On nondegenerate M-stationary points for sparsity constrained nonlinear optimization

DOI10.1007/s10898-021-01070-7zbMath1486.90191arXiv1912.04087OpenAlexW3193729844MaRDI QIDQ2114575

Yanyan Li

Publication date: 15 March 2022

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04087

zbMATH Keywords

Morse theorysaddle pointsgenericitynondegeneracysparsity constraintM-stationarityM-index

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (3)

Critical point theory for sparse recovery ⋮ Inexact penalty decomposition methods for optimization problems with geometric constraints ⋮ Optimality conditions for mathematical programs with orthogonality type constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On solutions of sparsity constrained optimization
• The first-order necessary conditions for sparsity constrained optimization
• Constraint qualifications and optimality conditions for optimization problems with cardinality constraints
• Mathematical programs with vanishing constraints: critical point theory
• Topological aspects of nonsmooth optimization.
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• Second-order optimality conditions and improved convergence results for regularization methods for cardinality-constrained optimization problems
• Optimality conditions for sparse nonlinear programming
• On the Minimization Over Sparse Symmetric Sets: Projections, Optimality Conditions, and Algorithms
• Sparsity Constrained Nonlinear Optimization: Optimality Conditions and Algorithms
• Morse Theory. (AM-51)
• Differential Topology
• Variational Analysis
• Proximal Mapping for Symmetric Penalty and Sparsity
• MPCC: Critical Point Theory
• Sparse Approximation via Penalty Decomposition Methods
• Mathematical Programs with Cardinality Constraints: Reformulation by Complementarity-Type Conditions and a Regularization Method
• Compressed sensing
• Simplicial homotopy theory

This page was built for publication: On nondegenerate M-stationary points for sparsity constrained nonlinear optimization