On Some Properties of S-Tensor

Rani Deb () and Arup Kumar Das ()
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Rani Deb: Jadavpur University
Arup Kumar Das: Indian Statistical Institute

Journal of Optimization Theory and Applications, 2025, vol. 206, issue 2, No 34, 13 pages

Abstract: Abstract S-tensor has its importance in the development of the theories related to several structured tensors during the investigation of tensor complementarity theory. In this article, we explore several necessary and sufficient conditions for a tensor to be an S-tensor. We introduce the concept of column deleted subtensors. With the help of column deleted subtensors we define minimally S-tensor and investigate the relation of S-tensor to its inverse. We propose some results connecting the S-tensor to other classes of tensor.

Keywords: S-tensor; M-tensor; Inverse of tensor; Row diagonal tensor; Column deleted subtensor; 15A69; 90C33; 15A18 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02738-w

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