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Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings 期刊论文
APPLICABLE ANALYSIS, 2022, 卷号: 101, 期号: 1, 页码: 14-34
作者:  Rashid, M. H.;  Yuan, Ya-xiang
收藏  |  浏览/下载：98/0  |  提交时间：2022/04/29
Generalized equation  set-valued mappings  metrically regular mappings  restricted Newton-type method  semi-local convergence  
ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 2, 页码: 235-260
作者:  Bai, Zhong-Zhi;  Guo, Xue-Ping
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
Modified Bernoulli iteration methods for quadratic matrix equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 卷号: 25, 期号: 5, 页码: 498-511
作者:  Bai, Zhong-Zhi;  Gao, Yong-Hua
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
quadratic matrix equation  quadratic eigenvalue problem  solvent  Bernoulli's iteration  Newton's method  local 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：125/0  |  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  
On the convergence of parallel chaotic nonlinear multisplitting Newton-type methods 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 卷号: 80, 期号: 2, 页码: 317-334
作者:  Bai, ZZ
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
nonlinear system of equations  nonlinear multisplitting  parallel method  chaotic iteration  Newton method, local convergence