BIMSA > BIMSA Computational Math Seminar Two efficient algorithms for nonnegative viscosity optimization in optimal damping
Two efficient algorithms for nonnegative viscosity optimization in optimal damping
Organizers
Pipi Hu , Xin Liang , Zhiting Ma , Hamid Mofidi , Axel G.R. Turnquist , Li Wang , Fansheng Xiong , Shuo Yang , Wuyue Yang
Speaker
Qingna Li
Time
Thursday, September 25, 2025 2:00 PM - 3:00 PM
Venue
Online
Online
Zoom 928 682 9093 (BIMSA)
Abstract
We describe two fast optimization algorithms for optimal viscosity in damped mechanical systems with nonnegative constraints for viscosities are added in the optimization model, which hasn't been considered before. The KKT conditions of the resulting optimization problem are derived, where the Lyapunov equation can be solved based on the fast eigenvalue solver for the structured quadratic eigenvalue problem. By combining with the Barzilai-Borwein stepsize, the proposed BB residual minimization algorithm (short for BBRMA) and the spectral gradient method can further speed up to deal with large scale linear vibration systems. Extensive numerical results verify the high efficiency of the two proposed algorithm. This is a joint work with Francoise Tisseur.