Edit Profile (opens in new tab) Liu, Xinguo Co-Author Distance Author ID: liu.xinguo Published as: Liu, Xinguo; Liu, Xin-Guo; Liu, Xin Guo; Liu, Xin-guo more...less Documents Indexed: 98 Publications since 1987 Reviewing Activity: 298 Reviews Co-Authors: 51 Co-Authors with 64 Joint Publications 1,552 Co-Co-Authors all top 5 Co-Authors 33 single-authored 12 Wang, Weiguo 7 Wang, Xuefeng 3 Bao, Hujun 3 Wei, Yimin 3 Zhao, Na 2 Chen, Chaoxian 2 Gao, Hua 2 Guo, Xiaoxia 2 Li, Xinxiu 2 Li, Zhankuan 2 Ma, Hongyu 2 Peng, Qunsheng 2 Wang, Yuye 2 Xu, Lianhua 2 Yang, Yuxia 2 You, Jianping 1 Bai, Zhengjian 1 Bai, Zhongzhi 1 Cheng, Xuan 1 Guo, Hongbo 1 Heng, Pheng-Ann 1 Huang, Jin 1 Li, Chi-Kwong 1 Li, Ma 1 Li, Meiran 1 Li, Xiaoping 1 Li, Yongkun 1 Lin, Jinpeng 1 Lin, Xuezhen 1 Liu, Xinggui 1 Luan, Xuguo 1 Niu, Qihua 1 Qian, Zhenyu 1 Qin, Xiaowei 1 Sheng, Hanfang 1 Shum, Heung-Yeung 1 Tu, Duo 1 Wang, Hui 1 Wang, Zexi 1 Wang, Zhanliang 1 Wong, Tien-Tsin 1 Wu, Zizhao 1 Xiong, Xiwen 1 Xu, Xingzhong 1 Xu, Yage 1 Yao, Zengshan 1 Zeng, Ming 1 Zhang, Hongwei 1 Zhang, Jianwen 1 Zhao, Jianwei 1 Zhuang, Zhanpeng all top 5 Serials 19 Mathematica Numerica Sinica 12 Numerical Mathematics 11 Journal of Ocean University of Qingdao 10 Periodical of Ocean University of China 8 Journal of Computational Mathematics 4 Applied Mathematics and Computation 4 Acta Mathematicae Applicatae Sinica 4 Numerical Linear Algebra with Applications 3 Numerical Mathematics 2 Chinese Annals of Mathematics. Series A 2 Computer Aided Geometric Design 2 Linear Algebra and its Applications 1 Linear and Multilinear Algebra 1 Numerische Mathematik 1 Journal of Sichuan University. Natural Science Edition 1 Journal of Shandong College of Oceanology 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Computer Graphics Forum 1 Journal on Numerical Methods and Computer Applications 1 Chinese Journal of Numerical Mathematics and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Study 1 Graphical Models 1 Journal of Yunnan University. Natural Sciences Edition 1 Frontiers of Mathematics in China 1 Communication on Applied Mathematics and Computation 1 Numerical Algebra, Control and Optimization all top 5 Fields 77 Numerical analysis (65-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 7 Operations research, mathematical programming (90-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 138 times in 135 Documents Cited by ▼ Year ▼ On the positive definite solutions of the matrix equations \(X^{s}\pm A^{\text T} X^{-t} A=I_{n}\). Zbl 1025.15018 Liu, Xin-Guo; Gao, Hua 47 2003 On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015 Bai, Zhong-Zhi; Liu, Xin-Guo 28 2013 A note on the backward errors for Hermite eigenvalue problems. Zbl 1072.65055 Liu, Xinguo; Wang, Zexi 8 2005 Structured backward errors for structured KKT systems. Zbl 1140.65322 Li, Xinxiu; Liu, Xinguo 6 2004 Extension of the total least square problem using general unitarily invariant norms. Zbl 1112.65037 Li, Chi-Kwong; Liu, Xin-Guo; Wang, Xue-Feng 5 2007 On the Rayleigh quotient matrix. Zbl 0850.15008 Liu, Xinguo; Xu, Yage 5 1990 Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse. Zbl 1141.15006 Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min 5 2008 Maximization of matrix trace function of product Stiefel manifolds. Zbl 1327.62371 Liu, Xin-Guo; Wang, Xue-Feng; Wang, Wei-Guo 5 2015 On the solvability and perturbation analysis for total least squares problem. Zbl 0858.65042 Liu, Xinguo 4 1996 On optimal backward perturbation analysis for the linear system with block cyclic coefficient matrix. Zbl 1064.15003 Liu, Xinguo; Guo, Xiaoxia 3 2003 A novel volume constrained smoothing method for meshes. Zbl 1038.68134 Liu, Xinguo; Bao, Hujun; Shum, Heung-Yeung; Peng, Qunsheng 3 2002 Efficient mesh deformation using tetrahedron control mesh. Zbl 1205.65087 Huang, Jin; Chen, Lu; Liu, Xinguo; Bao, Hujun 2 2009 A note on the backward errors for inverse eigenvalue problems. Zbl 1033.65018 Liu, Xinguo; Bai, Zhengjian 2 2003 Linearization estimates of the backward errors for least squares problems. Zbl 1289.65092 Liu, Xin-Guo; Zhao, Na 2 2012 A note on the approximation of two-sided Rayleigh quotient to eigenvalues. Zbl 1121.65039 Liu, Xin-Guo; Li, Ma 1 2007 The perturbation bounds for latent values of a class of matrix polynomials. Zbl 0964.15512 Liu, Xinguo 1 1989 A generalization of the Bott-Duffin inverse and its applications. Zbl 1224.15009 Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min 1 2009 Constrained fairing for meshes. Zbl 0984.68563 Liu, Xinguo; Bao, Hujun; Heng, Pheng Ann; Wong, Tien Tsin; Peng, Qunsheng 1 2001 On the convergence of the P-SOR method for solving maximal correlation problems. Zbl 1249.65133 Qin, Xiaowei; Liu, Xinguo; Zhao, Na 1 2011 On the simple iteration for solving the matrix equation \(X+A^HX^{-1}A=I\). Zbl 0929.65023 Liu, Xinguo 1 1998 On the deflation with computing the eigenvalues of a matrix. Zbl 0927.65054 Liu, Xinguo 1 1997 A note on backward errors for Toeplitz systems. Zbl 1199.65143 Liu, Xinguo; Chen, Chaoxian 1 2007 On a class of alternating coefficient matrices quadratic eigenvalue problem. Zbl 1068.65049 Liu, Xinguo; Wang, Weiguo 1 2004 On Rayleigh quotient theory for the eigenproblem and the singular value problem. Zbl 0796.65052 Liu, Xinguo 1 1992 Sensitivity analysis of some matrix decompositions. Zbl 1495.65056 Liu, Xin Guo 1 2001 Comparing condition numbers with structured condition numbers for KKT systems. Zbl 1495.65058 Wang, Xue Feng; Liu, Xin Guo 1 2006 A multigrid method for the maximal correlation problem. Zbl 1257.62068 Liu, Xin-Guo; Wang, Kun 1 2012 Maximization of matrix trace function of product Stiefel manifolds. Zbl 1327.62371 Liu, Xin-Guo; Wang, Xue-Feng; Wang, Wei-Guo 5 2015 On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015 Bai, Zhong-Zhi; Liu, Xin-Guo 28 2013 Linearization estimates of the backward errors for least squares problems. Zbl 1289.65092 Liu, Xin-Guo; Zhao, Na 2 2012 A multigrid method for the maximal correlation problem. Zbl 1257.62068 Liu, Xin-Guo; Wang, Kun 1 2012 On the convergence of the P-SOR method for solving maximal correlation problems. Zbl 1249.65133 Qin, Xiaowei; Liu, Xinguo; Zhao, Na 1 2011 Efficient mesh deformation using tetrahedron control mesh. Zbl 1205.65087 Huang, Jin; Chen, Lu; Liu, Xinguo; Bao, Hujun 2 2009 A generalization of the Bott-Duffin inverse and its applications. Zbl 1224.15009 Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min 1 2009 Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse. Zbl 1141.15006 Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min 5 2008 Extension of the total least square problem using general unitarily invariant norms. Zbl 1112.65037 Li, Chi-Kwong; Liu, Xin-Guo; Wang, Xue-Feng 5 2007 A note on the approximation of two-sided Rayleigh quotient to eigenvalues. Zbl 1121.65039 Liu, Xin-Guo; Li, Ma 1 2007 A note on backward errors for Toeplitz systems. Zbl 1199.65143 Liu, Xinguo; Chen, Chaoxian 1 2007 Comparing condition numbers with structured condition numbers for KKT systems. Zbl 1495.65058 Wang, Xue Feng; Liu, Xin Guo 1 2006 A note on the backward errors for Hermite eigenvalue problems. Zbl 1072.65055 Liu, Xinguo; Wang, Zexi 8 2005 Structured backward errors for structured KKT systems. Zbl 1140.65322 Li, Xinxiu; Liu, Xinguo 6 2004 On a class of alternating coefficient matrices quadratic eigenvalue problem. Zbl 1068.65049 Liu, Xinguo; Wang, Weiguo 1 2004 On the positive definite solutions of the matrix equations \(X^{s}\pm A^{\text T} X^{-t} A=I_{n}\). Zbl 1025.15018 Liu, Xin-Guo; Gao, Hua 47 2003 On optimal backward perturbation analysis for the linear system with block cyclic coefficient matrix. Zbl 1064.15003 Liu, Xinguo; Guo, Xiaoxia 3 2003 A note on the backward errors for inverse eigenvalue problems. Zbl 1033.65018 Liu, Xinguo; Bai, Zhengjian 2 2003 A novel volume constrained smoothing method for meshes. Zbl 1038.68134 Liu, Xinguo; Bao, Hujun; Shum, Heung-Yeung; Peng, Qunsheng 3 2002 Constrained fairing for meshes. Zbl 0984.68563 Liu, Xinguo; Bao, Hujun; Heng, Pheng Ann; Wong, Tien Tsin; Peng, Qunsheng 1 2001 Sensitivity analysis of some matrix decompositions. Zbl 1495.65056 Liu, Xin Guo 1 2001 On the simple iteration for solving the matrix equation \(X+A^HX^{-1}A=I\). Zbl 0929.65023 Liu, Xinguo 1 1998 On the deflation with computing the eigenvalues of a matrix. Zbl 0927.65054 Liu, Xinguo 1 1997 On the solvability and perturbation analysis for total least squares problem. Zbl 0858.65042 Liu, Xinguo 4 1996 On Rayleigh quotient theory for the eigenproblem and the singular value problem. Zbl 0796.65052 Liu, Xinguo 1 1992 On the Rayleigh quotient matrix. Zbl 0850.15008 Liu, Xinguo; Xu, Yage 5 1990 The perturbation bounds for latent values of a class of matrix polynomials. Zbl 0964.15512 Liu, Xinguo 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 192 Authors 9 Li, Rencang 9 Wu, Wenting 8 Duan, Xuefeng 8 Liao, Anping 6 Bai, Zhongzhi 6 Li, Jing 5 Wei, Yimin 4 Lim, Yongdo 4 Yin, Junfeng 4 Zhang, Lei-Hong 4 Zhang, Yuhai 3 Chen, Jiaqi 3 Chen, Xiaoshan 3 Hnětynková, Iveta 3 Huang, Zhengda 3 Jia, Zhigang 3 Jiang, Zhaolin 3 Kim, Hyunmin 3 Li, Wen 3 Liu, Sanyang 3 Meng, Lingsheng 3 Plešinger, Martin 3 Stanimirović, Predrag S. 3 Wang, Li 3 Wei, Musheng 3 Xiang, Hua 3 Yin, Xiaoyan 3 Žáková, Jana 2 Al-Dubiban, Asmaa M. 2 Alam, Rafikul 2 Benahmed, Boubakeur 2 Berzig, Maher 2 Chen, Guoliang 2 Diao, Huaian 2 Du, Yishu 2 El-Shazly, Naglaa M. 2 Hayami, Ken 2 Jahangoshahi, Mohammad 2 Li, Bingyu 2 Ling, Sitao 2 Liu, Xinguo 2 Liu, Yong 2 Ma, Haifeng 2 Ma, Wei 2 Maldonado, Daniel Adrian 2 Meng, Jie 2 Morikuni, Keiichi 2 Mouhadjer, Lotfi 2 Patel, Vivak 2 Qiao, Sanzheng 2 Samet, Bessem 2 Shen, Chungen 2 Soleymani, Fazlollah 2 Tang, Xia 2 Wang, Minghui 2 Wang, Weiguo 2 Wu, Guoxing 2 Yao, Guozhu 2 Zhao, Meixiang 2 Zheng, Bing 2 Zheng, Ning 2 Zhou, Duanmei 1 Adhikari, Bibhas 1 Brezinski, Claude 1 Cai, Jing 1 Calandra, Henri 1 Cao, Zhihao 1 Chen, Wenzhi 1 Chen, Xiaojun 1 Chen, Xueqi 1 Chen, Zhencheng 1 Cheng, Fuhua 1 Choi, Yongho 1 Cuminato, José Alberto 1 Dax, Achiya 1 Deng, Bailin 1 Deng, Zheng-Jie 1 Dopico, Froilán M. 1 El-Paoumy, Mahdy Shibl 1 Erfanifar, Raziyeh 1 Fang, Liang 1 Fasino, Dario 1 Fazzi, Antonio 1 Feng, Xinlong 1 Ferreira, Carla 1 Gao, Hua 1 George, Reny 1 Ghosh, Arnab 1 Gratton, Serge 1 Gu, Chuanqing 1 Gu, Hejin 1 Guo, Xueping 1 Hajarian, Masoud 1 He, Yuwen 1 Hu, Shanrui 1 Ivanov, Ivan Ganchev 1 Jeong, Darea 1 Jia, Zhongxiao 1 Jiang, Erxiong 1 Jiang, Long ...and 92 more Authors all top 5 Cited in 47 Serials 23 Linear Algebra and its Applications 10 Applied Mathematics and Computation 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Matrix Analysis and Applications 7 Linear and Multilinear Algebra 6 Numerical Algorithms 5 Abstract and Applied Analysis 4 Numerische Mathematik 4 SIAM Journal on Scientific Computing 3 Calcolo 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Advances in Computational Mathematics 3 Journal of Applied Mathematics 3 East Asian Journal on Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Computer Aided Geometric Design 2 Mathematical and Computer Modelling 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 Journal of Inequalities and Applications 2 Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 1 Computers & Mathematics with Applications 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 BIT 1 Theoretical Computer Science 1 Journal of Computer Science and Technology 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 Pattern Recognition 1 Mathematical Programming. Series A. Series B 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Filomat 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Positivity 1 Taiwanese Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Applied Mathematics and Computing 1 Science in China. Series F 1 Mathematical Sciences 1 Journal of Mathematics all top 5 Cited in 12 Fields 112 Numerical analysis (65-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 17 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 6 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year