Mathematical induction applied of Leontief systems

Danyang Xie

doi:10.1016/0165-1765(92)90176-Y

Mathematical induction applied of Leontief systems

Danyang Xie^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

1 Citation (Scopus)

Abstract

This note establishes a necessary and sufficient condition for a matrix to be positive. The recursive nature of the condition allows one to use mathematical induction to greatly simplify the proof of the existence and the solvability conditions of the Leontief system.

Original language	English
Pages (from-to)	405-408
Number of pages	4
Journal	Economics Letters
Volume	39
Issue number	4
DOIs	https://doi.org/10.1016/0165-1765(92)90176-Y
Publication status	Published - Aug 1992
Externally published	Yes

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title = "Mathematical induction applied of Leontief systems",

abstract = "This note establishes a necessary and sufficient condition for a matrix to be positive. The recursive nature of the condition allows one to use mathematical induction to greatly simplify the proof of the existence and the solvability conditions of the Leontief system.",

author = "Danyang Xie",

year = "1992",

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doi = "10.1016/0165-1765(92)90176-Y",

language = "English",

volume = "39",

pages = "405--408",

journal = "Economics Letters",

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AU - Xie, Danyang

PY - 1992/8

Y1 - 1992/8

N2 - This note establishes a necessary and sufficient condition for a matrix to be positive. The recursive nature of the condition allows one to use mathematical induction to greatly simplify the proof of the existence and the solvability conditions of the Leontief system.

AB - This note establishes a necessary and sufficient condition for a matrix to be positive. The recursive nature of the condition allows one to use mathematical induction to greatly simplify the proof of the existence and the solvability conditions of the Leontief system.

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UR - https://openalex.org/W1985977741

U2 - 10.1016/0165-1765(92)90176-Y

DO - 10.1016/0165-1765(92)90176-Y

M3 - Journal Article

SN - 0165-1765

VL - 39

SP - 405

EP - 408

JO - Economics Letters

JF - Economics Letters

IS - 4

ER -

Mathematical induction applied of Leontief systems

Abstract

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