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The Existence and Uniqueness of Solution for Tensor Complementarity Problem and Related Systems.
- Source :
-
Journal of Optimization Theory & Applications . Jan2022, Vol. 192 Issue 1, p321-334. 14p. - Publication Year :
- 2022
-
Abstract
- In the paper, we are concerned with the existence and uniqueness of solution for tensor complementarity problem (TCP) and tensor absolute value equations (TAVEs) with special structure. First, we give a sufficient condition of P tensors by using the nonsingularity of the relevant tensors and the properties of eigenvalues. In addition, we give the conditions for the existence and uniqueness of solution for the TCP and prove that the TAVEs with a special structure are equivalent to the TCP. Based on these, using the equivalence relationship with the TCP, some sufficient conditions for the existence and uniqueness of solution for the TAVEs with special structure are given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPLEMENTARITY constraints (Mathematics)
*ABSOLUTE value
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 192
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 154814448
- Full Text :
- https://doi.org/10.1007/s10957-021-01972-2