An Adaptive Shifted Power Method for Computing Generalized Tensor Eigenpairs
From MaRDI portal
Publication:5246495
DOI10.1137/140951758zbMath1318.65019arXiv1401.1183OpenAlexW3105081413MaRDI QIDQ5246495
Jackson R. Mayo, Tamara G. Kolda
Publication date: 21 April 2015
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.1183
numerical testtensor eigenvaluesshifted symmetric higher-order power methodZ-eigenpairs\(l^2\)-eigenpairsE-eigenpairsgeneralized eigenproblem adaptive power methodgeneralized tensor eigenpairs
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)
Related Items
A trust region algorithm for computing extreme eigenvalues of tensors ⋮ Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications ⋮ An adaptive gradient method for computing generalized tensor eigenpairs ⋮ Newton Correction Methods for Computing Real Eigenpairs of Symmetric Tensors ⋮ Riemannian conjugate gradient methods for computing the extreme eigenvalues of symmetric tensors ⋮ Computing extreme eigenvalues of large scale Hankel tensors ⋮ Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems ⋮ \(Z\)-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states ⋮ A self-adaptive trust region method for extreme \(\mathcal {B}\)-eigenvalues of symmetric tensors ⋮ Tensor logarithmic norm and its applications ⋮ An adaptive cubic regularization algorithm for computing H- and Z-eigenvalues of real even-order supersymmetric tensors ⋮ Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple ⋮ Approximate real symmetric tensor rank ⋮ A family of gradient methods using Householder transformation with application to hypergraph partitioning ⋮ A projection method based on discrete normalized dynamical system for computing C-eigenpairs ⋮ Noda iteration for computing generalized tensor eigenpairs ⋮ Feasible Newton methods for symmetric tensor Z-eigenvalue problems ⋮ Calculations for D-eigenvalues of a diffusion kurtosis tensor ⋮ Generalized minimal Gershgorin set for tensors ⋮ A MODIFIED FR CONJUGATE GRADIENT METHOD FOR COMPUTING -EIGENPAIRS OF SYMMETRIC TENSORS ⋮ Spectral projected gradient methods for generalized tensor eigenvalue complementarity problems ⋮ Computing the \(p\)-spectral radii of uniform hypergraphs with applications ⋮ Computing the generalized eigenvalues of weakly symmetric tensors ⋮ Computing the largest H-eigenvalue of large-scale tensors generated from directed hypergraphs ⋮ Computing Tensor Eigenvalues via Homotopy Methods ⋮ Computing Tensor $Z$-Eigenvectors with Dynamical Systems ⋮ Perturbation bounds of tensor eigenvalue and singular value problems with even order ⋮ Symmetric tensor decomposition by an iterative eigendecomposition algorithm ⋮ A convergent Newton algorithm for computing Z-eigenvalues of an almost nonnegative irreducible tensor ⋮ Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor ⋮ A subspace modified Broyden-Fletcher-Goldfarb-Shanno method for \(\mathcal{B} \)-eigenvalues of symmetric tensors ⋮ Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement ⋮ Shifted power method for computing tensor H-eigenpairs ⋮ Computing Eigenvalues of Large Scale Sparse Tensors Arising from a Hypergraph ⋮ Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors ⋮ Generalized Tensor Eigenvalue Problems ⋮ The geometric measure of entanglement of multipartite states and the \(Z\)-eigenvalue of tensors ⋮ Numerical optimization for symmetric tensor decomposition ⋮ Three Hypergraph Eigenvector Centralities