On New Classes of Nonnegative Symmetric Tensors
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Publication:2968174
DOI10.1137/140988796zbMath1359.15020OpenAlexW2589634431MaRDI QIDQ2968174
Bilian Chen, Zhening Li, Simai He, Shu-Zhong Zhang
Publication date: 10 March 2017
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140988796
convex conesnumerical experimentssymmetric tensorsquartic formsnonnegative formsnonnegative symmetric tensorspolynomial and tensor optimization
Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69)
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Cites Work
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- Tensor Decompositions and Applications
- On cones of nonnegative quartic forms
- Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
- Semidefinite representation of convex sets
- Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem
- Eigenvalues and invariants of tensors
- A new relaxation framework for quadratic assignment problems based on matrix splitting
- Decomposition-based method for sparse semidefinite relaxations of polynomial optimization problems
- Global optimization of higher order moments in portfolio selection
- A GRASP for the biquadratic assignment problem
- On the convergence of the coordinate descent method for convex differentiable minimization
- Heuristics for biquadratic assignment problems and their computational comparison
- Uniform denominators in Hilbert's seventeenth problem
- NP-hardness of deciding convexity of quartic polynomials and related problems
- Eigenvalues of a real supersymmetric tensor
- Global Optimization with Polynomials and the Problem of Moments
- Maximum Block Improvement and Polynomial Optimization
- A Low-Dimensional Semidefinite Relaxation for the Quadratic Assignment Problem
- GloptiPoly 3: moments, optimization and semidefinite programming
- Sums of even powers of real linear forms
- Positive polynomials on semi-algebraic sets
- Multivariate Nonnegative Quadratic Mappings
- Semidefinite Optimization and Convex Algebraic Geometry
- The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems
- Moments Tensors, Hilbert's Identity, and k-wise Uncorrelated Random Variables
- Norm attaining polynomials
- Approximation Methods for Polynomial Optimization
- On Cones of Nonnegative Quadratic Functions
- Über homogene Polynome in ($L^{2}$)
