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In this paper, we propose a primal interior-point method for large sparse minimax optimization. After a short introduction, the complete algorithm is introduced and important implementation details are given. We prove that this algorithm is globally convergent under standard mild assumptions. Thus the large sparse nonconvex minimax optimization problems can be solved successfully. The results of extensive computational experiments given in this paper confirm efficiency and robustness of the proposed...
In questa Nota si risolve il problema di esistenza per un funzionale alla Mumford-Shah in ipotesi più generali rispetto ad altri precedenti lavori sull'argomento. Si dimostra inoltre la locale finitezza delle partizioni ottimali trovate.
Si considerano questioni riguardanti la regolarità delle soluzioni di problemi di minimo di funzionali che coinvolgono sia termini di volume che di superficie. Si danno indicazioni sui risultati attesi in alcuni casi di notevole interesse, collegati a problemi di segmentazione di immagini e alla teoria dei cristalli liquidi.
On donne un développement asymptotique du profil
iso pé ri mé tri que de muni d'une métrique riemannienne
périodique, et des conséquences pour le problème de la forme
d'équilibre des cristaux.
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