A new Brauer-type \(Z\)-eigenvalue inclusion set for tensors
From MaRDI portal
Publication:670482
DOI10.1007/s11075-018-0506-2zbMath1407.15014OpenAlexW2793949293WikidataQ114224353 ScholiaQ114224353MaRDI QIDQ670482
Publication date: 18 March 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-018-0506-2
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)
Related Items (22)
Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications ⋮ Sharp upper bounds on the maximum \(M\)-eigenvalue of fourth-order partially symmetric nonnegative tensors ⋮ Pareto \(Z\)-eigenvalue inclusion theorems for tensor eigenvalue complementarity problems ⋮ Unnamed Item ⋮ New \(Z\)-eigenvalue localization sets for tensors with applications ⋮ \(Z\)-eigenvalue exclusion theorems for tensors ⋮ A new Brauer-type \(Z\)-eigenvalue inclusion set for even-order tensors ⋮ Eigenvalue bounds of third-order tensors via the minimax eigenvalue of symmetric matrices ⋮ A projection method based on discrete normalized dynamical system for computing C-eigenpairs ⋮ Further study on \(Z\)-eigenvalue localization set and positive definiteness of fourth-order tensors ⋮ Optimal \(Z\)-eigenvalue inclusion intervals for even order tensors and their applications ⋮ New S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor with applications ⋮ \(Z\)-eigenvalue localization sets for even order tensors and their applications ⋮ Note on \(Z \)-eigenvalue inclusion theorems for tensors ⋮ \(M\)-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order partially symmetric tensors ⋮ \(E\)-eigenvalue localization sets for fourth-order tensors ⋮ Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors ⋮ Sharp bounds on the minimum \(M\)-eigenvalue and strong ellipticity condition of elasticity \(Z\)-tensors-tensors ⋮ Optimal \(Z\)-eigenvalue inclusion intervals of tensors and their applications ⋮ A new C-eigenvalue interval for piezoelectric-type tensors ⋮ E-eigenvalue inclusion theorems for tensors ⋮ Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms
Cites Work
- Unnamed Item
- Bounds for the Z-eigenpair of general nonnegative tensors
- On the convergence of a greedy rank-one update algorithm for a class of linear systems
- Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
- \(Z\)-eigenpair bounds for an irreducible nonnegative tensor
- A new \(Z\)-eigenvalue localization set for tensors
- \(Z\)-eigenvalue inclusion theorems for tensors
- A proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach
- Some remarks on greedy algorithms
- Upper bound for the largest \(Z\)-eigenvalue of positive tensors
- Eigenvalues of a real supersymmetric tensor
- Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines
- Rank-One Approximation to High Order Tensors
- On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
- An eigenvalue localization set for tensors with applications to determine the positive (semi-)definiteness of tensors
- The Best Rank-One Approximation Ratio of a Tensor Space
- Shifted Power Method for Computing Tensor Eigenpairs
- On the successive supersymmetric rank-1 decomposition of higher-order supersymmetric tensors
- On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
- Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors
- Higher Order Positive Semidefinite Diffusion Tensor Imaging
This page was built for publication: A new Brauer-type \(Z\)-eigenvalue inclusion set for tensors
