Optimality Conditions for Trust-Region Subproblems Involving a Conic Model
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Publication:5317524
DOI10.1137/S1052623402418991zbMath1114.90126OpenAlexW1994556784MaRDI QIDQ5317524
Publication date: 16 September 2005
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s1052623402418991
Nonlinear programming (90C30) Optimality conditions for free problems in two or more independent variables (49K10)
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Global optimality conditions for nonconvex minimization problems with quadratic constraints ⋮ A quasi-Newton trust region method with a new conic model for the unconstrained optimization ⋮ Exact two steps SOCP/SDP formulation for a modified conic trust region subproblem ⋮ Nonmonotone adaptive trust region method ⋮ A nonmonotone adaptive trust region method based on conic model for unconstrained optimization ⋮ A simple alternating direction method for the conic trust region subproblem ⋮ An algorithm for solving new trust region subproblem with conic model ⋮ A quasi-Newton trust region method based on a new fractional model ⋮ Nonmonotone adaptive trust region method based on simple conic model for unconstrained optimization ⋮ A new hybrid method for nonlinear complementarity problems ⋮ An iterative algorithm for the conic trust region subproblem ⋮ Lagrange multiplier necessary conditions for global optimality for non-convex minimization over a quadratic constraint via S-lemma ⋮ A variant of trust-region methods for unconstrained optimization ⋮ A smoothing conic trust region filter method for the nonlinear complementarity problem ⋮ Nonmonotone conic trust region method with line search technique for bound constrained optimization ⋮ A CONIC AFFINE SCALING DOGLEG METHOD FOR NONLINEAR OPTIMIZATION WITH BOUND CONSTRAINTS ⋮ A new alternating direction trust region method based on conic model for solving unconstrained optimization ⋮ A CLASS OF MODIFIED BFGS METHODS WITH FUNCTION VALUE INFORMATION FOR UNCONSTRAINED OPTIMIZATION
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