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

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发表日期：

2025年9月18日

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R. Deb,
A. Dutta,
A. K. Das

摘要

We propose a new error bound based on max function with respect to vectors for the solution of tensor complementarity problem TCP \((\tilde{q}, \mathcal {M})\) given that \(\mathcal {M}\) is a P-tensor and \(\tilde{q}\) 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 \((\tilde{q}, \mathcal {M})\) where \(\mathcal {M}\) is an even order positive diagonal tensor.