Augmented Lagrangian duality and nondifferentiable optimization methods in nonconvex programming

From MaRDI portal
Publication:1812073

DOI10.1023/A:1020261001771zbMath1047.90048OpenAlexW1531386198MaRDI QIDQ1812073

Rafail N. Gasimov

Publication date: 18 June 2003

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

Full work available at URL: https://doi.org/10.1023/a:1020261001771




Related Items

Recent advances in dynamic facility layout researchThe analytic hierarchy process and multiobjective 0--1 faculty course assignmentComplementary Principle, Algorithm, and Complete Solutions to Phase Transitions in Solids Governed by Landau-Ginzburg EquationSaddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programmingInexact subgradient methods for quasi-convex optimization problemsA primal–dual penalty method via rounded weighted-ℓ1 Lagrangian dualityWeak subdifferential/superdifferential, weak exhausters and optimality conditionsUnnamed ItemGeneralized quadratic multiple knapsack problem and two solution approachesA conic scalarization method in multi-objective optimizationA hybrid global optimization algorithm for nonlinear least squares regressionConic scalarization approach to solve multi-choice multi-objective transportation problem with interval goalCanonical duality for box constrained nonconvex and nonsmooth optimization problemsMaterial requirement planning with fuzzy constraints and fuzzy coefficientsAugmented Lagrangian based hybrid subgradient method for solving aircraft maintenance routing problemSaddle point and exact penalty representation for generalized proximal LagrangiansExistence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principleConic Scalarization Method in Multiobjective Optimization and Relations with Other Scalarization MethodsGeneralized derivatives and optimality conditions in nonconvex optimizationOptimality conditions in nonconvex optimization via weak subdifferentialsA non-local topology-preserving segmentation-guided registration modelAn inexact modified subgradient algorithm for primal-dual problems via augmented LagrangiansFeasible modified subgradient method for solving the thermal unit commitment problem as a new approachSolving unit commitment problem using modified subgradient method combined with simulated annealing algorithmWeak stability and strong duality of a class of nonconvex infinite programs via augmented LagrangianA nonlinear programming technique to compute a~tight~lower bound for the real structured singular valueOn weak conjugacy, augmented Lagrangians and duality in nonconvex optimizationA hybrid epigraph directions method for nonsmooth and nonconvex constrained optimization via generalized augmented Lagrangian duality and a genetic algorithmAn augmented penalty function method with penalty parameter updates for nonconvex optimizationNew convergence properties of the primal augmented Lagrangian methodA Deflected Subgradient Method Using a General Augmented Lagrangian Duality with Implications on Penalty MethodsA sharp augmented Lagrangian-based method in constrained non-convex optimizationInterior epigraph directions method for nonsmooth and nonconvex optimization via generalized augmented Lagrangian dualityOptimality conditions via weak subdifferentials in reflexive Banach spacesCanonical Duality Theory: Connections between Nonconvex Mechanics and Global OptimizationUnnamed ItemCombined forecasts in portfolio optimization: a generalized approachAn overview of advances in combinatorial optimization related topicsAn inexact modified subgradient algorithm for nonconvex optimizationA primal dual modified subgradient algorithm with sharp LagrangianOn a modified subgradient algorithm for dual problems via sharp augmented LagrangianRadial epiderivatives and set-valued optimizationThe modified subgradient algorithm based on feasible valuesA nonlinear programming approach for the sliding mode control designA Subgradient Method Based on Gradient Sampling for Solving Convex Optimization ProblemsDuality in nonconvex vector optimizationWeak-subdifferentials for vector functions and applications to multiobjective semi-infinite optimization problemsSeparation theorems for nonconvex sets and application in optimizationGeneralized weak subdifferentialsSome relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functionsPerfect duality theory and complete solutions to a class of global optimization problems*On primal convergence for augmented Lagrangian dualityThe exact penalty map for nonsmooth and nonconvex optimizationWeak subgradient method for solving nonsmooth nonconvex optimization problemsRevisiting augmented Lagrangian dualsSome notes on weak subdifferentialExistence and characterization theorems in nonconvex vector optimizationOn generalized weak subdifferentials and some properties



OSZAR »