More on Semipositive Tensor and Tensor Complementarity Problem

Document Type

Conference Article

Publication Title

Lecture Notes in Networks and Systems

Abstract

In recent years, several classes of structured matrices are extended to classes of tensors in the context of tensor complementarity problem. The tensor complementarity problem is a type of nonlinear complementarity problem where the functions are special polynomials defined by a tensor. Semipositive and strictly semipositive tensors play an important role in the study of the tensor complementarity problem. The article considers a few important characteristics of semipositive tensors. We establish the invariance property of the semipositive tensor. We prove necessary and sufficient conditions for semipositive tensor. A relation between the even order row diagonal semipositive tensor and its majorization matrix is proposed.

First Page

147

Last Page

156

DOI

10.1007/978-981-99-3080-7_11

Publication Date

1-1-2023

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