Difference between revisions of "Leontief Matrix"
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== Definition == | == Definition == | ||
| − | '''Leontief Matrix'''. The Leontief “A” matrix is a direct requirements table calculated from an industry-by-industry transactions table. The “I - A” matrix (where I is an identity matrix with ones in the diagonal cells and zeroes in other cells) can be inverted to calculate the inverse ((I - A)-1 ) or total requirements table. The elements of the inverse enable one to estimate both the direct and indirect impacts of a change in final uses.<ref>Concepts and Methods of the US Input-Output Accounts. K.J.Horowitz, M.A.Planting, 2009</ref> | + | '''Leontief Matrix'''. The Leontief “A” matrix is a direct requirements table calculated from an industry-by-industry transactions table. |
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| + | The “I - A” matrix (where I is an identity matrix with ones in the diagonal cells and zeroes in other cells) can be inverted to calculate the inverse ((I - A)-1 ) or total requirements table. | ||
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| + | The elements of the inverse enable one to estimate both the direct and indirect impacts of a change in final uses.<ref>Concepts and Methods of the US Input-Output Accounts. K.J.Horowitz, M.A.Planting, 2009</ref> | ||
== References == | == References == | ||
<references/> | <references/> | ||
| − | [[Category: | + | [[Category:EEIO]] |
Revision as of 23:45, 13 November 2023
Definition
Leontief Matrix. The Leontief “A” matrix is a direct requirements table calculated from an industry-by-industry transactions table.
The “I - A” matrix (where I is an identity matrix with ones in the diagonal cells and zeroes in other cells) can be inverted to calculate the inverse ((I - A)-1 ) or total requirements table.
The elements of the inverse enable one to estimate both the direct and indirect impacts of a change in final uses.[1]
References
- ↑ Concepts and Methods of the US Input-Output Accounts. K.J.Horowitz, M.A.Planting, 2009
