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Perturbation bounds for the largest C-eigenvalue of piezoelectric-type tensors

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arxiv 2307.10775 v1 pith:KGKGZQPP submitted 2023-07-20 math.NA cs.NA

Xifu Liu , Dongdong Liu , Yaping Shi This is my paper · ORCID
classification math.NAcs.NA
keywords perturbationanalysisboundsc-eigenvaluelargestpiezoelectric-typetensoraccuracy
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In this paper, we focus on the perturbation analysis of the largest C-eigenvalue of the piezoelectric-type tensor which has concrete physical meaning which determines the highest piezoelectric coupling constant. Three perturbation bounds are presented, theoretical analysis and numerical examples show that the third perturbation bound has high accuracy when the norm of the perturbation tensor is small.

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