Computing the largest C-eigenvalue of a tensor using convex relaxation

DOI10.1007/s10957-021-01983-zzbMath1484.15032OpenAlexW4210527982MaRDI QIDQ2115256

Yuning Yang, Chang Liang

Publication date: 15 March 2022

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-021-01983-z

zbMATH Keywords

tightnessconvex relaxationC-eigenvalueC-eigenvectorpiezoelectric-type tensor

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (4)

Localization and calculation for C-eigenvalues of a piezoelectric-type tensor ⋮ Perturbation bounds for the largest \(C\)-eigenvalue of piezoelectric-type tensors ⋮ A projection method based on discrete normalized dynamical system for computing C-eigenpairs ⋮ Shifted power method for computing the largest C-eigenvalue of a piezoelectric-type tensor

Cites Work

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• Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
• C-eigenvalue inclusion theorems for piezoelectric-type tensors
• Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor
• Eigenvalue bounds of third-order tensors via the minimax eigenvalue of symmetric matrices
• \(C\)-eigenvalues intervals for piezoelectric-type tensors
• A new C-eigenvalue interval for piezoelectric-type tensors
• Tensor principal component analysis via convex optimization
• Infinite and finite dimensional Hilbert tensors
• C-eigenvalue intervals for piezoelectric-type tensors via symmetric matrices
• Semidefinite Relaxations for Best Rank-1 Tensor Approximations
• Finding the extreme Z-eigenvalues of tensors via a sequential semidefinite programming method
• Rank-1 Tensor Properties with Applications to a Class of Tensor Optimization Problems
• A New $C$-Eigenvalue Localisation Set for Piezoelectric-Type Tensors
• Most Tensor Problems Are NP-Hard

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