On July 12th, 15:15-16:00 CEST, Prof. Yu-Hong Dai from AMSS of CAS delivered a 45-minute invited sectional lecture at the International Congress of Mathematicians 2022(ICM 2022). The lecture was entitled "New Trends in Nonlinear Optimization", which mainly introduced the latest achievements of himself and his collaborators in nonlinear optimization. The International Congress of Mathematicians is the most influential conference of the international mathematical community hosted by the International Mathematical Union, which is held every four years. Prof. Yu-Hong Dai works on numerical optimization with applications. He has made outstanding contributions on continuous optimization, integer programming, and applied optimization. He made a systematic study on the theory of nonlinear conjugate gradient methods and proposed the Dai-Yuan method; made a systematic study on the theory of gradient methods and proposed the Dai-Fletcher method; Gave a negative answer to the open problem on the convergence of the BFGS quasi-Newton method and solved the open problem on the complexity of sequentially lifting cover inequalities for the knapsack polytope; In 2018, he developed the CMIP by leading his group, which the first modern integer programming solver in China. Prof. Yu-Hong Dai received Second Grade of National Natural Science Award of China (2006) with Prof. Ya-Xiang Yuan. He also won numerous awards named after famous scientists, including Shiing-Shen Chern Mathematics Prize (2017), Feng Kang Scientific Computing Prize (2015), Xiao Shutie Applied Mathematics Prize (2018). He is currently the chairman of the Association of Asia-Pacific Operational Research Societies (APORS) and the president of the Operations Research Society of China (ORSC).
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