caa a22 4500 47575039X CHVBK 20180406123522.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1023/A:1008753308646 doi (NATIONALLICENCE)springer-10.1023/A:1008753308646 Convergence of the Nonmonotone Perry and Shanno Method for Optimization [Elektronische Daten] [Guanghui Liu, Lili Jing] In this paper a new nonmonotone conjugate gradient method is introduced, which can be regarded as a generalization of the Perry and Shanno memoryless quasi-Newton method. For convex objective functions, the proposed nonmonotone conjugate gradient method is proved to be globally convergent. Its global convergence for non-convex objective functions has also been studied. Numerical experiments indicate that it is able to efficiently solve large scale optmization problems. Kluwer Academic Publishers, 2000 optimization nationallicence conjugate gradient method nationallicence global convergence nationallicence Liu Guanghui Department of Industrial Engineering and Management Sciences, Northwestern University, 60208, Evanston, Illinois, USA aut Jing Lili College of Economics and Management, Beijing Forestry University, 100083, Beijing, People's Republic of China aut Computational Optimization and Applications Kluwer Academic Publishers 16/2(2000-07-01), 159-172 0926-6003 16:2<159 2000 16 10589 https://doi.org/10.1023/A:1008753308646 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008753308646 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Guanghui Department of Industrial Engineering and Management Sciences, Northwestern University, 60208, Evanston, Illinois, USA aut NATIONALLICENCE 700 1- Jing Lili College of Economics and Management, Beijing Forestry University, 100083, Beijing, People's Republic of China aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 16/2(2000-07-01), 159-172 0926-6003 16:2<159 2000 16 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer