On continuous selections of polynomial functions
From MaRDI portal
Publication:6198506
DOI10.1080/02331934.2022.2103417arXiv2007.03952OpenAlexW4287726042WikidataQ113851558 ScholiaQ113851558MaRDI QIDQ6198506
Liguo Jiao, Do Sang Kim, Feng Guo
Publication date: 23 February 2024
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.03952
Sensitivity, stability, well-posedness (49K40) Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31) Semialgebraic sets and related spaces (14P10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and genericity for semi-algebraic compact programs
- The Morse-Sard theorem for Clarke critical values
- Optimality conditions and finite convergence of Lasserre's hierarchy
- Regularity concepts in nonsmooth analysis. Theory and applications
- New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors
- Error bounds and Hölder metric subregularity
- Error bounds: necessary and sufficient conditions
- Sensitivity analysis of composite piecewise smooth equations
- Error bounds in mathematical programming
- Complementarity and nondegeneracy in semidefinite programming
- First and second order analysis of nonlinear semidefinite programs
- From error bounds to the complexity of first-order descent methods for convex functions
- A property of piecewise smooth functions
- Geometric categories and o-minimal structures
- Global error bounds for piecewise convex polynomials
- On Morse theory for piecewise smooth functions
- A study of piecewise linear-quadratic programs
- Hölder-type global error bounds for non-degenerate polynomial systems
- Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates
- On the stable equilibrium points of gradient systems
- Error Bounds for Lower Semicontinuous Functions in Normed Spaces
- Generic Minimizing Behavior in Semialgebraic Optimization
- Introduction to Piecewise Differentiable Equations
- Calculus Without Derivatives
- Generic Optimality Conditions for Semialgebraic Convex Programs
- Piecewise Ck functions in nonsmooth analysis
- THE ŁOJASIEWICZ EXPONENT AT AN EQUILIBRIUM POINT OF A STANDARD CNN IS 1/2
- On linearization and continuous selections of functions
- The Generic Nature of Optimality Conditions in Nonlinear Programming
- Lipschitz Continuity for Constrained Processes
- Optimality conditions for piecewise smooth functions
- Morse Programs: A Topological Approach to Smooth Constrained Optimization
- Continuous selections of linear functions and nonsmooth critical point theory
- Variational Analysis
- A survey on error bounds for lower semicontinuous functions
- Qualification Conditions in Semialgebraic Programming
- Generic properties of the complementarity problem
- Qualitative aspects of the local approximation of a piecewise differentiable function
- Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
- Generic Properties for Semialgebraic Programs
- Singular Points of Complex Hypersurfaces. (AM-61)
- On the generic properties of convex optimization problems in conic form