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math.OC2025
Quadratic convergence of an SQP method for some optimization problems with applications to control theory
Eduardo Casas, Mariano Mateos
We analyze a sequential quadratic programming algorithm for solving a class of abstract optimization problems. Assuming that the initial point is in an neighborhood of a loca…
math.OC2025
Boundary bilinear control of semilinear parabolic PDEs: quadratic convergence of the SQP method
Eduardo Casas, Mariano Mateos
We analyze a bilinear control problem governed by a semilinear parabolic equation. The control variable is the Robin coefficient on the boundary. First-order necessary and second-o…