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A trust region method for optimization problem with singular solutions 期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2007, 卷号: 56, 期号: 3, 页码: 379-394
作者:  Zhang, Juliang;  Wu, Liangyun;  Zhang, Xiangsun
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
nonlinear convex optimization  trust region method  local error bound  superlinear convergence  nonsingularity  
Convergence analysis of adaptive trust region methods 期刊论文
RAIRO-OPERATIONS RESEARCH, 2007, 卷号: 41, 期号: 1, 页码: 105-121
作者:  Shi, Zhen-Jun;  Zhang, Xiang-Sun;  Shen, Jie
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
adaptive trust region method  unconstrained optimization  global convergence  super-linear convergence  
Superlinearly convergent trust-region method without the assumption of positive-definite Hessian 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 卷号: 129, 期号: 1, 页码: 201-218
作者:  Zhang, J. L.;  Wang, Y.;  Zhang, X. S.
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
trust-region methods  trust-region radius  global convergence  superlinear convergence  local error bound  
A nonmonotone trust-region algorithm with nonmonotone penalty parameters for constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 卷号: 172, 期号: 1, 页码: 7-39
作者:  Chen, ZW;  Zhang, XS
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
trust-region method  nonmonotone  constrained optimization  
A nonmonotone adaptive trust region method and its convergence 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 卷号: 45, 期号: 10-11, 页码: 1469-1477
作者:  Zhang, JL;  Zhang, XS
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
trust region method  unconstrained optimization  global convergence  superlinear convergence  nonmonotone linesearch technique  
A trust-region and affine scaling algorithm for linearly constrained optimization 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 卷号: 45, 期号: 11, 页码: 1390-1397
作者:  Chen, ZW;  Zhang, XS
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
linear constraint  trust-region  affine scaling  interior point method  
An adaptive trust region method and its convergence 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 卷号: 45, 期号: 5, 页码: 620-631
作者:  Zhang, XS;  Zhang, JL;  Liao, LZ
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
trust region method  unconstrained optimization  global convergence  superlinear convergence