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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:112/0  |  提交时间:2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 325-341
作者:  Gao, Yong-Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
non-symmetric algebraic Riccati equation  M-matrix  Newton iteration method  doubling iteration scheme  inexact iteration  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  
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  
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:108/0  |  提交时间:2018/07/30
nonsymmetric algebraic Riccati equation  minimal nonnegative solution  matrix sign function  quadratic matrix equation