Pseudopower expansion of solutions of generalized equations and constrained optimization problems

zbMath0842.65044MaRDI QIDQ1906067

Agnès Sulem, Joseph Frédéric Bonnans

Publication date: 25 February 1996

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

Banach spacesconstrained optimizationhigh-order approximationspseudopower expansionsolutions of generalized equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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Stability analysis for composite optimization problems and parametric variational systems ⋮ The Josephy-Newton method for semismooth generalized equations and semismooth SQP for optimization ⋮ Convergence rate estimates for penalty methods revisited ⋮ Jacobian nonsingularity in nonlinear symmetric conic programming problems and its application ⋮ On the Aubin property of a class of parameterized variational systems ⋮ Newton-type methods: a broader view ⋮ A proof of the necessity of linear independence condition and strong second-order sufficient optimality condition for Lipschitzian stability in nonlinear programming ⋮ Perturbation analysis of nonlinear semidefinite programming under Jacobian uniqueness conditions ⋮ Perturbation analysis of second-order cone programming problems ⋮ Nonlinear model predictive control with aggregated constraints ⋮ An interior affine scaling cubic regularization algorithm for derivative-free optimization subject to bound constraints

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