Jacobian nonsingularity in nonlinear symmetric conic programming problems and its application

DOI10.1155/2020/8824126zbMath1459.90203OpenAlexW3113953562MaRDI QIDQ2217857

Dezhou Kong, Yun Wang

Publication date: 14 January 2021

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8824126

Mathematics Subject Classification ID

Semidefinite programming (90C22) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Methods of successive quadratic programming type (90C55)

Cites Work

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• Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems
• Equivalent conditions for Jacobian nonsingularity in linear symmetric cone programming
• Monotone functions on formally real Jordan algebras
• Clarke generalized Jacobian of the projection onto symmetric cones
• A note on convergence analysis of an SQP-type method for nonlinear semidefinite programming
• Properties of equation reformulation of the Karush-Kuhn-Tucker condition for nonlinear second order cone optimization problems
• Lipschitzian inverse functions, directional derivatives, and applications in \(C^{1,1}\) optimization
• On the upper Lipschitz property of the KKT mapping for nonlinear semidefinite optimization
• Pseudopower expansion of solutions of generalized equations and constrained optimization problems
• An SQP-type algorithm for nonlinear second-order cone programs
• Perturbation analysis of second-order cone programming problems
• Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization
• Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability
• Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
• Nonsmooth Equations: Motivation and Algorithms
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
• Constraint Nondegeneracy, Strong Regularity, and Nonsingularity in Semidefinite Programming
• Optimization and nonsmooth analysis
• Strongly Regular Generalized Equations
• Strong stability in nonlinear programming revisited
• A Global Algorithm for Nonlinear Semidefinite Programming
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications

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