|Table of Contents|

A Nonsmooth Newton-Type Method for Nonlinear Semidefinite Programming(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年02期
Page:
1-7
Research Field:
数学
Publishing date:

Info

Title:
A Nonsmooth Newton-Type Method for Nonlinear Semidefinite Programming
Author(s):
Li Chengjin; Sun Wenyu
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
Keywords:
non linear sem ide finite prog ramm ing;  nonsmoo th New ton- typem e thod;  k-tensor;  conve rgence
PACS:
O221.2
DOI:
-
Abstract:
A nonsm ooth New ton sm ethod fo r non linear sem idefin ite programm ingw as d iscussed by using 4- tenso r analys is. The locally quadra tic convergence fo r this nonsm oo th New ton s m ethod w as also established

References:

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[ 2] W o lkow icz H, Sa ig al R, Vandenbe rghe L, et a.l H andbook o f Sem idefinite Prog ramm ing [M ]. Boston-Dordrech t-London:K luw erAcadem ic Pub lishe rs, 2000.
[ 3] Q i L, SunW, W ang Y. Num er ica l mu ltilinea r a lgebra and its applica tions[ J]. Frontiers ofM athem atics in Ch ina, 2007( 2): 501-526.
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php? ser ia l- num ber= 200802- 167.
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[ 6] M a lick J, Sendov H S. C larke genera lized jacob ian o f the projection on to the cone o f positive sem idefin item atr ices[ J]. Set-Valued Analysis, 2006, 14: 273-293.
[ 7] Chan Z, Sun D. Constraint nondegene racy, strong regular ity and nonsingular ity in sem ide fin ite programm ing [ J]. S IAM JOpt, 2008, 19: 370-396.
[ 8] FlegelM L, K anzow C. A compar ison of three nondege racy conditions in sem ide finite prog ram s[ J/OL]. http: / /www. m athm atik. un-i wuerzburg. de /~ kanzow /paper /DegenPropP. pd.f
[ 9] Ca iX, SunW. A nonm onotone line search a lgo rithm for nonsm oothy d iscretem in im ax prob lem [ J]. Journa l o f Nan jing Normal University: Natural Science, 2003, 26( 4): 16-21.

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Last Update: 2013-05-05