On the Relationship Between Conditions that Insure a PL Mapping is a Homeomorphism
- 1 February 1980
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 5 (1) , 101-109
- https://doi.org/10.1287/moor.5.1.101
Abstract
In this note we consider two conditions which insure that a piecewise linear mapping is a homeomorphism. One of these is that the leading principal minors of certain matrices be positive, while the other is that all real eigenvalues be positive. We show that the latter condition is weaker than the former.Keywords
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