SOLUSI POSITIF DARI PERSAMAAN LEONTIEF DISKRIT

Authors

  • Rasita Anas

DOI:

https://doi.org/10.25077/jmu.2.3.103-108.2013

Abstract

Pada tulisan ini akan diuraikan tentang bagaimanakah solusi dari persamaan
Leontief diskrit dengan menggunakan invers Drazin dan sistem singular diskrit. Untuk C
singular sistem Cx n +1 = (I − L+C)x n −d n, tidak mempunyai solusi. Hal ini disebabkan
adanya kondisi awal yang tidak dapat memberikan solusi untuk sistem. Kondisi awal yang
dapat memberikan solusi untuk sistem disebut sebagai kondisi awal yang konsisten [4].
Perlu diperhatikan bahwa solusi x n untuk sistem mungkin positif atau mungkin saja
non positif. Solusi x n dikatakan positif jika x in > 0 untuk setiap i = 1, 2, · · · , n dan
dikatakan non positif jika x in ≤ 0 untuk setiap i = 1, 2, · · · , n. Jika solusi x n untuk
sistem adalah positif maka x n dikatakan solusi positif dari persamaan Leontief. Dengan
Teorema yang diberikan, diperoleh syarat cukup untuk kepositifan dari solusi persamaan
Leontief diskrit.

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Published

10-09-2013

Issue

Vol. 2 No. 3 (2013)

Section

Articles

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