Quadratic Growth and Linear Convergence of a DCA Method for Quartic Minimization over the Sphere

DOI10.1007/S10957-024-02401-WMaRDI QIDQ6493976

Sheng-Long Hu, Unnamed Author

Publication date: 29 April 2024

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical analysis (65-XX) Calculus of variations and optimal control; optimization (49-XX) Operations research, mathematical programming (90-XX)

Cites Work

• Proximal alternating linearized minimization for nonconvex and nonsmooth problems
• Quadratic growth and critical point stability of semi-algebraic functions
• Eigenvalues and invariants of tensors
• Z-eigenvalue methods for a global polynomial optimization problem
• Characterization of the subdifferential of some matrix norms
• Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods
• Algebraic connectivity of an even uniform hypergraph
• \(\mathrm{B}\)-subdifferentials of the projection onto the matrix simplex
• Certifying the global optimality of quartic minimization over the sphere
• Semidefinite Relaxations for Best Rank-1 Tensor Approximations
• Computing B-Stationary Points of Nonsmooth DC Programs
• Prox-regular functions in variational analysis
• Tensor Analysis
• The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
• Higher Order Positive Semidefinite Diffusion Tensor Imaging
• Second-order directional derivatives of all eigenvalues of a symmetric matrix
• A DCA-Newton method for quartic minimization over the sphere

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