»ã±¨±êÌâ (Title)£ºNew gradient method with quasi-Newton property and BFGS type update £¨´øÄâÅ£¶ÙÐÔÖʺÍBFGSÐ͸üеÄÐÂÌݶȲ½Ö裩

»ã±¨ÈË (Speaker)£ºËï´Ï ½ÌÊÚ£¨±±¾©Óʵç´óѧ£©

»ã±¨¹¦·ò (Time)£º2025Äê5ÔÂ17ÈÕ (ÖÜÁù) 15:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÐì×Ë ½ÌÊÚ

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»ã±¨ÌáÒª: A new stepsize for gradient method is proposed, from the perspective of quasi-Newton property. The BFGS type stepsize update strategy is proposed through quasi-Newton update formula. The global convergence of the proposed gradient method is proved, with the combination of GLL nonmonotone linesearch. The convergence rate is also analyzed. In numerical experiments, the proposed gradient method outperforms the benchmark gradient and conjugate gradient methods in terms of computational cost.