On computing minimal \(H\)-eigenvalue of sign-structured tensors
From MaRDI portal
Publication:721453
DOI10.1007/s11464-017-0645-0zbMath1401.65037OpenAlexW2756079122WikidataQ114222312 ScholiaQ114222312MaRDI QIDQ721453
Publication date: 19 July 2018
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-017-0645-0
positive semi-definiteness\(H\)-eigenvalueextended essentially nonnegative tensor (EEN-tensor)sum-of-squares (SOS) polynomial
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear programming (90C30) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)
Related Items (29)
An iterative scheme for testing the positive definiteness of multivariate homogeneous forms ⋮ A linearly convergent algorithm for sparse signal reconstruction ⋮ Some inequalities for the Fan product of \(M\)-tensors ⋮ Further results on sum-of-squares tensors ⋮ The iterative solution of a class of tensor equations via Einstein product with a tensor inequality constraint ⋮ New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors ⋮ High-order sum-of-squares structured tensors: theory and applications ⋮ A relaxed self-adaptive projection algorithm for solving the multiple-sets split equality problem ⋮ Characteristic polynomial and higher order traces of third order three dimensional tensors ⋮ Bound estimations on the eigenvalues for Fan product of \(M\)-tensors ⋮ An algorithm for the spectral radius of weakly essentially irreducible nonnegative tensors ⋮ An iterative algorithm to solve the generalized Sylvester tensor equations ⋮ C-eigenvalue inclusion theorems for piezoelectric-type tensors ⋮ Spectral projected gradient methods for generalized tensor eigenvalue complementarity problems ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ An SDP method for copositivity of partially symmetric tensors ⋮ An iterative scheme for identifying the positive semi-definiteness of even-order real symmetric H-tensor ⋮ Exclusion sets in the \(S\)-type eigenvalue localization sets for tensors ⋮ Column sufficient tensors and tensor complementarity problems ⋮ Solution structures of tensor complementarity problem ⋮ The tensor Padé-type approximant with application in computing tensor exponential function ⋮ On copositiveness identification of partially symmetric rectangular tensors ⋮ A potential reduction method for tensor complementarity problems ⋮ M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors ⋮ New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications ⋮ Upper bounds for Z\(_1\)-eigenvalues of generalized Hilbert tensors ⋮ Birkhoff-von Neumann theorem and decomposition for doubly stochastic tensors ⋮ On the M-eigenvalue estimation of fourth-order partially symmetric tensors ⋮ αβΩ-inclusion sets for general C-eigenvalues of a general piezoelectric-type tensor
Uses Software
Cites Work
- A tensor analogy of Yuan's theorem of the alternative and polynomial optimization with sign structure
- An \(H\)-tensor based iterative scheme for identifying the positive definiteness of multivariate homogeneous forms
- SOS tensor decomposition: theory and applications
- Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming
- Spectra of uniform hypergraphs
- \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
- The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph
- Criteria for strong \(H\)-tensors
- Copositive tensor detection and its applications in physics and hypergraphs
- An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
- Z-eigenvalue methods for a global polynomial optimization problem
- Copositivity detection of tensors: theory and algorithm
- Parameter selection for nonnegative $l_1$ matrix/tensor sparse decomposition
- Nonsingular \(H\)-tensor and its criteria
- Computing extreme eigenvalues of large scale Hankel tensors
- \(M\)-tensors and nonsingular \(M\)-tensors
- Eigenvalues of a real supersymmetric tensor
- $M$-Tensors and Some Applications
- A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
- Finding the Largest Eigenvalue of a Nonnegative Tensor
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Pre- and Post-Processing Sum-of-Squares Programs in Practice
- All Real Eigenvalues of Symmetric Tensors
- Fast Hankel tensor–vector product and its application to exponential data fitting
- Convergence analysis of a block improvement method for polynomial optimization over unit spheres
- Higher Order Positive Semidefinite Diffusion Tensor Imaging
This page was built for publication: On computing minimal \(H\)-eigenvalue of sign-structured tensors
