Geodesic
Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 2, pp. 208-223 
A. A. Dryazhenkov; M. M. Potapov. Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 2, pp. 208-223. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_2_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An algorithm for solving a quadratic minimization problem on an ellipsoidal set in a Hilbert space is proposed. The algorithm is stable to nonuniform perturbations of the operators. A key condition for its application is that we know an estimate for the norm of the exact solution. Applications to boundary control problems for the one-dimensional wave equation are considered. Numerical results are presented.

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