ghosh_inverse_create: Create the inverse of a Ghosh-matrix

In rOpenGov/iotables: Reproducible Input-Output Economics Analysis, Economic and Environmental Impact Assessment with Empirical Data

Create the inverse of a Ghosh-matrix

Description

Create the Ghosh-inverse from the output coefficients.

Usage

ghosh_inverse_create(output_coefficients_matrix, digits = NULL)

Arguments

output_coefficients_matrix	A technology coefficient matrix created by the output_coefficient_matrix_create.
digits	An integer showing the precision of the technology matrix in digits. Default is NULL when no rounding is applied.

Details

The Ghosh-inverse is

G = (I-B)^-1

where B is the output coefficient matrix created by output_coefficient_matrix_create. See the United Nations Handbook on Supply and Use Tables and Input-Output Tables with Extensions and Applications pp 622–639.

For the similar inverse created from input coefficients, see the leontief_inverse_create function.

See Also

Other analytic object functions: input_flow_get(), leontief_inverse_create(), leontief_matrix_create()

Examples

om <- output_coefficient_matrix_create( 
  data_table = iotable_get()
  )
  
ghosh_inverse_create( output_coefficients_matrix = om )

rOpenGov/iotables documentation built on Jan. 26, 2024, 3:06 a.m.