NDLI: Properties of Solution Set of Tensor Complementarity Problem

Content Provider	Springer Nature Link
Author	Song, Yisheng Yu, Gaohang
Copyright Year	2016
Abstract	In this paper, a new subclass of tensors is introduced and it is proved that this class of new tensors can be defined by the feasible region of the corresponding tensor complementarity problem. Furthermore, the boundedness of solution set of the tensor complementarity problem is equivalent to the uniqueness of solution for such a problem with zero vector. For the tensor complementarity problem with a strictly semi-positive tensor, we proved the global upper bounds of its solution set. In particular, such upper bounds are closely associated with the smallest Pareto eigenvalue of such a tensor.
Ending Page	96
Page Count	12
Starting Page	85
File Format	PDF
ISSN	00223239
e-ISSN	15732878
Journal	Journal of Optimization Theory and Applications
Issue Number	1
Volume Number	170
Language	English
Publisher	Springer US
Publisher Date	2016-03-03
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Tensor complementarity Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc. Theory of Computation Strictly copositive Optimization Engineering Feasible vector Nonlocal and multipoint boundary value problems Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces Nonlinear spectral theory, nonlinear eigenvalue problems Calculus of Variations and Optimal Control; Optimization Applications of Mathematics Operation Research/Decision Theory Strictly semi-positive tensor Ill-posed problems, regularization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization Management Science and Operations Research

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