Chern-Shuh Wang
Associate
Professor
Department of
Mathematics
National Cheng Kung
University
Tainan, Taiwan 70101
Phone: +886-6-2757575 Âà 65143
Fax: +886-6-2743191
E-mail: cswang[at]math.ncku.edu.tw
Office: Room 208, Mathematics Building
Office hours:
Teaching
- 2009 Fall:
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- 2010
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2019 Spring: ¸gÀÙ¡B¤ß²z¡B¥øºÞ¡B¥æºÞ¡B¤u¸ê¨t
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2020 Fall: ¸gÀÙ¡B¤ß²z¡B¥øºÞ¡B¥æºÞ¡B¤u¸ê¨t
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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.283¡X304.
- 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.
- T. Li, E.
K.-W. Chu , Chern-Shuh Wang, Asymptotic
Perturbations of Palindromic Eigenvalue Problems, TJM (2010), Vol.14(3A),
pp.781--793.
- 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.
- E. K.-W.
Chu, W.-W. Lin, Chern-Shuh Wang, Perturbation
Analysis of Palindromic Eigenvalue Problem, ANZIAM J., (2008), Vol.50,
pp.87¡X100.
- 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. 839¡X864.
- 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)
- 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).
- 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.515¡X547, (with W.-W. Lin, Q.-F. Xu).
- 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).
- Wang, Chern-Shuh, 1999, Synchronization in Coupled Map
Lattices with Periodic Boundary Condition, Int. J. Chaos Bifur., Vol. 9,
pp. 1635¡X1652. (with W.-W. Lin, C.-C. Peng).
- Wang, Chern-Shuh, 1998, Synchronization in a lattice of
coupled Van der Pol system, Int. J. chaos Bifur., Vol. 8, pp. 2353¡X2373, (with C.-H. Chiu, W.-W. Lin).
- Wang, Chern-Shuh, 1999, On the Computation of the optimal H-infty Norms for two Feedback control Problems, Lin.
Alg. Appl., Vol. 287, pp. 223¡X255, (with W.-W.
Lin, C.-F. Xu).
- Wang, Chern-Shuh, 1999, On Numerical Algorithms for Undamped
Gyroscopic systems, Comp. Math. Appl, Vol. 37,
pp. 49¡X66., (with W.R. Ferng,
W.-W. Lin).
- 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.
- 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.
- J.S. Guo, W.W. Lin, Chern-Shuh
Wang, 1995. Nonequivalence Deflations to the Sloutioin
of Lambda-Matrices, Lin. Alg. Appl., 231:15-45.
- J.S. Guo, W.W. Lin, Chern-Shuh Wang,
1995. Numerical Solution of Large Sparse Quadratic Eigenvalue PRoblems, Lin. Alg.Appl.,
225:57-89.
- 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.
Proceeding
- 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.
- 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.
- 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.
- 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.
- 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 13¡X15, 2001, at Boston
Park Plaza Hotel, Boston, Massachusetts, USA.
- Chern-Shuh Wang, A
Structure-Preserving Method for Periodic Algebraic Riccati
Equations, NCTS International Workshop on $\mu$ Synthesis Theory and Its
Applications, April 11¡X12, 2003, at Tsing-Hua
Univ. Hsinchu, Taiwan.
- Chern-Shuh Wang, A
Structure-Preserving Method for Periodic Discrete-Time Algebraic Riccati Equations, International Conference of
Numerical Analysis and Applied Mathematics 2004, September 10¡X14, 2004, at Chalkis, Greece.
- 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.
- 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.
- 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 22¡X25, 2006, in Penn. State
University, university Park, Pennsylvania, USA.
- Chern-Shuh Wang, A Fast
Algorithm for Computing the Largest Structured Singular Value in a
-Synthesis
System, International Workshop on Linear Algebra in Control, July 22-25,
2007, in Fudan University, Shanghai, China.
(Invited)
- 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.
- 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)
- 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.
- Chern-Shuh Wang, A Relaxation
Strategy for Computing LowRank Approximate
Solutions of LargeScale Algebraic Riccati Equations, August 6-9, 2014, in Seoul, Korea.
- Chern-Shuh Wang, On
Implementation of Nonlinear Kalman Filtering
Based on Using Synchronization,
NASC 2014, Oct. 25-29, 2014, Tongji
Univ., Shanghai, China
- Regularization
of Extended Kalman Filtering for Nonlinear Problems¡A5th (2018) Cross-Straits Workshop on Computational Mathematics,
Aug.3-7, 2018, in Guiyang, Guichou, China.
Other
- W.-W. Lin,
Chern-Shuh Wang, C.-S. Han, 1994, Existence of Homotopy Path by Homotopy
Method for Solving Modified Algebraic Riccati
Equation.
- W.R. Ferng, W.W. Lin, Chern-Shuh
Wang, 1997. A Structure-Preserving Lanczos-type
Algorithm for Hamiltonian Eigenvalue Problem and Its Applications.
- W.W. Lin,
W.R. Ferng, Chern Shuh Wang, 2000. On Computing the Stable Deflating
Subspaces of Periodic Symplectic Matrix Pairs.
- W.-W. Lin,
Chern-Shuh Wang, 2000, A Structured
Generalization Arnoldi Algorithm for Solving
Large Sparse Symplectic pencils. Preprint.
- W.-W. Lin,
V. Mehrmann, Chern-Shuh
Wang, 2000, Numerical Methods for Model Reduction and Optimal Control of
Second order Systems. Preprint.
- E. K.-W.
Chu, W.-W. Lin, Chern-Shuh Wang, 2001, Extension
by Left-Inverse for Second Order Systems. Preprint.
- W.-W. Lin,
Chern-Shuh Wang, C.-C. Yen, 2008, Perturbation
Analysis of Structure-Preserving Algorithms for Palindromic Quadratic
Eigenvalue Problems, in preparation.
- Wei-guo Wang, Chern-Shuh Wang,
Yi-min Wei, 2009, Condition Numbers of Spectral Projections and Matrix
Sign Function, Preprint.
- 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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