A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function

• Published in: Applied mathematics and computation Vol. 394; p. 125822
• Main Authors: Boţ, Radu Ioan, Kanzler, Laura
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2021; Elsevier
• Subjects: Asymptotic analysis; Block-coordinate minimization; Forward-backward dynamical system; Kurdyka-Łojasiewicz property; Mathematics; Kurdyka-Łojasiewicz property; 49J52; 90C56; 90C26; Block-coordinate minimization; Asymptotic analysis; 34G25; 37N40; Forward-backward dynamical system; block-coordinate minimization forward-backward dynamical system asymptotic analysis Kurdyka-Łojasiewicz property AMS subject classification. 34G25 37N40 49J52 90C26 90C56; forward-backward dynamical system; Kurdyka-Łojasiewicz property AMS subject classification. 34G25; asymptotic analysis; block-coordinate minimization

In this paper we aim to minimize the sum of two nonsmooth (possibly also nonconvex) functions in separate variables connected by a smooth coupling function. To tackle this problem we choose a continuous forward-backward approach and introduce a dynamical system which is formulated by means of the pa...