Corpus ID: 218571421

Augmented Lagrangian Method for Second-Order Cone Programs under Second-Order Sufficiency

@article{Hang2020AugmentedLM,
  title={Augmented Lagrangian Method for Second-Order Cone Programs under Second-Order Sufficiency},
  author={N. Hang and B. Mordukhovich and M. Sarabi},
  journal={ArXiv},
  year={2020},
  volume={abs/2005.04182}
}
This paper addresses problems of second-order cone programming important in optimization theory and applications. The main attention is paid to the augmented Lagrangian method (ALM) for such problems considered in both exact and inexact forms. Using generalized differential tools of second-order variational analysis, we formulate the corresponding version of second-order sufficiency and use it to establish, among other results, the uniform second-order growth condition for the augmented… Expand
5 Citations

References

SHOWING 1-10 OF 44 REFERENCES
Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems
  • 28
  • Highly Influential
Full Stability of Locally Optimal Solutions in Second-Order Cone Programs
  • 32
  • PDF
Perturbation analysis of second-order cone programming problems
  • 120
  • PDF
Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
  • 114
Second-order variational analysis in second-order cone programming
  • 12
Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition
  • 63
  • Highly Influential
  • PDF
Criticality of Lagrange Multipliers in Variational Systems
  • 7
  • PDF
Variational Analysis of Composite Models with Applications to Continuous Optimization
  • 15
  • PDF
First- and second-order epi-differentiability in nonlinear programming
  • 181
  • PDF
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