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On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 516, 页码: 264-285
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
On preconditioned iteration methods for complex linear systems 期刊论文
JOURNAL OF ENGINEERING MATHEMATICS, 2015, 卷号: 93, 期号: 1, 页码: 41-60
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Complex symmetric linear system  Convergence theory  PMHSS iteration  Preconditioning  Real reformulation  Spectral properties  
ON THE SOLVABILITY CONDITION AND NUMERICAL ALGORITHM FOR THE PARAMETERIZED GENERALIZED INVERSE EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015, 卷号: 36, 期号: 2, 页码: 707-726
作者:  Dai, Hua;  Bai, Zhong-Zhi;  Wei, Ying
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
inverse eigenvalue problem  multiparameter eigenvalue problem  smooth LU decomposition  Newton's method  
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:110/0  |  提交时间:2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
On HSS-based iteration methods for weakly nonlinear systems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 2923-2936
作者:  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
System of weakly nonlinear equations  HSS iteration method  Inner/outer iteration scheme  Nonlinear iteration scheme  Local convergence  
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 卷号: 30, 期号: 2, 页码: 804-818
作者:  Bai, Zhong-Zhi;  Gao, Yong-Hua;  Lu, Lin-Zhang
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
nonsymmetric algebraic Riccati equation  fixed-point equations in vector form  splitting iteration method  monotone convergence  
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 10, 页码: 801-823
作者:  Deng, Yuan-Bel;  Bai, Zhong-Zhi;  Gao, Yong-Hua
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
matrix equations  Hermitian matrix  generalized inverse  iterative method  
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 8, 页码: 655-674
作者:  Bai, Zhong-Zhi;  Guo, Xiao-Xia;  Xu, Shu-Fang
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
non-symmetric algebraic Riccati equation  minimal non-negative solution  M-matrix  alternately linearized iteration  monotone convergence  
A modified damped Newton method for linear complementarity problems 期刊论文
NUMERICAL ALGORITHMS, 2006, 卷号: 42, 期号: 3-4, 页码: 207-228
作者:  Bai, Zhong-Zhi;  Dong, Jun-Liang
收藏  |  浏览/下载:80/0  |  提交时间:2018/07/30
linear complementarity problems  damped Newton method  inexact splitting method  nondegenerate matrix  H-matrix  
Directional secant method for nonlinear equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 卷号: 175, 期号: 2, 页码: 291-304
作者:  An, HB;  Bai, ZZ
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
nonlinear equations  directional Newton method  directional secant method  convergence