Minimality and complementarity properties associated with Z-functions and M-functions

Arie Tamir

doi:10.1007/BF01585501

Minimality and complementarity properties associated with Z-functions and M-functions

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Abstract

A nonlinear generalization of square matrices with non-positive off-diagonal elements is presented, and an algorithm to solve the corresponding complementarity problem is suggested. It is shown that the existence of a feasible solution implies the existence of a least solution which is also a complementary solution. A potential application of this nonlinear setup in extending the well-known linear Leontief input-output systems is discussed.

Original language	English
Pages (from-to)	17-31
Number of pages	15
Journal	Mathematical Programming
Volume	7
Issue number	1
DOIs	https://doi.org/10.1007/BF01585501
State	Published - Dec 1974
Externally published	Yes

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abstract = "A nonlinear generalization of square matrices with non-positive off-diagonal elements is presented, and an algorithm to solve the corresponding complementarity problem is suggested. It is shown that the existence of a feasible solution implies the existence of a least solution which is also a complementary solution. A potential application of this nonlinear setup in extending the well-known linear Leontief input-output systems is discussed.",

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Minimality and complementarity properties associated with Z-functions and M-functions

Abstract

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