@article{10902/34507,
year = {2024},
url = {https://hdl.handle.net/10902/34507},
abstract = {We show that a second order sufficient condition for local optimality, along with a strict complementarity condition, is enough to get the superlinear convergence of the semismooth Newton method for an optimal control problem governed by a semilinear elliptic equation. The objective functional may include a sparsity promoting term and we allow for box control constraints.},
organization = {The authors were partially supported by MCIN/AEI/10.13039/501100011033 underresearch project PID2020-114837GB-I00.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2024, 62(6), 3076-3090},
title = {Convergence analysis of the semismooth newton method for sparse control problems governed by semilinear elliptic equations},
author = {Casas Rentería, Eduardo and Mateos Alberdi, Mariano},
}