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All Journal Diophantine Journal of Mathematics and Its Applications
Kristiarini, Susiawati
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Industrial & Manufacturing Engineering

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Komparasi Penggunaan Matriks Kebalikan Leontief & Ghosian Untuk Peramalan Dalam Model Input Output Kurniawan, Budi; Kristiarini, Susiawati
Diophantine Journal of Mathematics and Its Applications Vol. 1 No. 1 (2022)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v1i1.25703

Abstract

This study is an empirical study that compares the use of two types of inverse matrices in the input output model. The Input Output (IO) model is based on a system of mathematical equations that applies general equilibrium phenomena. The matrix operating system in the equation derived from the IO model allows the Output value (X) to be calculated as an effect of the final demand induction (F) with the formulation X=(I-A)-1F where A is the technical coefficient matrix. This equation model uses the Leontief Inverse Matrix to calculate the impact of output with final demand (F) as a stimulant. Calculation of the impact of the stimulus from the supply side such as added value and the value of intermediate inputs originating from imports (V) uses the Ghosian Inverse Matrix in the equation X=(I-AT)-1V where AT is the usage coefficient matrix. The data used in this study comes from the Bengkulu Province Input Output Tables in 2000 and 2016, each of which has been collected in a common set to see comparability between years of observation. Forecasting results with both types of approaches produce different levels of accuracy for each observation period.
Co-Authors Budi Kurniawan