成果/Result
- A projection method based on extended Krylov subspaces for solving Sylvester equations被引量：44收藏
- 作者：Lin, Yiqin Bao, Liang Wei, Yimin
- 机构： Department of Mathematics and Computational Science; Department of Mathematics; School of Mathematical Sciences; Key Laboratory of Mathematics for Nonlinear Sciences
- 来源：World Academy of Science, Engineering and Technology 2011
- 关键词：Numerical methods - Inverse problems - Matrix algebra
- Krylov subspace type methods for solving projected generalized continuous-time Lyapunov equations被引量：42收藏
- 作者：Zhou, Yujian Lin, Yiqin Bao, Liang
- 机构： Hunan University of Science and Engineering; East China University of Science and Technology
- 来源：WSEAS Transactions on Mathematics 2012
- 关键词：Lyapunov functions - Continuous time systems
- Restarted generalized second-order krylov subspace methods for solving quadratic EIgenvalue problems被引量：40收藏
- 作者：Zhou, Liping Bao, Liang Lin, Yiqin Wei, Yimin Wu, Qinghua
- 机构： Department of Mathematics and Computational Science; Department of Mathematics; School of Mathematical Sciences; Key Laboratory of Mathematics for Nonlinear Sciences
- 来源：International Journal of Computational and Mathematical Sciences 2010
- 关键词：Degrees of freedom (mechanics) - EIgenvalues and EIgenfunctions - Numerical methods - Vectors - Problem solving - Acoustic fields - Fluid mechanics
- A schur method for solving projected continuous-time sylvester equations被引量：33收藏
- 作者：Lin, Yiqin Bao, Liang Wu, Qinghua Zhou, Liping
- 机构： Department of Mathematics and Computational Science; Department of Mathematics; Department of Mathematics and Computational Science; Department of Mathematics and Computational Science
- 来源：International Journal of Computational and Mathematical Sciences 2010
- 关键词：Numerical methods - Continuous time systems
- Model-order reduction of large-scale kth-order linear dynamical systems via a kth-order Arnoldi method被引量：30收藏
- 作者：Lin, Yiqin Bao, Liang Wei, Yimin
- 机构： Department of Mathematics and Computational Science; Department of Mathematics; Institute of Mathematics
- 来源：International Journal of Computer Mathematics 2010
- 关键词：Dynamical systems - Linear control systems - Numerical methods - EIgenvalues and EIgenfunctions
- Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces被引量：27收藏
- 作者：Lin, Yiqin Bao, Liang Wei, Yimin
- 机构：Hunan Univ Sci & Engn;E China Univ Sci & Technol;Fudan Univ;Fudan Univ
- 来源：COMPUTERS & MATHEMATICS WITH APPLICATIONS 2009
- 关键词：Bilinear system Order-reduced modeling Moment matching Block Krylov subspace Projection method
- A direct method for solving projected generalized continuous-time Sylvester equations被引量：23收藏
- 作者：Lin, Yiqin Bao, Liang Cao, Yanhua Zhou, Liping
- 机构： Department of Mathematics and Computational Science; Department of Mathematics; Department of Mathematics
- 来源：Journal of Control Theory and Applications 2012
- 关键词：Continuous time systems - Numerical methods
- Convergence analysis of a variant of the Newton method for solving nonlinear equations被引量：21收藏
- 作者：Lin, Yiqin Bao, Liang Jia, Xianzheng
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn;Shandong Univ Technol
- 来源：COMPUTERS & MATHEMATICS WITH APPLICATIONS 2010
- 关键词：Nonlinear system Newton method Modified Newton method Convergence behavior Nonsymmetric algebraic Riccati equation M-matrix
- A new generalized successive-overrelaxation iteration method for solving saddle point problems被引量：20收藏
- 作者：Siting, Wu Liang, Bao Jingxuan, Huang
- 机构： School of Science
- 来源：ACM International Conference Proceeding Series 2021
- 关键词：Matrix algebra - Numerical methods
- On the generalized structure-preserving doubling algorithm for Generalized Discrete-time Algebraic Riccati equations被引量：18收藏
- 作者：Lin, Yiqin Bao, Liang Wei, Yimin
- 机构： Institute of Computational Mathematics; Department of Mathematics; Institute of Mathematics; Key Laboratory of Mathematics for Nonlinear Sciences
- 来源：Journal of Information and Computational Science 2011
- 关键词：Hamiltonians - Mathematical transformations - Algebra - Riccati equations
- A modified Newton method for solving non-symmetric algebraic Riccati equations arising in transport theory被引量：17收藏
- 作者：Lin, Yiqin Bao, Liang Wei, Yimin
- 机构：Fudan Univ;Fudan Univ;Hunan Univ Sci & Engn;E China Univ Sci & Technol
- 来源：IMA JOURNAL OF NUMERICAL ANALYSIS 2008
- 关键词：non-symmetric algebraic Riccati equation transport theory minimal positive solution M-matrix modified Newton method
- Inexact iterative methods for solving matrix Riccati equations arising in stochastic control被引量：17收藏
- 作者：Lin, Yiqin Bao, Liang
- 机构： Institute of Computational Mathematics; Department of Mathematics
- 来源：Journal of Information and Computational Science 2010
- 关键词：Numerical methods - Stochastic systems - Newton-Raphson method - Stochastic control systems
- Simpler GMRES with deflated restarting被引量：10收藏
- 作者：Lin, Yiqin Bao, Liang Wu, Qinghua
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn
- 来源：MATHEMATICS AND COMPUTERS IN SIMULATION 2012
- 关键词：Linear system EIgenvector Harmonic Ritz vector GMRES Simpler GMRES Restarting
- Perturbation analysis of the generalized Sylvester equation and the generalized Lyapunov equation被引量：9收藏
- 作者：Tang, Yaoping Bao, Liang Lin, Yiqin
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn
- 来源：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2011
- 关键词：perturbation analysis condition number linear asymptotic bound generalized Sylvester equation generalized Lyapunov equation
- Matrix Sign Function Methods for Solving Projected Generalized Continuous-Time Sylvester Equations被引量：8收藏
- 作者：Lin, Yiqin Bao, Liang Wei, Yimin
- 机构：Hunan Univ Sci & Engn;E China Univ Sci & Technol;Fudan Univ
- 来源：IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2010
- 关键词：C-stable matrix pencil matrix sign function projected generalized Sylvester equation
- On the convergence rate of an iterative method for solving nonsymmetric algebraic Riccati equations被引量：4收藏
- 作者：Lin, Yiqin Bao, Liang Wu, Qinghua
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn
- 来源：COMPUTERS & MATHEMATICS WITH APPLICATIONS 2011
- 关键词：Nonsymmetric algebraic Riccati equation Transport theory Minimal positive solution Iterative method Convergence rate
- On the loss of orthogonality in the second-order Arnoldi process被引量：1收藏
- 作者：Lin, Yiqin Bao, Liang
- 机构：Hunan Univ Sci & Engn;East China Univ Sci & Technol
- 来源：JOURNAL OF APPLIED MATHEMATICS AND COMPUTING 2011
- 关键词：Second-order Krylov subspace Second-order Arnoldi process Rounding error analysis Modified Gram-Schmidt algorithm Orthogonalization
- Model-order reduction of kth order MIMO dynamical systems using block kth order Krylov subspaces被引量：1收藏
- 作者：Li, Bin Bao, Liang Lin, Yiqin Wei, Yimin
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn;Fudan Univ;Fudan Univ
- 来源：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2011
- 关键词：high-order MIMO system block kth order Krylov subspace block kth order Arnoldi process model-order reduction moment
- Augmented Arnoldi-Tikhonov Regularization Methods for Solving Large-Scale Linear Ill-Posed Systems被引量：1收藏
- 作者：Lin, Yiqin Bao, Liang Cao, Yanhua
- 机构：Hunan Univ Sci & Engn;E China Univ Sci & Technol;North China Elect Power Univ
- 来源：MATHEMATICAL PROBLEMS IN ENGINEERING 2013
- 关键词：Problem solving
- On the Perturbation Bounds of Projected Generalized Continuous-Time Sylvester Equations被引量：1收藏
- 作者：Zhou, Yujian Bao, Liang Lin, Yiqin
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn
- 来源：MATHEMATICAL PROBLEMS IN ENGINEERING 2012
- An Alternating Direction Implicit Method for Solving Projected Generalized Continuous-Time Sylvester Equations被引量：0收藏
- 作者：Zhou, Yujian Bao, Liang Lin, Yiqin
- 机构：Hunan Univ Sci & Engn;E China Univ Sci & Technol
- 来源：MATHEMATICAL PROBLEMS IN ENGINEERING 2013
- 关键词：Control theory - Computation theory - Numerical methods
- On the block GMRES method with deflated restarting被引量：0收藏
- 作者：Lin, Yiqin Li, Wenbo Bao, Liang Wu, Qinghua
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn;Xiangtan Univ
- 来源：APPLIED MATHEMATICS AND COMPUTATION 2011
- 关键词：Linear system Iterative method Block GMRES Deflation Accuracy Multiple right-hand sides
