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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.

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Authors and Affiliations

  1. Northwestern University, Evanston, Illinois, USA

    Arie Tamir

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  1. Arie Tamir
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Tamir, A. Minimality and complementarity properties associated with Z-functions and M-functions. Mathematical Programming 7, 17–31 (1974). https://doi.org/10.1007/BF01585501

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  • DOI: https://doi.org/10.1007/BF01585501

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