Details

Autor(en) / Beteiligte

• Bnouhachem, Abdellah
• Rassias, Themistocles M.

Titel

On descent alternating direction method with LQP regularization for the structured variational inequalities

Ist Teil von

• Optimization letters, 2020-09, Vol.14 (6), p.1353-1369

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2020

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• By reviewing the Logarithmic–quadratic proximal (LQP) method, in this paper we suggest and analyze a new LQP alternating direction scheme for the separable constrained convex programming problem. The optimal step size along the descent direction is chosen to improve the efficiency of the new method. By making use of the LQP system of nonlinear equations, weaker conditions are presented to ensure the global convergence of the proposed method. We have also discussed some numerical results to illustrate the efficiency of the proposed method.