Necessary and sufficient conditions for a subclass of P-tensor

2022/09/29 by R. Deb, A. K. Das, Deb, R. +1
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2209.14840

openalex publication_date 2022/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we introduce the class B-Nekrasov tensor in the context of tensor complementarity problem. We study some tensor theoretic properties. We show that the class of B-Nekrasov tensor contains the class of Nekrasov Z-tensor with positive diagonal entries. We present a necessary and sufficient condition for a B-Nekrasov tensor. We show that the class of P-tensor contains the class of B-Nekrasov tensor. Keywords: Tensor complementarity problem, P-tensors, Nekrasov tensors, Nekrasov Z-tensor, B-Nekrasov tensors, Nonsingular H-tensor, Diagonally dominant tensor.

Related

• Complementarity Problem With Nekrasov Z tensor
• More on semipositive tensor and tensor complementarity problem
• P-Tensors, P₀-Tensors, and Tensor Complementarity Problem
• Properties of Tensor Complementarity Problem and Some Classes of Structured Tensors
• Z-tensors and complementarity problems