Naive constant rank-type constraint qualifications for multifold second-order cone programming and semidefinite programming
From MaRDI portal
Publication:2115314
DOI10.1007/s11590-021-01737-wzbMath1489.90103arXiv2008.07894OpenAlexW3154702083MaRDI QIDQ2115314
D. O. Santos, Gabriel Haeser, C. Héctor Ramírez, Leonardo M. Mito, Thiago P. Silveira, Roberto Andreani
Publication date: 15 March 2022
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07894
global convergencesemidefinite programmingoptimality conditionsconstraint qualificationssecond-order cone programming
Semidefinite programming (90C22) Optimality conditions and duality in mathematical programming (90C46)
Related Items
First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition, On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming, Weak notions of nondegeneracy in nonlinear semidefinite programming, New constraint qualifications for mathematical programs with second-order cone complementarity constraints, Optimality conditions for nonlinear second-order cone programming and symmetric cone programming, Sequential constant rank constraint qualifications for nonlinear semidefinite programming with algorithmic applications, Global convergence of algorithms under constant rank conditions for nonlinear second-order cone programming
Cites Work
- Unnamed Item
- Unnamed Item
- Interior point methods 25 years later
- Implications of the constant rank constraint qualification
- A relaxed constant positive linear dependence constraint qualification and applications
- First and second order analysis of nonlinear semidefinite programs
- Second-order cone programming
- Optimality conditions and global convergence for nonlinear semidefinite programming
- Note on Mangasarian-Fromovitz-like constraint qualifications
- New constraint qualifications and optimality conditions for second order cone programs
- Perturbation analysis of second-order cone programming problems
- Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming
- Parametric Nonlinear Programming Problems under the Relaxed Constant Rank Condition
- On relaxed constant rank regularity condition in mathematical programming
- Directional derivative of the marginal function in nonlinear programming
- Generalized equations and their solutions, part II: Applications to nonlinear programming
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Strong Duality for Semidefinite Programming
- On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods
- Erratum “A second-order sequential optimality condition associated to the convergence of optimization algorithms”
- Notes on Duality in Second Order and p -Order Cone Optimization
- On Eigenvalue Optimization
- Two New Weak Constraint Qualifications and Applications
- On second-order optimality conditions for nonlinear programming
- On sequential optimality conditions for smooth constrained optimization