Edit Profile (opens in new tab) Xiang, Hua Co-Author Distance Author ID: xiang.hua Published as: Xiang, Hua Documents Indexed: 60 Publications since 2005, including 12 Additional arXiv Preprints Co-Authors: 50 Co-Authors with 58 Joint Publications 1,789 Co-Co-Authors all top 5 Co-Authors 2 single-authored 13 Wei, Yimin 7 Wu, Nianci 5 Zhang, Lin 4 Grigori, Laura 4 Nataf, Frédéric 4 Zou, Jun 3 Cui, Lingxia 3 Diao, Huaian 3 Shao, Changpeng 3 Xie, Pengpeng 3 Zuo, Qian 2 Demmel, James Weldon 2 Dolean, Victorita 2 Kang, Wenhua 2 Qi, Liqun 2 Shen, Hailun 2 Wang, Hefeng 2 Wu, Zongmin 2 Zhou, Weifeng 1 Cao, Yanhua 1 Chen, Lin 1 Chen, Zijiao 1 Fei, Shaoming 1 Gu, Ming 1 Guo, Cui 1 Havé, Pascal 1 He, Xiaokai 1 Ito, Kazufumi 1 Li-Jost, Xianqing 1 Liang, Ying 1 Liu, Bing 1 Masson, Roland 1 Ni, Baixiu 1 Shen, Yi 1 Shi, Enwei 1 Spillane, Nicole 1 Szydlarski, Mikolaj 1 Wakam, Desire Nuentsa 1 Wang, Yatian 1 Wu, Yu 1 Xu, Xuemin 1 Zhang, Denglin 1 Zhang, Haiming 1 Zhang, Shiyang 1 Zhang, Songling 1 Zhao, Ming-Jing 1 Zhao, Tao 1 Zhao, Zhen 1 Zhu, Chunhua 1 Zhuang, Xincun all top 5 Serials 6 Numerical Linear Algebra with Applications 5 Journal of Computational and Applied Mathematics 5 Quantum Information Processing 4 Linear Algebra and its Applications 3 Inverse Problems 3 SIAM Journal on Matrix Analysis and Applications 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Journal of Mathematics. Wuhan University 1 Applied Numerical Mathematics 1 Journal of Shanghai Jiaotong University (Chinese Edition) 1 Journal of Anhui Normal University. Natural Science 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Journal of University of Science and Technology of China 1 Communications in Mathematical Sciences 1 Journal of University of Science and Technology of Suzhou. Natural Science Edition 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Yunnan University of Nationalities. Natural Sciences Edition 1 Annalen der Physik all top 5 Fields 36 Numerical analysis (65-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 10 Quantum theory (81-XX) 6 Computer science (68-XX) 5 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 269 times in 203 Documents Cited by ▼ Year ▼ A coarse space construction based on local Dirichlet-to-Neumann maps. Zbl 1230.65134 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita; Spillane, Nicole 40 2011 Communication avoiding rank revealing QR factorization with column pivoting. Zbl 1327.65078 Demmel, James W.; Grigori, Laura; Gu, Ming; Xiang, Hua 23 2015 Regularization with randomized SVD for large-scale discrete inverse problems. Zbl 1286.65053 Xiang, Hua; Zou, Jun 20 2013 Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations. Zbl 1274.65120 Diao, Huaian; Xiang, Hua; Wei, Yimin 19 2012 Randomized algorithms for total least squares problems. Zbl 1524.65181 Xie, Pengpeng; Xiang, Hua; Wei, Yimin 17 2019 Randomized algorithms for large-scale inverse problems with general Tikhonov regularizations. Zbl 1327.65077 Xiang, Hua; Zou, Jun 15 2015 A contribution to perturbation analysis for total least squares problems. Zbl 1370.65020 Xie, Pengpeng; Xiang, Hua; Wei, Yimin 12 2017 A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps. Zbl 1206.35092 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita 12 2010 Structured mixed and componentwise condition numbers of some structured matrices. Zbl 1171.15005 Xiang, Hua; Wei, Yimin 10 2007 CALU: A communication optimal LU factorization algorithm. Zbl 1242.65089 Grigori, Laura; Demmel, James W.; Xiang, Hua 10 2011 Perturbation analysis of generalized saddle point systems. Zbl 1109.65043 Xiang, Hua; Wei, Yimin; Diao, Huaian 8 2006 On normwise structured backward errors for saddle point systems. Zbl 1185.65074 Xiang, Hua; Wei, Yimin 8 2007 Algebraic domain decomposition methods for highly heterogeneous problems. Zbl 1278.65189 Havé, Pascal; Masson, Roland; Nataf, Frédéric; Szydlarski, Mikolaj; Xiang, Hua; Zhao, Tao 8 2013 Projected randomized Kaczmarz methods. Zbl 1433.65070 Wu, Nianci; Xiang, Hua 8 2020 On perturbation bounds of Kronecker product linear systems and their level-2 condition numbers. Zbl 1076.65044 Xiang, Hua; Diao, Huaian; Wei, Yimin 6 2005 Condition numbers for linear systems and Kronecker product linear systems with multiple right-hand sides. Zbl 1134.15004 Zhang, Haiming; Xiang, Hua; Wei, Yimin 6 2007 \(M\)-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012 Qi, Liqun; Wei, Yimin; Xiang, Hua 6 2018 A variant of Horn’s problem and the derivative principle. Zbl 1430.15009 Zhang, Lin; Xiang, Hua 4 2020 Quantum algorithm for total least squares data fitting. Zbl 1476.81026 Wang, Hefeng; Xiang, Hua 4 2019 Level-2 condition numbers for least-squares solution of Kronecker product linear systems. Zbl 1146.65033 Kang, Wenhua; Xiang, Hua 3 2008 Kronecker product approximation preconditioners for convection-diffusion model problems. Zbl 1240.65102 Xiang, Hua; Grigori, Laura 3 2010 A note on the componentwise perturbation bounds of matrix inverse and linear systems. Zbl 1083.65048 Wei, Yimin; Cao, Yanhua; Xiang, Hua 3 2005 Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution. Zbl 1110.15008 Kang, Wenhua; Xiang, Hua 3 2006 Semiconvergence analysis of the randomized row iterative method and its extended variants. Zbl 1474.65102 Wu, Nianci; Xiang, Hua 3 2021 Randomized QLP decomposition. Zbl 1439.65060 Wu, Nianci; Xiang, Hua 3 2020 Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. Zbl 1280.65031 Xiang, Hua; Nataf, Frédéric 3 2014 Uzawa algorithms with variable relaxation for nonsymmetric generalized saddle point problems. Zbl 1374.65044 Shen, Hailun; Xiang, Hua 2 2015 An extended row and column method for solving linear systems on a quantum computer. Zbl 07420945 Zuo, Qian; Shao, Changpeng; Wu, Nianci; Xiang, Hua 2 2021 On the generally randomized extended Gauss-Seidel method. Zbl 1484.65064 Wu, Nianci; Xiang, Hua 2 2022 Quantum regularized least squares solver with parameter estimate. Zbl 1508.81529 Shao, Changpeng; Xiang, Hua 2 2020 Average entropy of a subsystem over a global unitary orbit of a mixed bipartite state. Zbl 1373.81126 Zhang, Lin; Xiang, Hua 1 2017 A note on the upper bound in SA AMG convergence analysis. Zbl 1340.65297 Guo, Cui; Xiang, Hua 1 2014 Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell’s equations. Zbl 1456.65018 Liang, Ying; Xiang, Hua; Zhang, Shiyang; Zou, Jun 1 2021 Convergence analyses based on frequency decomposition for the randomized row iterative method. Zbl 1481.65053 Wu, Nian-Ci; Xiang, Hua 1 2021 On the generally randomized extended Gauss-Seidel method. Zbl 1484.65064 Wu, Nianci; Xiang, Hua 2 2022 Semiconvergence analysis of the randomized row iterative method and its extended variants. Zbl 1474.65102 Wu, Nianci; Xiang, Hua 3 2021 An extended row and column method for solving linear systems on a quantum computer. Zbl 07420945 Zuo, Qian; Shao, Changpeng; Wu, Nianci; Xiang, Hua 2 2021 Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell’s equations. Zbl 1456.65018 Liang, Ying; Xiang, Hua; Zhang, Shiyang; Zou, Jun 1 2021 Convergence analyses based on frequency decomposition for the randomized row iterative method. Zbl 1481.65053 Wu, Nian-Ci; Xiang, Hua 1 2021 Projected randomized Kaczmarz methods. Zbl 1433.65070 Wu, Nianci; Xiang, Hua 8 2020 A variant of Horn’s problem and the derivative principle. Zbl 1430.15009 Zhang, Lin; Xiang, Hua 4 2020 Randomized QLP decomposition. Zbl 1439.65060 Wu, Nianci; Xiang, Hua 3 2020 Quantum regularized least squares solver with parameter estimate. Zbl 1508.81529 Shao, Changpeng; Xiang, Hua 2 2020 Randomized algorithms for total least squares problems. Zbl 1524.65181 Xie, Pengpeng; Xiang, Hua; Wei, Yimin 17 2019 Quantum algorithm for total least squares data fitting. Zbl 1476.81026 Wang, Hefeng; Xiang, Hua 4 2019 \(M\)-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012 Qi, Liqun; Wei, Yimin; Xiang, Hua 6 2018 A contribution to perturbation analysis for total least squares problems. Zbl 1370.65020 Xie, Pengpeng; Xiang, Hua; Wei, Yimin 12 2017 Average entropy of a subsystem over a global unitary orbit of a mixed bipartite state. Zbl 1373.81126 Zhang, Lin; Xiang, Hua 1 2017 Communication avoiding rank revealing QR factorization with column pivoting. Zbl 1327.65078 Demmel, James W.; Grigori, Laura; Gu, Ming; Xiang, Hua 23 2015 Randomized algorithms for large-scale inverse problems with general Tikhonov regularizations. Zbl 1327.65077 Xiang, Hua; Zou, Jun 15 2015 Uzawa algorithms with variable relaxation for nonsymmetric generalized saddle point problems. Zbl 1374.65044 Shen, Hailun; Xiang, Hua 2 2015 Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. Zbl 1280.65031 Xiang, Hua; Nataf, Frédéric 3 2014 A note on the upper bound in SA AMG convergence analysis. Zbl 1340.65297 Guo, Cui; Xiang, Hua 1 2014 Regularization with randomized SVD for large-scale discrete inverse problems. Zbl 1286.65053 Xiang, Hua; Zou, Jun 20 2013 Algebraic domain decomposition methods for highly heterogeneous problems. Zbl 1278.65189 Havé, Pascal; Masson, Roland; Nataf, Frédéric; Szydlarski, Mikolaj; Xiang, Hua; Zhao, Tao 8 2013 Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations. Zbl 1274.65120 Diao, Huaian; Xiang, Hua; Wei, Yimin 19 2012 A coarse space construction based on local Dirichlet-to-Neumann maps. Zbl 1230.65134 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita; Spillane, Nicole 40 2011 CALU: A communication optimal LU factorization algorithm. Zbl 1242.65089 Grigori, Laura; Demmel, James W.; Xiang, Hua 10 2011 A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps. Zbl 1206.35092 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita 12 2010 Kronecker product approximation preconditioners for convection-diffusion model problems. Zbl 1240.65102 Xiang, Hua; Grigori, Laura 3 2010 Level-2 condition numbers for least-squares solution of Kronecker product linear systems. Zbl 1146.65033 Kang, Wenhua; Xiang, Hua 3 2008 Structured mixed and componentwise condition numbers of some structured matrices. Zbl 1171.15005 Xiang, Hua; Wei, Yimin 10 2007 On normwise structured backward errors for saddle point systems. Zbl 1185.65074 Xiang, Hua; Wei, Yimin 8 2007 Condition numbers for linear systems and Kronecker product linear systems with multiple right-hand sides. Zbl 1134.15004 Zhang, Haiming; Xiang, Hua; Wei, Yimin 6 2007 Perturbation analysis of generalized saddle point systems. Zbl 1109.65043 Xiang, Hua; Wei, Yimin; Diao, Huaian 8 2006 Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution. Zbl 1110.15008 Kang, Wenhua; Xiang, Hua 3 2006 On perturbation bounds of Kronecker product linear systems and their level-2 condition numbers. Zbl 1076.65044 Xiang, Hua; Diao, Huaian; Wei, Yimin 6 2005 A note on the componentwise perturbation bounds of matrix inverse and linear systems. Zbl 1083.65048 Wei, Yimin; Cao, Yanhua; Xiang, Hua 3 2005 all cited Publications top 5 cited Publications all top 5 Cited by 359 Authors 26 Wei, Yimin 12 Xiang, Hua 11 Grigori, Laura 10 Diao, Huaian 9 Li, Hanyu 9 Nataf, Frédéric 8 Dolean, Victorita 7 Liu, Qiaohua 6 Spillane, Nicole 5 Meng, Lingsheng 5 Samar, Mahvish 4 Jolivet, Pierre 4 Scheichl, Robert 4 Wang, Shaoxin 4 Wu, Nianci 4 Zheng, Bing 3 Cui, Lingxia 3 Daas, Hussam Al 3 Efendiev, Yalchin R. 3 Huang, Guang-Xin 3 Jia, Zhigang 3 Li, Chaoqian 3 Li, Wen 3 Qiao, Sanzheng 3 Shao, Changpeng 3 Xie, Pengpeng 3 Yin, Feng 3 Zhang, Liping 2 Ayala, Alan 2 Bai, Xianglan 2 Bai, Zhengjian 2 Berenguer, Laurent 2 Besse, Christophe 2 Bootland, Niall 2 Chen, Xiaoping 2 Chen, Zhen 2 Chung, Tsz Shun Eric 2 Claeys, Xavier 2 Conen, Lea 2 Demmel, James Weldon 2 Dongarra, Jack J. 2 Du, Kui 2 Duersch, Jed A. 2 Farooq, Aamir 2 Fei, Shaoming 2 Forrester, Peter J. 2 Galvis, Juan 2 Han, Feiyang 2 Hauret, Patrice 2 He, Yinnian 2 Jamelot, Erell 2 Katsikis, Vasilios N. 2 King-wah Chu, Eric 2 Krause, Rolf H. 2 Ling, Sitao 2 Liu, Landong 2 Lv, Peng 2 Ma, Haifeng 2 Marcinkowski, Leszek 2 Martinsson, Per-Gunnar 2 Miao, Yun 2 Mo, Changxin 2 Pechstein, Clemens 2 Rahman, Talal 2 Rees, Tyrone 2 Reichel, Lothar 2 Ren, Huan 2 Rixen, Daniel J. 2 Roux, François-Xavier 2 Shi, Xinghua 2 Stanimirović, Predrag S. 2 Sun, Xiaohui 2 Tournier, Pierre-Henri 2 Tromeur-Dervout, Damien 2 Wang, Weiguo 2 Wang, Xuezhong 2 Wei, Musheng 2 Wei, Wei 2 Wu, Zongmin 2 Xing, Feng 2 Yang, Hu 2 Zhang, Fengxia 2 Zhang, Jiyuan 2 Zhang, Lin 2 Zhang, Qian 2 Zhang, Yanjun 2 Zhao, Tao 2 Zuo, Qian 1 Abdel Naby, Mokhtar A. 1 Abdelfattah, Ahmad 1 Agullo, Emmanuel 1 Ahmed, Syed Ejaz 1 Ali, Ilyas 1 Amestoy, Patrick R. 1 An, Congpei 1 Anzt, Hartwig 1 Arbogast, Todd 1 Avendaño-Garrido, Martha Lorena 1 Aydin, Dursun 1 Badia, Santiago ...and 259 more Authors all top 5 Cited in 65 Serials 20 SIAM Journal on Scientific Computing 17 Journal of Computational and Applied Mathematics 10 SIAM Journal on Matrix Analysis and Applications 8 Linear and Multilinear Algebra 8 Applied Mathematics and Computation 8 Journal of Scientific Computing 8 Numerical Algorithms 6 Calcolo 6 International Journal of Computer Mathematics 6 Computational and Applied Mathematics 5 Inverse Problems 5 Linear Algebra and its Applications 5 Quantum Information Processing 4 Applied Numerical Mathematics 4 Numerical Linear Algebra with Applications 4 Multiscale Modeling & Simulation 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Advances in Computational Mathematics 3 Journal of Applied Mathematics and Computing 3 Acta Numerica 3 Journal of Physics A: Mathematical and Theoretical 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Numerische Mathematik 2 Applied Mathematics Letters 2 Filomat 2 ETNA. Electronic Transactions on Numerical Analysis 2 GAMM-Mitteilungen 2 Science China. Mathematics 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Neural Networks 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 SIAM Review 1 Engineering Analysis with Boundary Elements 1 ELA. The Electronic Journal of Linear Algebra 1 Taiwanese Journal of Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Numerical Mathematics 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 Numerical Mathematics: Theory, Methods and Applications 1 Algorithms 1 MathematicS In Action 1 Annals of Functional Analysis 1 Random Matrices: Theory and Applications 1 Numerical Algebra, Control and Optimization 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 Tunisian Journal of Mathematics 1 Communications on Applied Mathematics and Computation 1 Probability and Mathematical Physics all top 5 Cited in 27 Fields 173 Numerical analysis (65-XX) 75 Linear and multilinear algebra; matrix theory (15-XX) 20 Computer science (68-XX) 18 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 11 Quantum theory (81-XX) 7 Operations research, mathematical programming (90-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 4 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year