Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
type: Item
instance of: scholarly article
title: Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
zbMATH Open document ID: 1311.65038
author: Guanglu Zhou
author: Liqun Qi
author: Soon-Yi Wu
published in: Frontiers of Mathematics in China
publication date: 2013-04-08T00:00:00Z
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 6151571
zbMATH Keywords: nonnegative tensor
zbMATH Keywords: power method
zbMATH Keywords: largest eigenvalue
zbMATH Keywords: \(Q\)-linear convergence
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: s11464-012-0268-4
OpenAlex ID: W2052097135
cites work: Perron-Frobenius theorem for nonnegative tensors
cites work: On eigenvalue problems of real symmetric tensors
cites work: Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors
cites work: Singular values of a real rectangular tensor
cites work: Einschliessungssatz für die charakteristischen Zahlen von Matrizen
cites work: On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
cites work: Perron-Frobenius theorem for nonnegative multilinear forms and extensions
cites work: On the best rank-1 approximation of higher-order supersymmetric tensors
cites work: Tensor Decompositions and Applications
cites work: An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
cites work: Finding the Largest Eigenvalue of a Nonnegative Tensor
cites work: An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form
cites work: Q3074014
cites work: Eigenvalues of a real supersymmetric tensor
cites work: Z-eigenvalue methods for a global polynomial optimization problem
cites work: D-eigenvalues of diffusion kurtosis tensors
cites work: Q5342712
cites work: Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
cites work: Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor
cites work: Linear Convergence of the LZI Algorithm for Weakly Positive Tensors
DOI: 10.1007/S11464-012-0268-4
description: scientific article; zbMATH DE number 6151571