Perturbation analysis for t-product based tensor inverse, Moore-Penrose inverse and tensor system

Zhengbang Cao, Pengpeng Xie

This paper establishes some perturbation analysis for tensor inverse and Moore-Penrose inverse based on the t-product. By the properties of Frobenius norm and spectral norm, perturbation theory of tensor inverse and tensor equations is considered. Classical perturbation results for the Moore-Penrose inverse and least squares are also extended.

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