Volume 13, Issue 1
The Generalized Order Tensor Complementarity Problems

Numer. Math. Theor. Meth. Appl., 13 (2020), pp. 131-149.

Published online: 2019-12

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• Abstract

The main propose of this paper is devoted to studying the solvability of the generalized order tensor complementarity problem. We define two problems: the generalized order tensor complementarity problem and the vertical tensor complementarity problem and  show that the former is equivalent to the latter. Using the degree theory, we present a comprehensive analysis of existence, uniqueness and stability of the solution set of a given generalized order tensor complementarity problem.

• Keywords

Generalized order tensor complementarity problems, tensor complementarity problems, structured tensors, degree theory.

• AMS Subject Headings

15A18, 15A69, 65F15, 65F10

cheml@swufe.edu.cn (Maolin Che)

liqun.qi@polyu.edu.hk (Liqun Qi)

ymwei@fudan.edu.cn, yimin.wei@gmail.com (Yimin Wei)

• BibTex
• RIS
• TXT
@Article{NMTMA-13-131, author = {Che , Maolin and Qi , Liqun and Wei , Yimin }, title = {The Generalized Order Tensor Complementarity Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2019}, volume = {13}, number = {1}, pages = {131--149}, abstract = {

The main propose of this paper is devoted to studying the solvability of the generalized order tensor complementarity problem. We define two problems: the generalized order tensor complementarity problem and the vertical tensor complementarity problem and  show that the former is equivalent to the latter. Using the degree theory, we present a comprehensive analysis of existence, uniqueness and stability of the solution set of a given generalized order tensor complementarity problem.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2018-0117}, url = {http://global-sci.org/intro/article_detail/nmtma/13434.html} }
TY - JOUR T1 - The Generalized Order Tensor Complementarity Problems AU - Che , Maolin AU - Qi , Liqun AU - Wei , Yimin JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 131 EP - 149 PY - 2019 DA - 2019/12 SN - 13 DO - http://doi.org/10.4208/nmtma.OA-2018-0117 UR - https://global-sci.org/intro/article_detail/nmtma/13434.html KW - Generalized order tensor complementarity problems, tensor complementarity problems, structured tensors, degree theory. AB -

The main propose of this paper is devoted to studying the solvability of the generalized order tensor complementarity problem. We define two problems: the generalized order tensor complementarity problem and the vertical tensor complementarity problem and  show that the former is equivalent to the latter. Using the degree theory, we present a comprehensive analysis of existence, uniqueness and stability of the solution set of a given generalized order tensor complementarity problem.

Maolin Che, Liqun Qi & Yimin Wei. (2019). The Generalized Order Tensor Complementarity Problems. Numerical Mathematics: Theory, Methods and Applications. 13 (1). 131-149. doi:10.4208/nmtma.OA-2018-0117
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