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A note on high degree linear complementarity problems
Journal article   Open access

A note on high degree linear complementarity problems

David E Stewart
Bulletin of the Australian Mathematical Society, Vol.45(1), pp.151-155
02/1992
DOI: 10.1017/S0004972700037096
url
https://doi.org/10.1017/S0004972700037096View
Published (Version of record) Open Access

Abstract

Topological degree theory can be applied to maps defined from Linear Complementarity Problems, as has been done by Howe and Stone, Ha, and Stewart. It is shown here that the definitions of Howe and Stone, and Stewart, are equivalent. Also a new family of matrices is defined whose degrees' magnitudes increase exponentially as 2n/√2πn, whereas Howe and Stone give examples whose degrees go as (22/5)n.

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