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SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 638-660
作者:  Huang, Meng;  Xu, Zhiqiang
收藏  |  浏览/下载：142/0  |  提交时间：2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 6, 页码: 843-865
作者:  Wang, Zhouhong;  Dai, Yuhong;  Xu, Fengmin
收藏  |  浏览/下载：151/0  |  提交时间：2020/05/24
Analytic center  Ill-conditioning  Unboundedness  Primal-dual interior point algorithm  Convergence  Polynomial complexity  
SNIG PROPERTY OF MATRIX LOW-RANK FACTORIZATION MODEL 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 374-390
作者:  Wang, Hong;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-xiang
收藏  |  浏览/下载：148/0  |  提交时间：2019/03/05
Low rank factorization  Nonconvex optimization  Second-order optimality condition  Global minimizer  
THE PERFORMANCE OF ORTHOGONAL MULTI-MATCHING PURSUIT UNDER THE RESTRICTED ISOMETRY PROPERTY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2015, 卷号: 33, 期号: 5, 页码: 495-516
作者:  Xu, Zhiqiang
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Sparse signals  Compressed sensing  Greedy algorithms  
BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 卷号: 30, 期号: 5, 页码: 533-543
作者:  Ren ZhiRu
收藏  |  浏览/下载：103/0  |  提交时间：2021/01/14
FAST ITERATIVE METHODS  DIFFERENTIAL-EQUATIONS  SYSTEMS  Toeplitz matrix  Banded Toeplitz preconditioner  Generating function  Sinc method  Eigenvalue bounds  
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  
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：106/0  |  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  
Error analysis for a fast numerical method to a boundary integral equation of the first kind 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 1, 页码: 56-68
作者:  Ma, Jingtang;  Tang, Tao
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
boundary integral equation  collocation method  graded mesh  
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：104/0  |  提交时间：2018/07/30
quadratic matrix equation  quadratic eigenvalue problem  solvent  Bernoulli's iteration  Newton's method  local convergence  
On Hermitian positive definite solution of nonlinear matrix equation X plus A* X-2 A = Q 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2005, 卷号: 23, 期号: 5, 页码: 513-526
作者:  Guo, XX
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
nonlinear matrix equation  Hermitian positive definite solution  sensitivity analysis  error bound