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Two efficient algorithms for nonnegative viscosity optimization in optimal damping

组织者

胡丕丕 , 梁鑫 , 马志婷 , 哈米德·莫菲迪 , Axel G.R. Turnquist , 王丽 , 熊繁升 , 杨朔 , 杨武岳

演讲者

Qingna Li

时间

2025年09月25日 14:00 至 15:00

地点

Online

线上

Zoom 928 682 9093 (BIMSA)

摘要

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.