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Global Uniqueness and Solvability for Tensor Complementarity Problems.
- Source :
-
Journal of Optimization Theory & Applications . Jul2016, Vol. 170 Issue 1, p72-84. 13p. - Publication Year :
- 2016
-
Abstract
- Recently, the tensor complementarity problem has been investigated in the literature. An important question involving the property of global uniqueness and solvability for a class of tensor complementarity problems was proposed by Song and Qi (J Optim Theory Appl, 165:854-873, ). In the present paper, we give an answer to this question by constructing two counterexamples. We also show that the solution set of this class of tensor complementarity problems is nonempty and compact. In particular, we introduce a class of related structured tensors and show that the corresponding tensor complementarity problem has the property of global uniqueness and solvability. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 170
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 116236293
- Full Text :
- https://doi.org/10.1007/s10957-016-0903-4