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ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
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:115/0  |  提交时间:2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 2, 页码: 240-249
作者:  Yin, Junfeng;  Bai, Zhongzhi
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
block two-by-two linear system  saddle point problem  restrictively preconditioned conjugate gradient method  normal-residual equation  incomplete orthogonal factorization  
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:109/0  |  提交时间:2018/07/30
quadratic matrix equation  quadratic eigenvalue problem  solvent  Bernoulli's iteration  Newton's method  local convergence  
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2005, 卷号: 23, 期号: 3, 页码: 305-320
作者:  Guo, XX;  Bai, ZZ
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
nonsymmetric algebraic Riccati equation  minimal nonnegative solution  matrix sign function  quadratic matrix equation  
Least-squares solution of AX B = D over symmetric positive semidefinite matrices X 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 2, 页码: 175-182
作者:  Liao, AP;  Bai, ZZ
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
least-squares solution  matrix equation  symmetric positive semidefinite matrix  generalized singular value decomposition  
Experimental study of the asynchronous multisplitting relaxation methods for the linear complementarity problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 卷号: 20, 期号: 6, 页码: 561-574
作者:  Bai, ZZ
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
linear complementarity problem  matrix multisplitting  asynchronous iterative methods  numerical experiment  
A class of new parallel hybrid algebraic multilevel iterations 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 卷号: 19, 期号: 6, 页码: 651-672
作者:  Bai, ZZ
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
elliptic boundary value problem  system of linear equations  symmetric positive definite matrix  multilevel iteration  parallel method  
On the convergence of asynchronous nested matrix multisplitting methods for linear systems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 卷号: 17, 期号: 6, 页码: 575-588
作者:  Bai, ZZ;  Wang, DR;  Evans, DJ
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
solution of linear systems  asynchronous parallel iteration  matrix multisplitting  relaxation method  convergence  
A new generalized asynchronous parallel multisplitting iteration method 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 卷号: 17, 期号: 5, 页码: 449-456
作者:  Bai, ZZ
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
systems of linear and nonlinear equations  asynchronous multisplitting iteration  relaxed method  convergence theory