Computing tensor Z-eigenvalues via shifted inverse power method

DOI10.1016/j.cam.2021.113717zbMath1472.65046OpenAlexW3178375239MaRDI QIDQ2043206

Qin Ni, Zhou Sheng

Publication date: 29 July 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113717

zbMATH Keywords

positive definitenesssymmetric tensorhomogeneous polynomialinverse power methodtensor eigenpairs

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (5)

An adaptive cubic regularization algorithm for computing H- and Z-eigenvalues of real even-order supersymmetric tensors ⋮ Shifted inverse power method for computing the smallest M-eigenvalue of a fourth-order partially symmetric tensor ⋮ An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors ⋮ Direct methods to compute all \(Z\)-eigenpairs of a tensor with dimension 2 or 3 ⋮ Z-eigenvalue intervals of even-order tensors with application to judge the strong ellipticity of an elasticity tensor

Uses Software

• TenEig

Cites Work

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