caa a22 4500 378920731 CHVBK 20180305123604.0 cr unu---uuuuu 161128e20041101xx s 000 0 eng 10.1515/1569395042571292 doi (NATIONALLICENCE)gruyter-10.1515/1569395042571292 Shi Z.-J College of Operations Research and Management, Qufu Normal University, Rizhao, Shandong276826, China and Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing100080, China Convergence of multi-step curve search method for unconstrained optimization [Elektronische Daten] [Z.-J. Shi] A new multi-step curve search method for unconstrained minimization problems is proposed. The convergence of the algorithm is proved under some mild conditions. The linear convergence rate is also investigated when the objective function is uniformly convex. This method uses previous multi-step iterative information and curve search rule to generate new iterative points. Using more previous iterative information and curve search rule can make the new method converge more stably than traditional descent methods and be suitable to solve large scale problems. Copyright 2004, Walter de Gruyter unconstrained optimization nationallicence multi-step nationallicence curve search method nationallicence convergence nationallicence Journal of Numerical Mathematics Walter de Gruyter 12/4(2004-11-01), 297-309 1570-2820 12:4<297 2004 12 jnma https://doi.org/10.1515/1569395042571292 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569395042571292 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shi Z.-J College of Operations Research and Management, Qufu Normal University, Rizhao, Shandong276826, China and Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing100080, China NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 12/4(2004-11-01), 297-309 1570-2820 12:4<297 2004 12 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter