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Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts 期刊论文
BIT NUMERICAL MATHEMATICS, 2004, 卷号: 44, 期号: 2, 页码: 363-386
作者:  Wang, L;  Bai, ZZ
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
Hermitian and skew-Hermitian splitting  triangular splitting  splitting iteration method  Krylov subspace method  convergence theory  
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part 期刊论文
NUMERICAL ALGORITHMS, 2004, 卷号: 35, 期号: 2-4, 页码: 351-372
作者:  Axelsson, O;  Bai, ZZ;  Qiu, SX
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
system of linear equations  inner/outer iteration  conjugate gradient method  Krylov subspace iterations  incomplete factorization  relaxation iteration  convergence theory  
On restart procedures for the conjugate gradient method 期刊论文
NUMERICAL ALGORITHMS, 2004, 卷号: 35, 期号: 2-4, 页码: 249-260
作者:  Dai, YH;  Liao, LZ;  Li, D
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
unconstrained optimization  conjugate gradient method  BFGS updating formula  restart  global convergence  
Modified two-point stepsize gradient methods for unconstrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2002, 卷号: 22, 期号: 1, 页码: 103-109
作者:  Dai, YH;  Yuan, JY;  Yuan, YX
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
unconstrained optimization  steepest descent method  two-point stepsize gradient method  nonmonotone line search  
On the nonmonotone line search 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 卷号: 112, 期号: 2, 页码: 315-330
作者:  Dai, YH
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
unconstrained optimization  uniform convexity  Armijo line search  nonmonotone line search  R-linear convergence  
Adaptive two-point stepsize gradient algorithm 期刊论文
NUMERICAL ALGORITHMS, 2001, 卷号: 27, 期号: 4, 页码: 377-385
作者:  Dai, YH;  Zhang, HC
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
unconstrained optimization  steepest descent method  two-point stepsize gradient method  nonmonotone line search  
A conic trust-region method for nonlinearly constrained optimization 期刊论文
ANNALS OF OPERATIONS RESEARCH, 2001, 卷号: 103, 页码: 175-191
作者:  Sun, WY;  Yuan, YX
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
trust-region method  conic model  constrained optimization  nonlinear programming  
An efficient hybrid conjugate gradient method for unconstrained optimization 期刊论文
ANNALS OF OPERATIONS RESEARCH, 2001, 卷号: 103, 页码: 33-47
作者:  Dai, YH;  Yuan, Y
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
unconstrained optimization  conjugate gradient method  line search  descent property  global convergence  
Modified block SSOR preconditioners for symmetric positive definite linear systems 期刊论文
ANNALS OF OPERATIONS RESEARCH, 2001, 卷号: 103, 页码: 263-282
作者:  Bai, ZZ
收藏  |  浏览/下载:125/0  |  提交时间:2018/07/30
symmetric positive definite linear system  block SSOR iteration  preconditioner  hierarchical basis discretization