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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:130/0  |  提交时间:2018/07/30
nonlinear convex optimization  trust region method  local error bound  superlinear convergence  nonsingularity  
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:158/0  |  提交时间:2018/07/30
trust-region methods  trust-region radius  global convergence  superlinear convergence  local error bound  
A new trust region method for nonlinear equations 期刊论文
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2003, 卷号: 58, 期号: 2, 页码: 283-298
作者:  Zhang, JL;  Wang, Y
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
nonlinear equation system  trust region method  local error bound  superlinear convergence  
Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a P-0 function 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2003, 卷号: 117, 期号: 1, 页码: 39-68
作者:  Huang, ZH;  Han, J;  Chen, Z
收藏  |  浏览/下载:154/0  |  提交时间:2018/07/30
nonlinear complementarity problems  boundedness of iteration sequence  predictor-corrector smoothing Newton method  global linear convergence  local superlinear convergence  
New sequential quadratic programming algorithm with consistent subproblems 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1997, 卷号: 40, 期号: 2, 页码: 137-150
作者:  He, GP;  Gao, ZY;  Lai, YL
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
SQP algorithm  consistence of quadratic programming subproblem  global convergence  local superlinear convergence