24СʱÈÈÃŰæ¿éÅÅÐаñ    

²é¿´: 243  |  »Ø¸´: 1
±¾Ìû²úÉú 1 ¸ö £¬µã»÷ÕâÀï½øÐв鿴

xinren08

Ìú¸Ëľ³æ (ÖªÃû×÷¼Ò)

[ÇóÖú] Çë°ïæ²éÒ»ÏÂÏÂÃæÕâÆªÎÄÕÂÓÐûÓб»SCI¼ìË÷£¬Ð»Ð»ÁË£¡

ÌâÄ¿£ºThree modified Polak-Ribi¨¨re-Polyak conjugate gradient methods with sufficient descent property
×÷ÕߣºMin Sun1* and Jing Liu2
ÔÓÖ¾£¬Ä꣬ÎÄÕÂÐòºÅ£ºJournal of Inequalities and Applications 2015, 2015:125
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

Ðľ²_ÒÀÈ»

°æÖ÷ (ÖªÃû×÷¼Ò)

ÃüÖСù×¢¶¨

ÓÅÐã°æÖ÷ÓÅÐã°æÖ÷

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
xinren08: ½ð±Ò+50, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸, Ì«ºÃÁË¡£Ò»Ö±µ£ÐĽø²»È¥¡£Ð»Ð»ÁË£¡ 2015-09-17 18:09:32
sunshan4379: LS-EPI+1, ¸ÐлӦÖú£¡ 2015-09-17 23:36:34
Three modified Polak-Ribiere-Polyak conjugate gradient methods with sufficient descent property
×÷Õß:Sun, M (Sun, Min)[ 1 ] ; Liu, J (Liu, Jing)[ 2 ]
JOURNAL OF INEQUALITIES AND APPLICATIONS
ÎÄÏ׺Å: 125
DOI: 10.1186/s13660-015-0649-9
³ö°æÄê: APR 8 2015
²é¿´ÆÚ¿¯ÐÅÏ¢
ÕªÒª
In this paper, three modified Polak-Ribiere-Polyak (PRP) conjugate gradient methods for unconstrained optimization are proposed. They are based on the two-term PRP method proposed by Cheng (Numer. Funct. Anal. Optim. 28:1217-1230, 2007), the three-term PRP method proposed by Zhang et al. (IMA J. Numer. Anal. 26:629-640, 2006), and the descent PRP method proposed by Yu et al. (Optim. Methods Softw. 23:275-293, 2008). These modified methods possess the sufficient descent property without any line searches. Moreover, if the exact line search is used, they reduce to the classical PRP method. Under standard assumptions, we show that these three methods converge globally with a Wolfe line search. We also report some numerical results to show the efficiency of the proposed methods.
¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:conjugate gradient method; sufficient descent property; global convergence
KeyWords Plus:SCALE UNCONSTRAINED OPTIMIZATION; GLOBAL CONVERGENCE; LINE SEARCH
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Sun, M (ͨѶ×÷Õß)
              Zaozhuang Univ, Sch Math & Stat, Beian St, Zaozhuang 277160, Peoples R China.
µØÖ·:
              [ 1 ] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China
              [ 2 ] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China
µç×ÓÓʼþµØÖ·:ziyouxiaodou@163.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
Shandong Province outstanding young teachers in higher schools          
foundation of Scientific Research Project of Shandong Universities        
J13LI03
Shandong Province Statistical Research Project        
20143038
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
³ö°æÉÌ
SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied; Mathematics
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000357411200004
ISSN: 1029-242X
ÆÚ¿¯ÐÅÏ¢
Ŀ¼£º Current Contents Connect®
Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
ÆäËûÐÅÏ¢
IDS ºÅ: CM1AF
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 25
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
²»Íü³õÐÄ......
2Â¥2015-09-17 18:07:39
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ xinren08 µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[»ù½ðÉêÇë] ͶƱ:  ÓжàÉÙÈËÊǽñÌì²éϵͳ֪µÀ½á¹ûµÄ£¿ +5 °®¿´ÊéµÄ¿ÉÀÖ 2026-08-26 5/250 2026-08-26 10:25 by babangida
[»ù½ðÉêÇë] ½ñÌìÎñί»á¿ªÍêÁË£¬Ã÷Ìì³ö½á¹ûÂð +19 angus9576 2026-08-25 23/1150 2026-08-26 10:03 by zp519
[»ù½ðÉêÇë] ÏîÄ¿ÐÅÏ¢ºÍ¾­·ÑÐÅÏ¢ÔÚϵͳÀï¶¼¿ÉÒÔ¿´µ½ÁË +6 wittyboy 2026-08-26 13/650 2026-08-26 09:48 by wittyboy
[Ö°³¡ÈËÉú] ѧÉúײ¼û¸¨µ¼Ô±ËÍÍâÂô£¬µÚ¶þÌìÈ«°à¶¼³ÁĬÁË +3 ¾¨ÓãÈÚ½ð_Õã½­_É 2026-08-22 3/150 2026-08-26 09:01 by zzuzxg
[»ù½ðÉêÇë] ¹úºÏÏÖÔڲ鲻µ½ÁËÂ𣿠+10 chengyan1220 2026-08-24 20/1000 2026-08-26 08:57 by peasantsprig
[»ù½ðÉêÇë] Å£À´£¡Ã×À´£¡ÃæÀ´£¡ +8 beefly 2026-08-26 8/400 2026-08-26 08:37 by xuzhipiao
[»ù½ðÉêÇë] 2026Äê8ÔÂ25ÈÕ¹ú×ÔÈ»·Å°ñǰͻȻÊÕµ½ÁÐÈëÆÀÉóר¼ÒÓʼþ£¬ÓйØÏµÂ𣿠+24 ľˮ˼¶¹ 2026-08-25 27/1350 2026-08-26 08:26 by yanchen918
[»ù½ðÉêÇë] Ã÷ÌìÓ¦¸Ã¿É²éÁË£¡£¿ +6 chengyan1220 2026-08-23 6/300 2026-08-25 19:45 by zfd97
[»ù½ðÉêÇë] ÓÐûÓдóÉñ°ïÎÒ¿´¿´»ù½ð´úÂë 28+4 1234567wang 2026-08-24 10/500 2026-08-25 19:15 by lfy8008
[»ù½ðÉêÇë] ·Å°ñǰµÄ²»µ­¶¨ 20+4 snowwithsea 2026-08-19 19/950 2026-08-25 17:57 by chick875
[»ù½ðÉêÇë] ijЩ»ú¹¹£¬ÒÔЧÂʵÍΪÈÙ£¬ÒÔЧÂʵÍ×÷Ϊ´æÔڸР+9 yuleib84 2026-08-25 10/500 2026-08-25 17:14 by alexon
[»ù½ðÉêÇë] ½ñÈÕ²»·Å°ñ£¿Íø´«¹ú×ÔȻԤ¼Æ 8 Ô 27 Èտɲé½á¹û +17 ҽѧÀÏÄк¢ 2026-08-20 22/1100 2026-08-25 15:36 by ҽѧÀÏÄк¢
[»ù½ðÉêÇë] ûÓÐÈκÎÏûÏ¢-ÊDz»ÊǾÍÁ¹ÁË +9 ͼÀ²Í¼À² 2026-08-24 10/500 2026-08-25 11:59 by ÄϺ£Ð¡¸ç
[»ù½ðÉêÇë] ÈËÆø²»ÐÐÁË +11 fansofjerry 2026-08-21 11/550 2026-08-25 11:04 by ¹Â¶ÀµÄÓ¢ÐÛ6
[»ù½ðÉêÇë] ÎÒÃæÉÏÍêµ°ÁË +13 ÇÒÌý»¢Ð¥ 2026-08-20 14/700 2026-08-25 09:10 by mrkang
[»ù½ðÉêÇë] ÈÃÎÒÖÐÒ»¸öÃæÉϰɣ¡ +13 ´óƼ1987 2026-08-20 16/800 2026-08-24 10:23 by ̫ɵÁË
[½Ìʦ֮¼Ò] Ìø²ÛºóÔÚÑÐÏîÄ¿Ôõô°ì£¿ +5 ¼òµ¥»¯xn 2026-08-22 10/500 2026-08-23 12:38 by ¼òµ¥»¯xn
[»ù½ðÉêÇë] ¿´À´½ñÌì²»»á·Å°ñÁË£¿ +8 chengyan1220 2026-08-21 11/550 2026-08-21 17:52 by dcqxinyang
[»ù½ðÉêÇë] ʱ¼ä´ÁÓÖ±äÁË +13 wuchongjun 2026-08-20 19/950 2026-08-21 17:21 by ×Ïɼ´¼
[»ù½ðÉêÇë] ½ñÌì·Å°ñûϷÁ衃 +9 yuleib84 2026-08-19 11/550 2026-08-21 10:06 by gltch
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û