成果/Result
- 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
- 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
- Model-order reduction of large-scale kth-order linear dynamical systems via a kth-order Arnoldi method被引量：18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：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2010
- 关键词：high-order linear system kth-order Krylov subspace kth-order Arnoldi procedure model-order reduction polynomial eigenvalue problem
- 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
- Convergence analysis of the Newton-Shamanskii method for a nonsymmetric algebraic Riccati equation被引量：14收藏
- 作者：Lin, Yiqin Bao, Liang
- 机构：Hunan Univ Sci & Engn;E China Univ Sci & Technol
- 来源：NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 2008
- 关键词：nonsymmetric algebraic Riccati equation transport theory minimal positive solution M-matrix Newton-Shamanskii method
- 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
- Restarted generalized Krylov subspace methods for solving large-scale polynomial eigenvalue problems被引量：6收藏
- 作者：Bao, Liang Lin, Yiqin Wei, Yimin
- 机构：E China Univ Sci & Technol;Hunan Univ Sci & Engn;Fudan Univ;Fudan Univ
- 来源：NUMERICAL ALGORITHMS 2009
- 关键词：Polynomial eigenvalue problem Generalized Krylov subspace Generalized Arnoldi procedure Projection technique Refined technique Restarting
- 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
- Residual-Based Simpler Block GMRES for Nonsymmetric Linear Systems with Multiple Right-Hand Sides被引量：1收藏
- 作者：Wu, Qinghua Bao, Liang Lin, Yiqin
- 机构：Xiangtan Univ;Hunan Univ Sci & Engn;East China Univ Sci & Technol
- 来源：ADVANCES IN MATHEMATICAL PHYSICS 2018
- 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
- 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
- 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 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
- 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
- fast Second-Order Orthogonal Tensor Subspace Analysis for face Recognition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：JOURNAL OF APPLIED MATHEMATICS 2014
