Tensor norm and maximal singular vectors of nonnegative tensors — A Perron–Frobenius theorem, a Collatz–Wielandt characterization and a generalized power method-Reference-Cited by-同舟云学术

Tensor norm and maximal singular vectors of nonnegative tensors — A Perron–Frobenius theorem, a Collatz–Wielandt characterization and a generalized power method

Published:2016-09 Issue: Volume:505 Page:313-343
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Gautier Antoine,Hein Matthias

Funder

ERC

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference24 articles.

1. Numerical multilinear algebra and its applications;Qi;Front. Math. China,2007

2. Nonnegative polynomial optimization over unit spheres and convex programming relaxations;Zhou;SIAM J. Control Optim.,2012

3. Tensors: a brief introduction;Comon;IEEE Signal Process. Mag.,2014

4. Singular values and eigenvalues of tensors: a variational approach;Lim,2005

5. Tensor Norms and Operator Ideals, vol. 176;Defant,1993

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Locally Optimal Eigenpairs of Orthogonally Decomposable Tensors: A Generalized Proof;Journal of Optimization Theory and Applications;2024-02-17

2. Novel Stability Conditions for Nonlinear Monotone Systems and Consensus in Multiagent Networks;IEEE Transactions on Automatic Control;2023-12

3. Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors;SIAM Review;2023-05

4. Spectral partitioning of large and sparse 3‐tensors using low‐rank tensor approximation;Numerical Linear Algebra with Applications;2022-02-28

5. Eigenvalues of the solution of the Lyapunov tensor equation;Journal of Mathematical Inequalities;2022