描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: C:\Documents and Settings\user\My Documents\fatree\課程簡介\課程網頁製作\cswang01.jpg    Chern-Shuh Wang     

     Associate Professor
     Department of Mathematics
     National Cheng Kung University
     Tainan, Taiwan 70101
     Phone: +886-6-2757575
     Fax: +886-6-2743191
     E-mail: cswang[at]math.ncku.edu.tw
     Office: Room 208, Mathematics Building
     Office hours:


·       2019 Spring: 經濟、心理、企管、交管、工資系 微積分(二)

·       2020 Fall: 經濟、心理、企管、交管、工資系 微積分()


Research Interest 

Numerical Analysis, Numerical Computation, Control Theory

Publication and preprints

1.   W. Wang, Chern-Shuh Wang, Y. Wei, P. Xie, Mixed, Componentwise Condition Numbers and Small Sample Statistical Condition Estimation for Generalized Spectral Projections and Matrix Sign Functions, Taiwanese J. Math.(2016), V. 20(2),  pp. 243-489.

2.   E. K.-W. Chu, C.-C. Yen, Chern-Shuh Wang,C.-Y Weng, Conditioning of State Feedback Pole Assignment Problems, Taiwanese J. Math.(2012), Vol.16(1), pp.283304.

  1. R-C Li, W.-W. Lin, Chern-Shuh Wang, Structured backward Error for Palindromic Eigenvalue Problems, Numerische Mathematik (2010), Vol.116, pp.95-122, also in NCTS Preprints 2008-8-007.
  2. T. Li, E. K.-W. Chu , Chern-Shuh Wang, Asymptotic Perturbations of Palindromic Eigenvalue Problems, TJM (2010), Vol.14(3A), pp.781--793.
  3. K.-C. Chen, Chern-Shuh Wang, C.-C. Yen, Numerical Algorithms for estimating the Largest Structured Singular Value of a mu-Synthesis System, Taiwanese J. Math. (2010), Vol.14(3A), pp.973--998, also NCTS Preprints 2008-11-003.
  4. E. K.-W. Chu, W.-W. Lin, Chern-Shuh Wang, Perturbation Analysis of Palindromic Eigenvalue Problem, ANZIAM J., (2008), Vol.50, pp.87100.
  5. Joao Carvalh, B. Datta, W.-W. Lin, Chern-Shuh Wang, 2006, Eigenvalue Embedding in a Quadratic Pencil Using Symmetric Low Rank Updates. J. Sound Vib., Vol.290, pp. 839864.
  6. Chu EKW, Fan HY, Lin WW, et al., MAY 20 2004, Structure-preserving algorithms for periodic discrete-time algebraic Riccati equations, INTER-NATIONAL JOURNAL OF CONTROL 77 (8): 767-788. (SCI)
  7. Wang, Chern-Shuh, 2001, Nonequivalence Transformation of $\lambda$-Matrix Eigenproblems and Model Embedding Approach to Model Tuning, Num. Lin. Alg. Appl. Vol. 8(1), pp. 53--70, (with W. R. Ferng, W.-W. Lin, D. Pierce).
  8. Wang, Chern-Shuh, 2000, Numerical Computation of the Minimal H-infty Norm for the Discrete-Time Output Feedback Control Problem, SIAM Num. Analy., Vol.38, pp.515547, (with W.-W. Lin, Q.-F. Xu).
  9. Wang, Chern-Shuh, 1999, Synchronization in Lattices of Coupled Oscillators with Various Boundary Conditions (to appear in Nonlinear Analysis, Theory, Methods , Appl.), (with C.-H. Chiu, W.-W. Lin).
  10. Wang, Chern-Shuh, 1999, Synchronization in Coupled Map Lattices with Periodic Boundary Condition, Int. J. Chaos Bifur., Vol. 9, pp. 16351652. (with W.-W. Lin, C.-C. Peng).
  11. Wang, Chern-Shuh, 1998, Synchronization in a lattice of coupled Van der Pol system, Int. J. chaos Bifur., Vol. 8, pp. 23532373, (with C.-H. Chiu, W.-W. Lin).
  12. Wang, Chern-Shuh, 1999, On the Computation of the optimal H-infty Norms for two Feedback control Problems, Lin. Alg. Appl., Vol. 287, pp. 223255, (with W.-W. Lin, C.-F. Xu).
  13. Wang, Chern-Shuh, 1999, On Numerical Algorithms for Undamped Gyroscopic systems, Comp. Math. Appl, Vol. 37, pp. 4966., (with W.R. Ferng, W.-W. Lin).
  14. Chern-Shuh Wang, and W.W. Lin, 1997, On Computing Stable Lagrangian Subspaces of Haniltoian Matrices and symplectic Pencils, SIAM J. Matrix Anal. Appl., 18:590-614.
  15. Chern-Shuh Wang, W.R. Ferng, and W.W. Lin, 1997, The Shfit-Inverted J-Lanxzos Algorithm for the Numerical Solutions of Large Sparse Algebraic Riccati Equation, Comp. Math. Appl., 33:23-40.
  16. J.S. Guo, W.W. Lin, Chern-Shuh Wang, 1995. Nonequivalence Deflations to the Sloutioin of Lambda-Matrices, Lin. Alg. Appl., 231:15-45.
  17. J.S. Guo, W.W. Lin, Chern-Shuh Wang, 1995. Numerical Solution of Large Sparse Quadratic Eigenvalue PRoblems, Lin. Alg.Appl., 225:57-89.
  18. W.W. Lin, Chern-Shuh Wang, C.S. Han, 1995. Homotopy Method for Solving the General Modified Discrete-Time Algebraic Riccati Equations, IEEE Trans. Auto. Contol, 5:920-925.


  1. Chern-Shuh Wang, A Structure-Preserving Lanczos-type Algorithm for Hamiltonian Eigenvalue Problem and Its Applications, 1997 Australian-Taiwances Conference on Analysis and Applications, Mar 31-April 5, 1997. At Uni. Oueensland. Brisbane. Australia.
  2. Wang, Chern-Shiuh, 1998, A Structure-Preserving Lanczos-type algorithm for Hamiltonian Eigenvalue Problems and Its Applications, Hunan Annals of Math. V. 18, No.3, pp. 13---20. (ed. H. Cai), Chinese Matrix Computation Conference (III)at Xiangtan Polytechnic Univ., Xiangan, China.
  3. Wang, Chern-Shuh, 1998, On the Schur Decomposition Approach for Computing Invariant Subspace of Cyclic Symplectic Matrix pairs. Proceedings of the Workshop on differential Equations (VI) and the International Workshop on Differential Equations and Scientific Computations. (eds. J.-S. Guo, Y.-J. Lin Guo), at NTHU Taipei, Taiwan.
  4. Wang, Chern-Shuh, Numerical Computation of Stable Lagrangian Subspaces of Hamiltonian Matrices and Symplectic Pencils and Applications, the Seventh SIAM Conference on Applied Linear Algebra, October 23-26, 2000 at the Jane S. McKimmon Conference Center at the North Carolina State University, Raleigh, NC, U.S.A.
  5. Chern-Shuh Wang,  Eigenvalue Embedding for Model Tuning on a Quadratic Eigenvalue Problem,  Fourth SIAM Conference on Linear Algebra in Signals, Systems and Control, August 1315, 2001, at Boston Park Plaza Hotel, Boston, Massachusetts, USA.
  6. Chern-Shuh Wang,  A Structure-Preserving Method for Periodic Algebraic Riccati Equations, NCTS International Workshop on $\mu$ Synthesis Theory and Its Applications, April 1112, 2003, at Tsing-Hua Univ. Hsinchu, Taiwan.
  7. Chern-Shuh Wang, A Structure-Preserving Method for Periodic Discrete-Time Algebraic Riccati Equations, International Conference of Numerical Analysis and Applied Mathematics 2004, September 1014, 2004, at Chalkis, Greece.
  8. Chern-Shuh Wang, On the Structure-Preserving Doubling Algorithm and Its Applications, 2005 Taiwan-Japan Joint workshop on Numerical Analysis and Scientific Computation, Nov. 3--6, 2005, in Institute of Mathematics, Academia Sinica at Nankang, Taipei, Taiwan.
  9. Chern-Shuh Wang, Numerical Algorithms for Computing Upper Bounds of the Largest Structured Singular Value, TMS-AMS Joint International Conference, December 14--18, 2005, in Tung-Hai University, Taichung, Taiwan.
  10. Chern-Shuh Wang, Convergence Analysis of a Structure-Preserving Algorithm for Nonsymmetric Algebraic Riccati Equation (a Singular Case), International Workshop on Accurate Solution of Eigenvalue Problems VI (IWASEP VI), May 2225, 2006, in Penn. State University, university Park, Pennsylvania, USA.
  11. Chern-Shuh Wang, A Fast Algorithm for Computing the Largest Structured Singular Value in a 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: 描述: C:\Documents and Settings\user\My Documents\fatree\課程簡介\課程網頁製作\index_clip_image002_0000.gif-Synthesis System, International Workshop on Linear Algebra in Control, July 22-25, 2007, in Fudan University, Shanghai, China. (Invited)
  12. Chern-Shuh Wang, Perturbation Analysis for Palindromic Polynomial Eigenvalue Problems, The 7th International Conference on Numerical Optimization and Numerical Linear Algebra (ICNONLA09), August 16-19, 2009, in Lijiang, Yunnan Province, China.
  13. Chern-Shuh Wang, Perturbation Analysis for Palindromic Polynomial Eigenvalue Problems, The First Cross-straits Workshop on Computational Mathematics, August 3-6, 2010, in Xiamen University, Xiamen, Fujian Province, China. (Invited)
  14. Chern-Shuh Wang, Conditioning of State Feedback Pole Assignment Problems, The 4-th International Conference on Numerical Algebra and Scientific Computing (NASC2012), October 20-24,2012, in Dalian,China.
  15. Chern-Shuh Wang, A Relaxation Strategy for Computing LowRank Approximate Solutions of LargeScale Algebraic Riccati Equations, August 6-9, 2014, in Seoul, Korea.
  16. Chern-Shuh Wang, On Implementation of Nonlinear Kalman Filtering Based on Using Synchronization,  NASC 2014, Oct. 25-29, 2014, Tongji Univ., Shanghai, China
  17. Regularization of Extended Kalman Filtering for Nonlinear Problems5th (2018) Cross-Straits Workshop on Computational Mathematics, Aug.3-7, 2018, in Guiyang, Guichou, China.


  1. W.-W. Lin, Chern-Shuh Wang, C.-S. Han, 1994, Existence of Homotopy Path by Homotopy Method for Solving Modified Algebraic Riccati Equation.
  2. W.R. Ferng, W.W. Lin, Chern-Shuh Wang, 1997. A Structure-Preserving Lanczos-type Algorithm for Hamiltonian Eigenvalue Problem and Its Applications.
  3. W.W. Lin, W.R. Ferng, Chern Shuh Wang, 2000. On Computing the Stable Deflating Subspaces of Periodic Symplectic Matrix Pairs.
  4. W.-W. Lin, Chern-Shuh Wang, 2000, A Structured Generalization Arnoldi Algorithm for Solving Large Sparse Symplectic pencils. Preprint.
  5. W.-W. Lin, V. Mehrmann, Chern-Shuh Wang, 2000, Numerical Methods for Model Reduction and Optimal Control of Second order Systems. Preprint.
  6. E. K.-W. Chu, W.-W. Lin, Chern-Shuh Wang, 2001, Extension by Left-Inverse for Second Order Systems. Preprint.
  7. W.-W. Lin, Chern-Shuh Wang, C.-C. Yen, 2008, Perturbation Analysis of Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems, in preparation.
  8. Wei-guo Wang, Chern-Shuh Wang, Yi-min Wei, 2009, Condition Numbers of Spectral Projections and Matrix Sign Function, Preprint.
  9. Naimin Zhang, Pan Shen, Chern-Shuh Wang*, Yimin Wei, 2011,  Constraint Preconditioners and Effective Condition Number for Solving Singular Saddle Point Problems, to submit.


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