Edit Profile (opens in new tab) Lai, Yisheng Co-Author Distance Author ID: lai.yisheng Published as: Lai, Yisheng; Lai, Yi-Sheng; Lai, YiSheng more...less Documents Indexed: 30 Publications since 1997 Co-Authors: 15 Co-Authors with 19 Joint Publications 535 Co-Co-Authors all top 5 Co-Authors 4 single-authored 7 Wang, Renhong 4 Chen, Falai 4 Du, Weiping 3 Duan, Dexin 2 Chau, Man Ho Michael 2 Deng, Yinbing 2 Fang, Xiaoke 2 Shi, Xiaoran 2 Wu, Jinming 2 Yam, Sheung Chi Phillip 2 Zhu, Yuanguo 1 Bensoussan, Alain 1 Gao, Yu 1 Guo, Qingjie 1 Jang, Jiatian 1 Li, Jue 1 Lin, Wen-Wei 1 Qian, Jiang 1 Wang, Fan all top 5 Serials 3 Journal of Computational and Applied Mathematics 2 Computer Aided Geometric Design 2 Science in China. Series A 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Mathematical Notes 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 SIAM Journal on Control and Optimization 1 Acta Mathematica Hungarica 1 Journal of Computational Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Numerical Linear Algebra with Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Abstract and Applied Analysis 1 Positivity 1 Journal of Liaoning Normal University. Natural Science Edition 1 Journal of Systems Science and Complexity 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 Applied Mathematics 1 Scientia Sinica. Mathematica all top 5 Fields 14 Numerical analysis (65-XX) 10 Algebraic geometry (14-XX) 7 Operator theory (47-XX) 6 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Commutative algebra (13-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 72 times in 37 Documents Cited by ▼ Year ▼ Linear-quadratic mean field Stackelberg games with state and control delays. Zbl 1372.91021 Bensoussan, A.; Chau, M. H. M.; Lai, Y.; Yam, S. C. P. 20 2017 An inexact inverse iteration for large sparse eigenvalue problems. Zbl 0889.65038 Lai, Y.; Lin, K.; Lin, W. 19 1997 Implicitizing rational surfaces using moving quadrics constructed from moving planes. Zbl 1338.65050 Lai, Yisheng; Chen, Falai 9 2016 Real zeros of the zero-dimensional parametric piecewise algebraic variety. Zbl 1177.14096 Lai, YiSheng; Wang, RenHong; Wu, JinMing 9 2009 Piecewise algebraic curve. Zbl 1005.65021 Wang, Renhong; Lai, Yisheng 8 2002 The Nöther and Riemann-Roch type theorems for piecewise algebraic curve. Zbl 1115.14054 Lai, Yi-Sheng; Wang, Ren-Hong 8 2007 Solving parametric piecewise polynomial systems. Zbl 1251.65075 Lai, Yisheng; Wang, Renhong; Wu, Jinming 7 2011 Real piecewise algebraic variety. Zbl 1080.14547 Wang, Renhong; Lai, Yisheng 7 2003 Implicitizing rational surfaces without base points by moving planes and moving quadrics. Zbl 1465.65016 Lai, Yisheng; Chen, Falai; Shi, Xiaoran 5 2019 The existence of nonzero solutions for a class of variational inequalities by index. Zbl 1041.49010 Lai, Yisheng; Zhu, Yuanguo; Deng, Yinbing 5 2003 The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece. Zbl 1273.14124 Lai, Yisheng; Du, Weiping; Wang, Renhong 5 2012 Existence theorems for solutions of variational inequalities. Zbl 1093.47056 Lai, Y.-S.; Zhu, Y.-G. 4 2005 An improved algorithm for constructing moving quadrics from moving planes. Zbl 1443.65021 Lai, Yisheng; Chen, Falai 3 2017 Fixed point index approach for solutions of variational inequalities. Zbl 1095.47030 Lai, Yisheng; Zhu, Yuanguo; Deng, Yinbing 3 2005 The mean squared loss control problem for a partially observed Markov chain. Zbl 1414.93204 Lai, Y.; Elliott, R. J. 1 2019 Counting positive solutions for polynomial systems with real coefficients. Zbl 1155.13314 Lai, Yisheng 1 2008 A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics. Zbl 1489.65042 Lai, Yisheng; Chen, Falai; Shi, Xiaoran; Gao, Yu 1 2022 Discrete-time mean field partially observable controlled systems subject to common noise. Zbl 1378.49013 Chau, M. H. M.; Lai, Y.; Yam, S. C. P. 1 2017 The Viro method for construction of \(C^r\) piecewise algebraic hypersurfaces. Zbl 1470.14118 Lai, Yisheng; Du, Weiping; Wang, Renhong 1 2013 A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics. Zbl 1489.65042 Lai, Yisheng; Chen, Falai; Shi, Xiaoran; Gao, Yu 1 2022 Implicitizing rational surfaces without base points by moving planes and moving quadrics. Zbl 1465.65016 Lai, Yisheng; Chen, Falai; Shi, Xiaoran 5 2019 The mean squared loss control problem for a partially observed Markov chain. Zbl 1414.93204 Lai, Y.; Elliott, R. J. 1 2019 Linear-quadratic mean field Stackelberg games with state and control delays. Zbl 1372.91021 Bensoussan, A.; Chau, M. H. M.; Lai, Y.; Yam, S. C. P. 20 2017 An improved algorithm for constructing moving quadrics from moving planes. Zbl 1443.65021 Lai, Yisheng; Chen, Falai 3 2017 Discrete-time mean field partially observable controlled systems subject to common noise. Zbl 1378.49013 Chau, M. H. M.; Lai, Y.; Yam, S. C. P. 1 2017 Implicitizing rational surfaces using moving quadrics constructed from moving planes. Zbl 1338.65050 Lai, Yisheng; Chen, Falai 9 2016 The Viro method for construction of \(C^r\) piecewise algebraic hypersurfaces. Zbl 1470.14118 Lai, Yisheng; Du, Weiping; Wang, Renhong 1 2013 The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece. Zbl 1273.14124 Lai, Yisheng; Du, Weiping; Wang, Renhong 5 2012 Solving parametric piecewise polynomial systems. Zbl 1251.65075 Lai, Yisheng; Wang, Renhong; Wu, Jinming 7 2011 Real zeros of the zero-dimensional parametric piecewise algebraic variety. Zbl 1177.14096 Lai, YiSheng; Wang, RenHong; Wu, JinMing 9 2009 Counting positive solutions for polynomial systems with real coefficients. Zbl 1155.13314 Lai, Yisheng 1 2008 The Nöther and Riemann-Roch type theorems for piecewise algebraic curve. Zbl 1115.14054 Lai, Yi-Sheng; Wang, Ren-Hong 8 2007 Existence theorems for solutions of variational inequalities. Zbl 1093.47056 Lai, Y.-S.; Zhu, Y.-G. 4 2005 Fixed point index approach for solutions of variational inequalities. Zbl 1095.47030 Lai, Yisheng; Zhu, Yuanguo; Deng, Yinbing 3 2005 Real piecewise algebraic variety. Zbl 1080.14547 Wang, Renhong; Lai, Yisheng 7 2003 The existence of nonzero solutions for a class of variational inequalities by index. Zbl 1041.49010 Lai, Yisheng; Zhu, Yuanguo; Deng, Yinbing 5 2003 Piecewise algebraic curve. Zbl 1005.65021 Wang, Renhong; Lai, Yisheng 8 2002 An inexact inverse iteration for large sparse eigenvalue problems. Zbl 0889.65038 Lai, Y.; Lin, K.; Lin, W. 19 1997 all cited Publications top 5 cited Publications all top 5 Cited by 40 Authors 11 Lai, Yisheng 11 Wang, Renhong 7 Wu, Jinming 6 Chen, Falai 5 Zhang, Xiaolei 3 Du, Weiping 3 Huang, Nan-Jing 3 Shi, Xiaoran 3 Zhu, Chungang 2 Jia, Xiaohong 2 Wang, Shaofan 1 Bourne, Martin 1 Busé, Laurent 1 Cheng, Jinsan 1 Cho, Yeol Je 1 Ding, Kexin 1 Duan, Dexin 1 Fan, Jianghua 1 Fang, Xiaoke 1 Fang, Yaping 1 Gao, Yu 1 Gong, Dianxuan 1 Hoffman, Jerome William 1 Kim, Jong Kyu 1 Li, Kai 1 Pérez-Díaz, Sonia 1 Prasad Goura, V. M. K. 1 Qian, Jiang 1 Roul, Pradip 1 Schueller, Albert W. 1 Shen, Liyong 1 Su, Yi 1 Wang, Bo 1 Wang, Fan 1 Wang, Haohao 1 Wang, Lei 1 Wei, Wenhong 1 Winkler, Joab R. 1 Wu, Keqing 1 Zhang, Bingwei all top 5 Cited in 17 Serials 8 Journal of Computational and Applied Mathematics 5 Computers & Mathematics with Applications 5 Computer Aided Geometric Design 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Applied Mathematics Letters 2 Science in China. Series A 1 Transactions of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of Global Optimization 1 Abstract and Applied Analysis 1 Positivity 1 Acta Mathematica Sinica. English Series 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Journal of Algebra and its Applications 1 Science China. Mathematics all top 5 Cited in 11 Fields 23 Numerical analysis (65-XX) 16 Algebraic geometry (14-XX) 7 Commutative algebra (13-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 3 Computer science (68-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year