Approximation algorithms for homogeneous polynomial optimization with quadratic constraints

From MaRDI portal
Publication:607501

DOI10.1007/s10107-010-0409-zzbMath1206.90124OpenAlexW2076426934MaRDI QIDQ607501

Simai He, Zhening Li, Shu-Zhong Zhang

Publication date: 22 November 2010

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://researchportal.port.ac.uk/portal/en/publications/approximation-algorithms-for-homogeneous-polynomial-optimization-with-quadratic-constraints(66108c79-caa8-440a-a77a-3eb5714d6cec).html



Related Items

A tensor analogy of Yuan's theorem of the alternative and polynomial optimization with sign structure, Concepts and techniques of optimization on the sphere, The cubic spherical optimization problems, Rank-1 Tensor Properties with Applications to a Class of Tensor Optimization Problems, A note on semidefinite programming relaxations for polynomial optimization over a single sphere, On approximation algorithm for orthogonal low-rank tensor approximation, Several approximation algorithms for sparse best rank-1 approximation to higher-order tensors, Global optimality conditions and optimization methods for constrained polynomial programming problems, On norm compression inequalities for partitioned block tensors, Self-concordance is NP-hard, Approximation algorithms for discrete polynomial optimization, Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations, Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors, Maximization of homogeneous polynomials over the simplex and the sphere: structure, stability, and generic behavior, On solving biquadratic optimization via semidefinite relaxation, The convergence properties of infeasible inexact proximal alternating linearized minimization, Practical approximation algorithms for \(\ell_1\)-regularized sparse rank-1 approximation to higher-order tensors, Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration, Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors, Approximating Tensor Norms via Sphere Covering: Bridging the Gap between Primal and Dual, Two extremal problems related to orders, On New Classes of Nonnegative Symmetric Tensors, On Orthogonal Tensors and Best Rank-One Approximation Ratio, Deterministic approximation algorithms for sphere constrained homogeneous polynomial optimization problems, Alternating direction method for bi-quadratic programming, Properties and methods for finding the best rank-one approximation to higher-order tensors, Approximation bounds for trilinear and biquadratic optimization problems over nonconvex constraints, On local convexity of quadratic transformations, The Epsilon-Alternating Least Squares for Orthogonal Low-Rank Tensor Approximation and Its Global Convergence, On decompositions and approximations of conjugate partial-symmetric tensors, Semidefinite relaxation approximation for multivariate bi‐quadratic optimization with quadratic constraints, Approximation algorithms for optimization of real-valued general conjugate complex forms, On cones of nonnegative quartic forms, Convergence analysis of a block improvement method for polynomial optimization over unit spheres, A feasible method for optimization with orthogonality constraints, An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels, Linear operators and positive semidefiniteness of symmetric tensor spaces, Penalized semidefinite programming for quadratically-constrained quadratic optimization, A concise proof to the spectral and nuclear norm bounds through tensor partitions, Approximation algorithms for nonnegative polynomial optimization problems over unit spheres, Lower bounds for cubic optimization over the sphere, Characterizing Real-Valued Multivariate Complex Polynomials and Their Symmetric Tensor Representations, Approximation methods for complex polynomial optimization, Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor, On the tensor spectral \(p\)-norm and its dual norm via partitions, Bounds on the Spectral Norm and the Nuclear Norm of a Tensor Based on Tensor Partitions, An efficient alternating minimization method for fourth degree polynomial optimization, A Unifying Perron--Frobenius Theorem for Nonnegative Tensors via Multihomogeneous Maps, Inhomogeneous polynomial optimization over a convex set: An approximation approach, Probability Bounds for Polynomial Functions in Random Variables, Hardness and Approximation Results for Lp-Ball Constrained Homogeneous Polynomial Optimization Problems, Computing the largest C-eigenvalue of a tensor using convex relaxation


Uses Software


Cites Work