH INPUT-OUTPUT TABLE
Income differences and input-output structure
Supply-Use and Input-Output Tables
Relations Input-Output
Data input/output
Input-Output OOMs
Construction of Regional Input-Output Tables in Finland 2002
Input-Output Methods in Forecasting
The usefulness of extended input-output tables incorporating firm heterogeneity
Performance of bidimensional location quotients for constructing input-output tables
On the appropriate use of (input-output) coefficients to generate non-survey regional input-output tables: Implications for the determination of output multipliers
What is input output logic? : input/output logic, constraints, permissions
HYBRID INTERREGIONAL INPUT-OUTPUT CONSTRUCTION METHODS: APPLIED TO THE SEVEN REGION SPANISH INPUT-OUTPUT TABLE
Income differences and input-output structure
Supply-Use and Input-Output Tables
Relations Input-Output
Data input/output
Input-Output OOMs
Construction of Regional Input-Output Tables in Finland 2002
Input-Output Methods in Forecasting
The usefulness of extended input-output tables incorporating firm heterogeneity
Performance of bidimensional location quotients for constructing input-output tables
On the appropriate use of (input-output) coefficients to generate non-survey regional input-output tables: Implications for the determination of output multipliers
What is input output logic? : input/output logic, constraints, permissions
HYBRID INTERREGIONAL INPUT-OUTPUT CONSTRUCTION METHODS: APPLIED TO THE SEVEN REGION SPANISH INPUT-OUTPUT TABLE