Computation of a new error bound based on max function for tensor complementarity problem with P-tensor

Authors

• R. Deb, Jadavpur University
• A. Dutta, Siksha O Anusandhan (Deemed to be University)
• A. K. Das, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Opsearch

Abstract

We propose a new error bound based on max function with respect to vectors for the solution of tensor complementarity problem TCP given that is a P-tensor and is a real vector. The bounds are obtained based on a residue defined by a max function of vectors. We show that the proposed error bound is narrower than the earlier version of error bound available in the literature. We establish absolute and relative error bound for TCP where is an even order positive diagonal tensor.

DOI

10.1007/s12597-025-01021-w

Publication Date

1-1-2025

Recommended Citation

Deb, R.; Dutta, A.; and Das, A. K., "Computation of a new error bound based on max function for tensor complementarity problem with P-tensor" (2025). Journal Articles. 5284.
https://digitalcommons.isical.ac.in/journal-articles/5284