Curriculum Vitae

Wen-Wei LinDepartment of Applied Mathematics

National Chiao Tung UniversityNo. 1001, University Road

Hsinchu, 300, Taiwan, R.O.C.Tel: +886-3-571-2121ext.56429

Fax: +886-3-571-8949wwlin@math.ntcu.edu.tw

http://www.math.nctu.edu.tw/∼wwlin

• Academic Degrees

B.S., National Chengchi University, Taiwan, 1976 (Applied Mathe-matics).

M.S., National Tsing Hua University, Taiwan, 1978 (Mathematics,Algebraic Geometry).

Ph.D., University of Bielefeld, Germany, 1985 (Applied Mathematics,Numerical Analysis).

• Academic Positions

2015–2018, Executive Officer of the ST Yau Center, Chiao Tung Uni-versity.

2012–present, Chair Professor of Chiao Tung University.

2010–2012, Distinguished Professor of Taiwan University.

2008–2010, Chair Professor of Chiao Tung University.

2006–2008, Chair Professor of Tsing Hua University.

2005–2006, Professor of Natural Science of Tsing Hua University.

2010–2012, Department of Mathematics, National Taiwan University,Professor.

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2008–2010, Department of Applied Mathematics, National Chiao TungUniversity, Professor.

1996–2008, Department of Mathematics, National Tsing Hua Univer-sity, Professor.

1991–1996, Institute of Applied Mathematics, National Tsing HuaUniversity, Professor.

1986–1991, Institute of Applied Mathematics, National Tsing HuaUniversity, Associate Professor.

1985–1986, Department of Applied Mathematics, University of Biele-feld, Postdoctoral.

• Research Interests

Numerical Analysis, Matrix Computations, Optimal Control,Chaotic Dynamical System, Parallel Computations, Matrix Theory.

• Ph.D. Students

T. M. Hwang, “Rank revealing QR, LU Factorizations and RelaxingPath Following Algorithm for Linear Convex Quadratic Program-ming”, (1994).

C. S. Wang, “On the Non-equivalence Deflations for Solving λ-MatrixEigenvalue Problems”, (1994).

K. Y. Lin,“Numerical Algorithms for Solving Large Sparse StructureEigenvalue Problems”, (1996).

S. S. You, “The Growing and Pruning of Neural Network Learning:A Projection Pursuit Perspective”, (1996), co-advised with Prof.J.-N. Hwang.

Q. F. Xu, “Eigenspace Approach to H∞ Control Problems with Nu-merical Computation of the Optimum Norm”, (1999).

C. H. Hu, “A Core Perturbation Method with a Davidson Algorithm”,(1999), co-advised with Prof. Y.-W. H. Liu.

W. B. Tsai, “Convergence Acceleration by Varying Time Step-size forTurbulent Flow Computation”, (2000).

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C. C. Peng, “Synchronization and Controlling Chaos for Chaotic Dy-namical Systems”, (2001).

S. W. Chen, “Conley Index Theory with Applications to Cellular Neu-ral Networks”, (2001).

S. M. Chang, “Numerical Study of Multi-Component Bose-EinsteinCondensates”, (2003).

H. Y. Fan, “Numerical Study of Algebraic Riccati Equations and Bal-anced Realization of Periodic Descriptor Systems”, (2004).

Y. C. Kuo, “Inverse Eigenvalue Problems for Periodic Matrix Penciland Quadratic Pencil”, (2004).

C. Y. Chiang, “Convergence Analysis of the Structure-Preserving Dou-bling Algorithms for Nonlinear Matrix Equations”, (2008).

C. C. Hu, “Isotropic and Nonisotropic Chaotic Vibrations of the 1DWave System”, (2009).

C. C. Huang, “Chaos Based Cryptography and Spatial-Temporal ChaoticSystem Stream Cipher”, (2010).

C. S. Liu, “Inexact Iterative Methods For Solving Eigenvalue Prob-lems”, (2012).

W. Q. Huang, “Efficient Arnoldi-Type Algorithms for Quadratic andRational Eigenvalue Problems”, (2012).

W. S. Su, “Palindromic Quadratization and Structure-Preserving Al-gorithm for Palindromic Matrix Polynomials”, (2013).

• Awards and Honors

– Outstanding Research Award, 1994–1995, National Science Council.

– Distinguished Research Award, 1999, Sun Yat-sen Academic Foun-dation.

– Outstanding Research Award, 2002–2004, National Science Council.

– Academic Award from Ministry of Education, 2004.

– Professor of Natural Sciences of Tsing Hua University, (2005–2006).

– Chair Professor of Tsing Hua University, (2006–2008).

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– National Chairship Professor, (2007–2009).

– Chair Professor of Chiao Tung University, (2008–2010).

– Scientist of Center of Mathematical Modeling and Scientific Com-puting of Chiao Tung University, (2010–2012).

– Distinguished Professor of Taiwan University, (2010–2011).

– Chair Professor of Taiwan University, (2011–2012).

– Scientist of National Center of Theoretical Science, (2013–2015).

– Chair Professor of Chiao Tung University, (2012–present).

• Editorial Work

– Associate Editor of Taiwanese Journal of Mathematics (TJM), (1999–2014).

– Editor on the Advisory Editorial Board of Numerical Linear Algebrawith Applications (NLAA), (2000–2009).

– Editor in Chief of Taiwanese Journal of Mathematics (TJM), (2004–2006).

– Associate Editor of SIAM Journal on Matrix Analysis and Applica-tions (SIMAX), 2013–present.

– Associate Editor of Communications in Information and Systems(CIS), (2014–present).

– Associate Editor of Electronic Transactions on Numerical Analysis(ETNA), (2014–present).

– Editor in Chief of Annals of Mathematical Sciences and Applications(AMSA), (2015–present)

• Research Activity

– 1997, April, Brisban, Australia, “Australian-Taiwanese Workshopon Analysis and Applications”, Invited Speaker.

– 1997/July–1997/September, (1995/July–1995/September), BoeingCompany, Seattle, U.S.A., Visiting Scholarship.

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– 1998, December, NTNU, Taiwan, “International Workshop on Dif-ferential Equations and Scientific Computations”, Invited Speaker.

– 1999, September, Nanjing, China, “International Conference on Op-timization and Numerical Algebra”, Invited Speaker.

– 2000, January, NSYSU, Taiwan, “International Conference on Math-ematical Analysis and Its Applications (ICMAA2000)”, InvitedSpeaker.

– 2000, August, Hawaii, U.S.A., “SIAM Pacific Rim Dynamical Sys-tems Conference”, Invited Speaker.

– 2000, October, NCSU, U.S.A., “7th SIAM Conference on AppliedLinear Algebra”, Invited Speaker.

– 2001, May, NCKU, Taiwan, “International Conference on Optimiza-tion and Optimal Control (ICOOC2001)”, Program Chair.

– 2001, June, Shanghai, China, “First Asia-Pacific Workshop on ChaosControl and Synchronization”, Invited Speaker.

– 2001, August, Boston, U.S.A., “4th SIAM Conference on LinearAlgebra in Signal, Systems and Control (LC01)”, Invited Speaker.

– 2001, December, Taipei, Taiwan, “The 2nd International Congressof Chinese Mathematicians (ICCM2001)”, Invited Speaker.

– 2003, July, Williamsburg, U.S.A., “8th SIAM Conference on AppliedLinear Algebra”, Invited Speaker.

– 2004, September, Chalkis, Greece, “International Conference on Nu-merical Analysis and Applied Mathematics”, Invited Speaker.

– 2005, March, Hsinchu, Taiwan, “Japan-Taiwan Conference on Dy-namical Systems”, Invited Speaker.

– 2005, December, Taichung, Taiwan, “TMS & AMS Joint Interna-tional Conference”, Invited Speaker.

– 2006, July, Kyoto, Japan, “17th International Symposium on Math-ematical Theory of Networks and Systems”, Invited Speaker.

– 2007, July, Shanghai, China, “14th Conference of the InternationalLinear Algebra Society (ILAS2007)”, Invited Speaker.

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– 2007, July, Zurich, Switzerland, “6th International Congress on In-dustrial and Applied Mathematics (ICIAM2007)”, Invited Speaker(2 minisymposiums).

– 2007, December, Hangzhou, China, “The 4th International Congressof Chinese Mathematicians (ICCM2007)”, Invited Speaker.

– 2008, January, NCTS, Hsinchu, Taiwan “Recent Advance Methodsfor Eigenvalue Problems (RAMEP2008)”, Main Organizer.

– 2008, May, Xiangshan, Beijing, China “International Workshop onMathematical and Computational Methods for PDE EigenvalueProblems”, Invited Speaker.

– 2008, November, Nanjing, China, “Numerical Algorithm and Scien-tific Computation (NASC2008)”, Invited Speaker.

– 2010, June, Pisa, Italy, “15th Conference of the International LinearAlgebra Society (ILAS2010)”, Invited Speaker.

– 2010, July, Berlin, Germany, “International Workshop on AccurateSolutions of Eigenvalue Problems (IWASEP)”, Invited Speaker.

– 2010, December, Beijing, China, “The 5th International Congressof Chinese Mathematicians (ICCM2010)”, Invited Speaker.

– 2011, March, Hong-Kong, China, “The Third Conference on Numer-ical Algebra and High-Performance Computing”, Invited Speaker.

– 2011, December, Macan, China, “The Workshop on Scientific Com-puting”, Invited Speaker.

– 2012, June, Valencia, Spain, “SIAM Applied Linear Algebra 2012”,Minisymposium “Structured Solution of Nonlinear Matrix Equa-tions and Applications”, Organizer and Invited Speaker.

– 2012, October, Dalian, China, “Conference on Numerical Algebraand Scientific Computing”, Invited Speaker.

– 2013, July, Taipei, Taiwan, “The 6th International Congress of Chi-nese Mathematician (ICCM2013)”, Plenary Speaker.

– 2013, December, Hsinchu, Taiwan, “2013 NCTS Workshop on Nu-merical Linear Algebra and High Performance Computing”, MainOrganizer.

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– 2014, August, Seoul, Korea, “19th Conference of the InternationalLinear Algebra Society (ILAS2014)”, Minisymposium Organizer.

– 2014, October, Shanghai, China, “The 5th Internal Conference onNumerical Algebra and Scientific Computing”, Invited Speaker.

– 2014, December, Taipei, Taiwan, “Structured Matrices and Tensors:Analysis, Algorithms and Applications”, Main Organizer.

– 2014, March, Tsukuba, Japan, “International Workshop on Eigen-value Problems: Algorithms: Software and Applications, in Petas-cale Computing (EPASA2014)”, Invited Speaker.

– 2015, August, Beijing, China, “International Congress on Indus-trial and Applied Mathematics (ICIAM2015)”, Invited Speaker(2 minisymposiums).

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Publications

A. Refereed Papers

1. W. W. Lin, On Reducing infinite Eigenvalues of Regular Pencils bya Nonequivalence Transformation, Lin. Alg. Appl., Vol. 78 (1986),207–231.

2. W. W. Lin, An Algorithm for Computing the Eigenstructure of aRegular Matrix Polynomial, Lin. Alg. Appl., Vol. 91 (1987), 195–211.

3. W. W. Lin, A New Method for Computing The Closed-Loop Eigenval-ues of a Discrete-Time Algebraic Riccati Equation, Lin. Alg. Appl.,Vol. 96 (1987), 157–180.

4. W. W. Lin, The Computation of the Kronecker Canonical Form of anArbitrary Symmetric Pencil, Lin. Alg. Appl., Vol. 103 (1988), 47–71.

5. W. W. Lin and G. Lutzer, An Application of the Homotopy Methodto the Generalised Symmetric Eigenvalue Problem, J. Austral. Math.Soc. Ser. B, Vol. 30 (1988), 230–249.

6. W. W. Lin, An SDR Algorithm for the Solution of the GeneralizedAlgebraic Riccati Equation, IEEE Trans. Auto. Control, Vol. 34(1989), 875–879.

7. D. C. Dzeng and W. W. Lin, HMDR and FMDR Algorithm for theGeneralized Eigenvalue Problem, Lin. Alg. Appl., Vol. 112 (1989),169–187.

8. D. C. Dzeng and W. W. Lin, Homotopy Continuation Method for theNumerical Solutions of Generalised Symmetric Eigenvalue Problems,J. Austral. Math. Soc. Ser. B, Vol. 32 (1991), 437–456.

9. C. W. Chen and W. W. Lin, An Acceleration Method for Computingthe Generalized Eigenvalue Problem on a Parallel Computer, Lin. Alg.Appl., Vol. 146 (1991), 49–65.

10. U. Flaschka, W. W. Lin, and J. L. Wu, A KQZ Algorithm for Solv-ing Linear-Response Eigenvalue Equations, Lin. Alg. Appl., Vol. 165(1992), 93–123.

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11. T. M. Hwang, W. W. Lin, and E. K. Yang, Rank Revealing LU Fac-torizations, Lin. Alg. Appl., Vol. 175 (1992), 115–141.

12. L. Z. Lu andW. W. Lin, An Iterative Algorithm for the solution of theDiscrete-Time Algebraic Riccati Equation, Lin. Alg. Appl., Vol. 189(1993), 465–488.

13. W. W. Lin and S. S. You, A Symmetric Acceleration Method for thesolution of the Algebraic Riccati Equations on a Parallel Computer,Lin. Alg. Appl., Vol. 189 (1993), 437–464.

14. T. M. Hwang, C. H. Lin, W. W. Lin, and S. C. Fang, A RelaxedPrimal-Dual Path Following Algorithm for Convex Quadratic Program-ming, Mathematical Today, Vol. XII-A (1994), 115–144.

15. W. W. Lin, C. S. Wang, and C. H. Han, Continuation Methodsfor Solving Modified Discrete-Time Algebraic Riccati Equations, IEEETrans. Auto. Control, Vol. 40, No. 5 (1995), 920–924.

16. J. S. Guo, W. W. Lin, and C. S. Wang, Numerical Solutions for LargeSparse Quadratic Eigenvalue Problems, Lin. Alg. Appl., Vol. 225(1995), 57–89.

17. T. M. Hwang, C. H. Lin, W. W. Lin, and S. C. Fang, A Relaxed In-terior Primal-Dual Path Following Algorithm for Linear Programming,Annals of O. R., Vol. 62 (1995), 173–196.

18. J. S. Guo, W. W. Lin, and C. S. Wang, Nonequivalence Deflationfor the Solution of Matrix Latent Value Problems, Lin. Alg. Appl.,Vol. 231 (1995), 15–45.

19. Y. H. Hong, W. W. Lin, and C. T. Pan, A Non-iterative Algorithmfor Fast Calculation of A Voltage Stability Index, J. Chinese Inst.Elec. Eng., Vol. 3 (1996), 69–76.

20. T. M. Hwang, W. W. Lin, and D. Pierce, Improved Bound for RankRevealing LU Factorizations, Lin. Alg. Appl., Vol. 261 (1997), 173–186.

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21. W. R. Ferng, W. W. Lin, and C. S. Wang, The Shift-Inverted J-Lanczos Algorithm for the Numerical Solutions of Large Sparse Alge-braic Riccati Equations, Comp. Math. Appl., Vol. 33, No. 10 (1997),23–40.

22. W. R. Ferng, K. Y. Lin, and W. W. Lin, A Novel Nonsymmetric K−-Lanczos Algorithm for the Generalized Nonsymmetric K−-EigenvalueProblems, Lin. Alg. Appl., Vol. 252 (1997), 81–105.

23. W. W. Lin and C. S. Wang, On Computing Stable Lagrangian Sub-spaces of Hamiltonian Matrices and Symplectic Pencils, SIAM Ma-trix Anal. Appl., Vol. 18, No. 3 (1997), 590–614.

24. Y. H. Hong, C. T. Pan, and W. W. Lin, Fast Calculation of a VoltageStability Index of Power Systems, IEEE Trans. Power Systems,Vol. 12, No. 4 (1997), 1555–1560.

25. Y. L. Lai, K. Y. Lin, and W. W. Lin, An Inexact Inverse Iterationfor Large Sparse Eigenvalue Problems, Num. Lin. Alg. Appl., Vol. 4,No. 5 (1997), 425–437.

26. Y. L. Lai, W. W. Lin, and D. Pierce, Conjugate Gradient and MinimalResidual Methods for Solving Symmetric Indefinite Systems, J. Comp.Appl. Math., Vol. 84 (1997), 243–256.

27. J. Juang and W. W. Lin, Nonsymmetric Algebraic Riccati Equationsand Hamiltonian-like Matrices, SIAM Matrix Anal. Appl., Vol. 20,No. 1 (1998), 228–243.

28. V. S. Afraimovich andW. W. Lin, Synchronization in Lattices of Cou-pled Oscillators with Neumann/Periodic Boundary Conditions, Dy-namics and Stability of Systems, Vol. 13, No. 3 (1998), 237–264.

29. C. H. Chiu, W. W. Lin and C. S. Wang, Synchronization in a Latticeof Coupled Van Der Pol Systems, Int. J. Bifur. and Chaos, Vol. 8,No. 12 (1998), 2353–2373.

30. W. R. Ferng, W. W. Lin, and C. S. Wang, Numerical Algorithms forUndamped Gyroscopic Systems, Comp. Math. Appl., Vol. 37 (1999),49–66.

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31. W. W. Lin, C. S. Wang, and Q. F. Xu, On the Computation of theOptimal H∞ Norms for Two Feedback Control Problems, Lin. Alg.Appl., Vol. 287 (1999), 223–255.

32. C. H. Hu, W. W. Lin, and Y. W. H. Liu, Calculation of Flux Per-turbations with a Davidson-type Algorithm, Trans. Amer. NuclearSoc., Vol. 131 (1999), 370–386.

33. C. S. Chien, W. W. Lin, and Z. Mei, Conjugate Gradient Type Meth-ods for Semilinear Elliptic Problems with Symmetry, Comp. Math.Appl., Vol. 37 (1999), 3–22.

34. W. W. Lin, C. C. Peng, and C. S. Wang, Synchronization in CoupledMap Lattices with Periodic Boundary Condition, Int. J. Bifur. andChaos, Vol. 9, No. 8 (1999), 1635–1652.

35. W. W. Lin, V. Mehrmann, and H. G. Xu, Canonical Forms forHamiltonian and Symplectic Matrices and Pencils, Lin. Alg. Appl.,Vol. 302–303 (1999), 469–533.

36. L. Z. Lu, W. W. Lin, and C. E. M. Pearce, An Efficient Algorithmfor the Discrete-Time Algebraic Riccati Equation, IEEE Trans. Auto.Control, Vol. 44, No. 6 (1999), 1216–1220.

37. C. H. Hsu, J. Juang, S. S. Lin, and W. W. Lin, Cellular NeuralNetworks: Local Patterns for General Templates, Int. J. Bifur. andChaos, Vol. 10, No. 7 (2000), 1645–1659.

38. V. S. Afraimovich, W. W. Lin, and N. F. Rulkov, Fractal Dimen-sion for Poincare Recurrences as an Indicator of Synchronized ChaoticRegimes, Int. J. Bifur. and Chaos, Vol. 10, No. 10 (2000), 2323–2337.

39. W. B. Tsai, W. W. Lin, and C. C. Chieng, Computation of EnhancedTurbulent Heat Transfer in a Channel with Periodic Ribs, Int. J. ofNum. Method for Heat & Fluid, Vol. 10, No. 1 (2000), 47–66.

40. C. Juang, T. M. Hwang, J. Juang, and W. W. Lin, Optical ChaoticAM Demodulation by Asymptotic Synchronization, IEEE PhotonicTech. Letters, Vol. 12, No. 2 (2000), 179–181.

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41. C. Juang, T. M. Hwang, J. Juang, and W. W. Lin, A SynchronizationScheme Using Self-Pulsating Laser Diodes in Optical Chaotic Commu-nication, IEEE J. Quantum Electronics, Vol. 36, No. 3 (2000),300–304.

42. C. H. Chiu, W. W. Lin, and C. C. Peng, Asymptotic Synchronizationin Lattices of Coupled Nonidentical Lorenz Equations, Int. J. Bifur.and Chaos, Vol. 10, No. 12 (2000), 2717–2728.

43. W. W. Lin, C. S. Wang, and Q. F. Xu, Numerical Computation ofthe Minimal H∞ Norm of the Discrete-Time Output Feedback ControlProblem, SIAM Num. Anal., Vol. 38, No. 2 (2000), 515–547.

44. J. Juang, S. S. Lin, S. F. Shieh, and W. W. Lin, The Spatial Entropyof Two-Dimensional Subshifts of Finite Type, Int. J. Bifur. andChaos, Vol. 10, No. 12 (2000), 2845–2852.

45. C. H. Chiu, W. W. Lin, and C. C. Peng, Asymptotic Synchronizationin Lattices of Coupled Three-Dimension Nonlinear Chaotic Equations,J. Math. Anal. Appl., Vol. 250, No. 1 (2000), 222–244.

46. C. H. Chiu, W. W. Lin, and C. S. Wang, Synchronization in Lat-tices of Coupled Oscillators with Various Boundary Conditions, Non-lin. Anal. Theory, Methods Appl., Vol. 46 (2001), 213–229.

47. W. W. Lin, Q. F. Xu, and F. B. Yeh, Invariant Subspace Approachto Linear H∞-Control Via Measurement Feedback, Annals of O. R.,Vol. 103 (2001), 379–388.

48. S. M. Chang, W. W. Lin, and T. C. Lin, Chaotic and Quasiperi-odic Motions of Three Planar Charged Particles, Int. J. Bifur. andChaos, Vol. 11, No. 7 (2001), 1937–1951.

49. W. R. Ferng, W. W. Lin, D. Pierce, and C. S. Wang, NonequivalenceTransformation of λ-Matrix Eigenproblems and Model Embedding Ap-proach to Model Tuning, Num. Lin. Alg. Appl., Vol. 8, No. 1 (2001),53–70.

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50. S. T. Huang, T. M. Hwang, C. Juang, J. Juang, and W. W. Lin, FMDetection from an Optical Chaotic Carrier, Japan J. Appl. Physics,Vol. 40 (2001), 4549–4551.

51. C. Juang, C. C. Huang, T. M. Hwang, J. Juang, andW. W. Lin, Opto-electronic Delayed-Feedback and Chaos in Quantum-Well Laser Diodes,Optics Communications, Vol. 192 (2001), 77–81.

52. W.Wang, T. M. Hwang, C. Juang, J. Juang, C. Y. Liu, andW. W. Lin,Chaotic Behaviors of Bistable Laser Diodes and its Application in Syn-chronization of Optical Communication, Japan J. Appl. Physics,Vol. 40, No. 10 (2001), 5914-5919.

53. W. W. Lin and J. G. Sun, Perturbation Analysis for the Eigenproblemof Periodic Matrix Pairs, Lin. Alg. Appl., Vol. 337 (2001), 157–187.

54. W. B. Tsai, W. W. Lin, and C. C. Chieng, Convergence Accelerationby Varying Time-Step Size Using Bi-CGSTAB Method for TurbulentFlow Computation, Num. Methods for PDE, Vol. 17 (2001), 454–474.

55. J. Juang, W. W. Lin, and S. F. Shieh, Eigenvalue Problems for One-Dimensional Discrete Schrodinger Operators with Symmetric BoundaryConditions, SIAM Matrix Anal. Appl., Vol. 23, No. 2 (2001), 524–533.

56. W. B. Tsai, W. W. Lin, and C. C. Chieng, Convergence Accelerationby Self-Adjusted Time Stepsize Using Bi-CGSTAB Method for turbu-lent Separated Flow Computation, Int. J. Num. Method in Fluids,Vol. 39 (2002), 141–159.

57. M. C. Lai, W. W. Lin, and W. Wang, A Fast Spectral/DifferenceMethod without Pole Conditions for Poisson-Type Equations in Cylin-drical and Spherical Geometries, IMA J. Num. Anal., Vol. 22, No. 4(2002), 537–548.

58. S. M. Chang, W. W. Lin, and T. C. Lin, Dynamics of Vortices in Two-Dimensional Bose-Einstein condensates, Int. J. Bifur. and Chaos,Vol. 12, No. 4 (2002), 739–764.

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59. W. W. Lin and C. C. Peng, Chaotic Synchronization in Lattice ofPartial-State Coupled of Lorenz Equations, Physica D, Vol. 166, No. 2(2002), 29–42.

60. W. W. Lin and J. G. Sun, Perturbation Analysis of the PeriodicDiscrete-Time Algebraic Riccati Equation, SIAMMatrix Anal. Appl.,Vol. 24, No. 2 (2002), 411–438.

61. W. W. Lin and Y. Q. Wang, Chaotic Synchronization in CoupledMap Lattices with Periodic Boundary Conditions, SIAM Appl. Dyn.Systems, Vol. 1, No. 2 (2002), 175–189.

62. J. Juang, K. Y. Lin, and W. W. Lin, Spectral Analysis of Some It-erations in the Chandrasekhar’s H-Functions, Numer. Func. Anal.Opt., Vol. 24, No. 5-6 (2003), 575–586.

63. T. M. Hwang, W. W. Lin, and V. Mehrmann, Numerical Solutionof Quadratic Eigenvalue Problems with Structure-Preserving Methods,SIAM Sci. Comp., Vol. 24, No. 4 (2003), 1283–1302.

64. W. Wang, T. M. Hwang, W. W. Lin, and J. L. Liu, Numerical Meth-ods for Semiconductor Heterostructures with Band Nonparabolicity, J.Comp. Physics, Vol. 190 (2003), 141–158.

65. C. Juang, S. T. Huang, C. Y. Liu, W. C. Wang, T. M. Hwang, J. Juang,and W. W. Lin, Subcarrier Multiplexing by Chaotic Multitone Mod-ulation, IEEE J. Quantum Electronics, Vol. 39, No. 10 (2003),1321–1326.

66. S. H. Chou, S. He, and W. W. Lin, Conservative Flux Recovery fromthe Q1 Conforming Finite Element Method on Quadrilateral Grids,Num. Methods for PDE, Vol. 20, No. 1 (2004), 104–127.

67. E. K. W. Chu and W. W. Lin, Perturbation of Eigenvalues for Pe-riodic Matrix Pairs via the Bauer-Fike Theorems, Lin. Alg. Appl.,Vol. 378 (2004), 183–202.

68. W. W. Lin and S. F. Shieh, Eigenvalue Problems of a Two-DimensionalSchrodinger Operator with Nonparabolic Effective Mass, J. Math. Physics,Vol. 45, No. 2 (2004), 576–584.

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69. W. W. Lin and J. N. Wang, Partial Pole Assignment for the VibratingSystem with Aerodynamic Effect, Num. Lin. Alg. Appl., Vol. 11,No. 1 (2004), 41–58.

70. T. M. Hwang, W. W. Lin, W. C. Wang, and W. Wang, NumericalSimulation of Three Dimensional Pyramid Quantum Dot, J. Comp.Physics, Vol. 196 (2004), 208–232.

71. M. T. Chu, Y. C. Kuo, and W. W. Lin, On Inverse Quadratic Eigen-value Problems with Partially Prescribed Eigenstructure, SIAM Ma-trix Anal. Appl., Vol. 25, No. 4 (2004), 995–1020.

72. Y. C. Kuo, W. W. Lin, and S. F. Xu, Regularization of LinearDiscrete-Time Periodic Descriptor Systems by Derivative and Propor-tional State Feedback, SIAM Matrix Anal. Appl., Vol. 25, No. 4(2004), 1046–1073.

73. E. K. W. Chu, H. Y. Fan, W. W. Lin, and C. S. Wang, Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equa-tions, Int. J. Control, Vol. 77, No. 8 (2004), 767–788.

74. S. M. Chang, C. S. Lin, T. C. Lin, and W. W. Lin, Segregated NodalDomains of Two-Dimensional Multispecies Bose-Einstein Condensates,Physica D, Vol. 196, Issues 3-4 (2004), 341–361.

75. J. N. Wang, S. H. Chou, Y. C. Chen, and W. W. Lin, Pole Assign-ment for a Vibrating System with Aerodynamic Effect, SIAM ControlOptim., Vol. 42, No. 6 (2004), 2116–2129.

76. H. Y. Fan, W. W. Lin, and P. Van Dooren, Normwise Scaling of Sec-ond Order Polynomial Matrices, SIAM Matrix Anal. Appl., Vol. 26,No. 1 (2004), 252–256.

77. T. M. Hwang, W. W. Lin, J. L. Liu, and W. Wang, Fixed-Point Meth-ods for a Semiconductor Quantum Dot Model, Math. and ComputerModelling, Vol. 40 (2004), 519–533.

78. S. S. Lin, W. W. Lin, and T. H. Yang, Bifurcations and Chaos inTwo-Cell Cellular Neural Networks with Periodic Inputs, Int. J. Bifur.and Chaos, Vol. 14, No. 9 (2004), 3179–3204.

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79. C. Juang, S. M. Chang, N. K. Hu, Charleson Lee, and W. W. Lin,Laser Chaos Induced by Delayed-Feedback and External Modulation,Japan J. Appl. Physics, Vol. 44, No. 11 (2005), 7827–7831.

80. S. M. Chang, W. W. Lin, and S. F. Shieh, Gauss-Seidel-type Methodsfor Energy States of a Multi-Component Bose-Einstein Condensate, J.Comp. Physics, Vol. 202, Issue 1 (2005), 367–390.

81. E. K. W. Chu, H. Y. Fan, and W. W. Lin, A Structure-PreservingDoubling Algorithm for Continuous-Time Algebraic Riccati Equations,Lin. Alg. Appl., Vol. 396 (2005), 55–80.

82. C. S. Hsiao, W. W. Lin, and L. Wang, A Closed-Form Solution forWave Propagation in Optical Waveguides of Longitudinally InvariantStructures without Using Beam Propagation Algorithm, J. ModernOptics, Vol. 52, No. 9 (2005), 1341–1353.

83. S. M. Chang, Y. C. Kuo, W. W. Lin, and S. F. Shieh, A ContinuationBSOR-Lanczos-Galerkin Method for Positive Bound States of a Multi-Component Bose-Einstein Condensate, J. Comp. Physics, Vol. 210(2005), 439–458.

84. Y. C. Kuo,W. W. Lin, and S. F. Shieh, Bifurcation Analysis of a Two-Component Bose-Einstein Condensate, Physica D,Vol. 211, No. 3-4(2005), 311–346.

85. T. M. Hwang, W. W. Lin, J. L. Liu, and W. Wang, Jacobi-DavidsonMethods for Cubic Eigenvalue Problems, Num. Lin. Alg. Appl.,Vol. 12 (2005), 605–624.

86. T. M. Hwang, E. K. W. Chu, andW. W. Lin, A Generalized Structure-Preserving Doubling Algorithm for Generalized Discrete-Time Alge-braic Riccati Equations, Int. J. Control, Vol. 78, No. 14 (2005),1063-1075.

87. Y. C. Kuo, W. W. Lin, and S. F. Xu, New Model Correcting Methodfor Quadratic Eigenvalue Problems Using Symmetric EigenstructureAssignment, AIAA Journal, Vol. 43, No. 12 (2005), 2593–2598.

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88. H. Y. Fan, W. W. Lin and S. F. Xu, Pole assignment in descriptorperiodic systems, Sci. China Ser. A., Vol. 48, No. 10 (2005), 1309–1332.

89. W. W. Lin and J. N. Wang, Partial Pole Assignment for the QuadraticPencil by Output Feedback Control with Feedback Designs, Num. Lin.Alg. Appl., Vol. 12 (2005), 967–979.

90. W. W. Lin, S. F. Shieh, and Y. Q. Wang, Synchronization and Asyn-chronization in a Lattice of Coupled Lorenz-Type Maps, Int. J. Bifur.and Chaos, Vol. 16, No. 2 (2006), 269–280.

91. J. B. Carvalho, B. N. Datta, W. W. Lin, and C. S. Wang, SymmetryPreserving Eigenvalue Embedding in Finite-Element Model Updating ofVibrating Structures, J. Sound and Vibration, Vol. 290(3-5) (2006),839–864.

92. W. W. Lin and S. F. Xu, Convergence Analysis of Structure-PreservingDoubling Algorithms for Riccati-Type Matrix Equations,SIAM Ma-trix Anal. Appl., Vol. 28, No. 1 (2006), 26–39.

93. Y. C. Kuo, W. W. Lin, and S. F. Xu, New Methods for Finite Ele-ment Model Updating Problems, AIAA Journal, Vol. 44, No. 6 (2006),1310–1316.

94. X. X. Guo, W. W. Lin, and S. F. Xu, A Structure-Preserving Dou-bling Algorithm for Nonsymmetric Algebraic Riccati Equation,Numer.Math., Vol. 103, Issue 3 (2006), 393–412.

95. D. L. Chu, W. W. Lin, and R. C. E. Tan, A Numerical Method fora Generalized Algebraic Riccati Equation, SIAM Control Optim.,Vol. 45, No. 4 (2006), 1222–1250.

96. Y. C. Kuo, W. W. Lin, and S. F. Xu, Solutions of the Partially De-scribed Inverse Quadratic Eigenvalue Problem, SIAM Matrix Anal.Appl., Vol. 29, No. 1 (2006), 33–53.

97. B. N. Datta, W. W. Lin, and J. N. Wang, Robust Partial Pole Assign-ment for Vibrating Systems with Aerodynamic Effects, IEEE Trans.Auto. Control, Vol. 51, Issue 12 (2006), 1979–1984.

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98. M. T. Chu, W. W. Lin, and S. F. Xu, Updating Quadratic Models withNo Spillover Effect on Unmeasured Spectral Data, Inverse Problems,Vol. 23, Issue 1 (2007), 243–256.

99. E. K. W. Chu, H. Y. Fan, and W. W. Lin, Projected GeneralizedDiscrete-Time Periodic Lyapunov Equations and Balanced Realizationof Periodic Descriptor Systems, SIAM Matrix Anal. Appl., Vol. 29,No. 3 (2007), 982–1006.

100. J. Qian and W. W. Lin, A Numerical Method for Quadratic Eigen-value Problems of Gyroscopic Systems, J. Sound and Vibration,Vol. 306, No. 1-2 (2007), 284–296.

101. M. T. Chu, B. N. Datta, W. W. Lin, and S. F. Xu, Spillover Phe-nomenon in Quadratic Model Updating, AIAA Journal, Vol. 46, No. 2(2008), 420–428.

102. E. K. W. Chu, T. M. Hwang, W. W. Lin and C. T. Wu, Vibra-tion of Fast Trains, Palindromic Eigenvalue Problems and Structure-Preserving Doubling Algorithms, J. Comp. Appl. Math., Vol. 219,No. 1 (2008), 237–252.

103. C. S. Hsiao, Y. J. Chiang, L. Wang and W. W. Lin, A Semi-AnalyticMethod for Solving Rib-Type Waveguide Problems, J. Modern Op-tics, Vol. 55, No. 8 (2008), 1315–1329.

104. S. L. Chen, S. M. Chang,W. W. Lin and T. T. Hwang, Digital Secure-Communication Using Robust Hyper-Chaotic Systems, Int. J. Bifur.and Chaos, Vol. 18, No. 11 (2008), 3325–3339.

105. E. K. W. Chu, W. W. Lin and C. S. Wang, Perturbation ResultsRelated to Palindromic Eigenvalue Problems, ANZIAM J., Vol. 50,No. 1 (2008), 87–100.

106. S. M. Chang, M. C. Li andW. W. Lin, Asymptotic Synchronization ofModified Logistic Hyper-Chaotic Systems and its Applications, Nonlin.Anal. Real World Appl., Vol. 10, Issue 2 (2009), 869–880.

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107. T. M. Hwang, and W. W. Lin, Structured Doubling Algorithms forWeakly Stabilizing Hermitian Solutions of Algebraic Riccati Equations,Lin. Alg. Appl., Vol. 430 (2009), 1452–1478.

108. Y. F. Cai, Y. C. Kuo, W. W. Lin and S. F. Xu, Solutions to aQuadratic Inverse Eigenvalue Problem, Lin. Alg. Appl., Vol. 430(2009), 1590–1606.

109. T. M. Hwang, W. W. Lin and J. Qian, Structure-Preserving Algo-rithms for Palindromic Quadratic Eigenvalue Problems Arising fromVibration of Fast Trains, SIAM Matrix Anal. Appl., Vol. 30, No. 4(2009), 1566–1592.

110. C. Y. Chiang, E. K. W. Chu, C. H. Guo, T. M. Huang, W. W. Linand S. F. Xu, Convergence Analysis of the Doubling Algorithm for Sev-eral Nonlinear Matrix Equations in the Critical Case, SIAM MatrixAnal. Appl., Vol. 31, No. 2 (2009), 227–247.

111. D. Chu, M. Chu and W. W. Lin, Quadratic Model Updating withSymmetry, Positive Definiteness, and No Spill-Over, SIAM MatrixAnal. Appl., Vol. 31, No. 2 (2009), 546–564.

112. Y. C. Kuo, W. W. Lin, S. F. Shieh and W. Wang, A Minimal En-ergy Tracking Method for Non-radially Symmetric Solutions of Cou-pled Nonlinear Schrodinger Equations, J. Comp. Physics, Vol. 228,No. 21 (2009), 7941–7956.

113. W. W. Lin, C. C. Peng, and Y. Q. Wang, Chaotic Synchronizationin Lattices of Two-Variable Maps Coupled with One-Variable, IMA J.Appl. Math., Vol. 74, No. 6 (2009), 827–850.

114. C. H. Guo and W. W. Lin, Convergence Rate of Some Iterative Meth-ods for Nonsymmetric Algebraic Riccati Equations Arising in TransportTheory, Lin. Alg. Appl., Vol. 432, No. 1 (2010), 283–291.

115. T. Li, E. K. W. Chu, andW. W. Lin, A Structure-Preserving DoublingAlgorithm for Quadratic Eigenvalue Problems Arising from Time-DelaySystems, J. Comp. Appl. Math., Vol. 233 (2010), 1733–1745.

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116. Y. C. Kuo, W. W. Lin, S. F. Shieh and W. Wang, A Hyperplane-Constrained Continuation Method for Near Singularity in Coupled Non-linear Schrodinger Equations, Appl. Num. Math., Vol. 60 (2010),513–526.

117. R. C. Li, W. W. Lin and C. S. Wang, Structured Backward Errorfor Palindromic Polynomial Eigenvalue Problems, Numer. Math.,Vol. 116, No. 1 (2010), 95–122.

118. T. M. Huang, W. J. Chang, Y. L. Huang, W. W. Lin, W. C. WangandW. Wang, Preconditioning Bandgap Eigenvalue Problems in Three-Dimensional Photonic Crystals Simulations, J. Comp. Physics, Vol. 229,No. 23 (2010), 8684–8703.

119. C. H. Guo and W. W. Lin, The Matrix Equation X + ATX−1A = Q

and its Application in Nano Research, SIAM Sci. Comp., Vol. 5(2010), 3020–3038.

120. C. H. Guo and W. W. Lin, Solving a Structured Quadratic Eigen-value Problem by a Structure-Preserving Doubling Algorithm, SIAMMatrix Anal. Appl., Vol. 31, No. 5 (2010), 2784–2801.

121. S. L. Chen, T. T. Hwang, S. M. Chang and W. W. Lin,A Fast DigitalChaotic Generator for Secure Communication, Int. J. Bifur. andChaos, Vol. 20, No. 12 (2010), 3969–3987.

122. S. L. Chen, T. T. Huang and W. W. Lin, Randomness EnhancementUsing Digitalized Modified-Logistic Map, IEEE Trans. Circuits &Systems, Vol. 57, No. 12 (2010), 996–1000.

123. C. Y. Chiang, E. K. W. Chu, and W. W. Lin, A Note on GoldenMeans, Nonlinear Matrix Equations and Structured Doubling Algo-rithms, Taiwanese J. Math., Vol. 114 (2010), 955–972.

124. T. Li, E. K. W. Chu, J. Juang and W. W. Lin, Solution of a Nonsym-metric Algebraic Riccati Equation from a Two-Dimensional TransportModel, Lin. Alg. Appl., Vol. 434 (2011), 201–214.

125. S. H. Chou, T. M. Huang, W. Q. Huang and W. W. Lin, EfficientArnoldi-Type Algorithms for Rational Eigenvalue Problems Arising in

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Fluid–Solid Systems, J. Comp. Physics, Vol. 230, No. 5 (2011),2189–2206.

126. Y. C. Kuo, W. W. Lin, S. F. Shieh andW. Wang, Exploring Bistabilityin Rotating Bose-Einstein Condensates by a Quotient TransformationInvariant Continuation Method, Physica D, Vol. 240 (2011), 78–88.

127. T. Li, C. Y. Chiang, E. K. W. Chu and W. W. Lin, The PalindromicGeneralized Eigenvalue Problem A∗x = λAx : Numerical Solution andApplications, Lin. Alg. Appl., Vol. 434, No. 11 (2011), 2269–2284.

128. W. W. Lin and Y. Q. Wang, Proof of Synchronized Chaotic Behaviorsin Coupled Map Lattices, Int. J. Bifur. and Chaos, Vol. 21, No. 5(2011), 1493–1500.

129. E. K. W. Chu, H. Y. Fan, Z. Jia, T. Li and W. W. Lin, The Rayleigh-Ritz Method, Refinement and Arnoldi Process for Periodic Matrix Pairs,J. Comp. Appl. Math., Vol. 235, No. 8 (2011), 2626–2639.

130. C. H. Guo, Y.C. Kuo and W. W. Lin, Complex Symmetric StabilizingSolution of the Matrix Equation X+A⊤X−1A = Q, Lin. Alg. Appl.,Vol. 435 (2011), 1187–1192.

131. T. M. Huang, W. W. Lin and W. S. Su, Palindromic Quadratizationand Structure-Preserving Algorithm for Palindromic Matrix Polynomi-als of Even Degree, Numer. Math., Vol. 118, No. 4 (2011), 713–735.

132. T. Li, E. K. W. Chu, J. Juang, W. W. Lin, Solution of a Nonsym-metric Algebraic Riccati Equation from a One-Dimensional Multi-StateTransport Model, IMA J. Num. Anal., Vol. 31 No. 4 (2011), 1453–1467.

133. E. K. W. Chu, T. M. Huang and W. W. Lin, Structured DoublingAlgorithm for Solving g-Palindromic Quadratic Eigenvalue Problems,AMS/IP Studies in Adv. Math., Vol. 51 (2012), 645–661.

134. C. Y. Chiang, E. K. W. Chu, and W. W. Lin, On the ∗ -SylvesterEquation AX ± X∗B∗ = C, Appl. Math. Comp., Vol. 218 (2012),8393–8407.

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135. Y. T. Li, Z. Bai, W. W. Lin and Y. Su, A Structured Quasi-ArnoldiProcedure for Model Order Reduction of Second-order Systems, Lin.Alg. Appl., Vol. 436, No. 8 (2012), 2780–2794.

136. C. H. Guo, Y. C. Kuo and W. W. Lin, On a Nonlinear Matrix Equa-tion Arising in Nano Research, SIAM Matrix Anal. Appl., Vol. 33(2012), 235–262.

137. C. H. Guo, Y. C. Kuo and W. W. Lin, On Numerical Solutions ofNonlinear Matrix Equations Arising from Green’s Function Calculationin Nano Research, J. Comp. Appl. Math., Vol. 236 (2012), 4166–4180.

138. M. C. Lai, W. F. Hu and W. W. Lin, A Fractional Step ImmersedBoundary Method for Stokes Flow with an Inextensible Interface En-closing a Solid Particle, SIAM Sci. Comp., Vol. 34, No. 5 (2012),692–710.

139. T. L. Lee, S. S. Lin, W. W. Lin, S. T. Yau and J. Zhu, PolynomialCalculations in Doppler Tracking, Commun. Inf. System, Vol. 12,No. 2 (2012), 157–184.

140. T. Li, E. K. W. Chu, W. W. Lin and C. Y. Weng. Solving Large-ScaleContinuous-Time Algebraic Riccati Equations by Doubling, J. Comp.Appl. Math., Vol. 237 (2013), 373–383.

141. T. M. Huang, T. Li, W. W. Lin and C. T. Wu, Numerical Studieson Structure-Preserving Algorithms for Surface Acoustic Wave Simu-lations, J. Comp. Appl. Math., Vol. 244 (2013), 140–154.

142. W. Q. Huang, T. Li, Y. T. Li and W. W. Lin, A SemiorthogonalGeneralized Arnoldi Method and Its Variations for Quadratic Eigen-value Problems, Num. Lin. Alg. Appl., Vol. 20, No. 2 (2013),259–280.

143. P. Weng, E. K. W. Chu, Y. C. Kuo and W. W. Lin, Solving Large-Scale Nonlinear Matrix Equations by Doubling, Lin. Alg. Appl.,Vol. 439, No. 4 (2013), 914–932.

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144. T. M. Huang, H. E. Hsieh, W. W. Lin and W. Wang, Matrix Rep-resentation of the Double-Curl Operator for Simulating Three Dimen-sional Photonic Crystals, Math. Comp. Modelling, Vol. 58, No. 1-2(2013), 379–392.

145. T. Li, C. Y. Weng, E. K. W. Chu and W. W. Lin, Large-scale Steinand Lyapunov Equations, Smith Method, and Applications,NumericalAlgorithm, Vol. 63, No. 4 (2013), 727-752.

146. T. M. Huang, H. E. Hsieh, W. W. Lin and W. Wang, Eigendecom-position of the Discrete Double-Curl Operator with Application to FastEigensolver for Three Dimensional Photonic Crystals, SIAM MatrixAnal. Appl., Vol. 34, No. 2 (2013), 369–391.

147. T. M. Huang, W. W. Lin and C. T. Wu, Structure-Preserving Arnoldi-Type Algorithm for Solving Eigenvalue Problems in Leaky Surface WavePropagation, Appl. Math. Computation, Vol. 219, No. 19 (2013),9947–9958.

148. T. Li, E. K. W. Chu, Y. C. Kuo and W. W. Lin, Solving Large-ScaleNonsymmetric Algebraic Riccati Equations by Doubling Algorithms,SIAM Matrix Anal. Appl., Vol. 34, No. 3 (2013), 1129–1147.

149. T. M. Huang, Z. Jia and W. W. Lin, On the Convergence of RitzPairs and Refined Ritz Vectors for Quadratic Eigenvalue Problems,BIT, Numer. Math., Vol. 53, No. 4 (2013), 941–958.

150. H. J. Kuo, W. W. Lin and C. T. Wang, New Solvers for Higher Di-mensional Poisson Equations by Reduced B-Splines, Num. Methodfor PDE, Vol. 30, No. 2 (2014), 393–405.

151. W. Q. Huang, X. D. Gu, T. M. Huang, S. S. Lin, W. W. Lin andS. T. Yau, High Performance Computing for Spherical Conformal andRiemann Mappings, Geom. Imag. Comput., Vol. 1, No. 2 (2014),223–258.

152. T. M. Huang, H. E. Hsieh, W. W. Lin and W. Wang, EigenvalueSolvers for Three Dimensional Photonic Crystals with Face-CenteredCubic Lattices, J. Comp. Appl. Math., Vol. 272, No. 2 (2014),350-361.

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153. W. Q. Huang, X. D. Gu,W. W. Lin and S. T. Yau, A Novel SymmetricSkew-Hamiltonian Isotropic Lanczos Algorithm for Spectral ConformalParameterizations, J. Sci. Comput., Vol. 61, No. 3 (2014), 558–583.

154. Y. C. Kuo, W. W. Lin and S. T. Yau, A Novel Efficient HomotopyContinuation Method in Tracking, Commun. Inf. System, Vol. 14,No. 1 (2014), 57–78.

155. M. H. Yueh, W. W. Lin and S. T. Yau, An Efficient Algorithm ofYau-Yau Method for Solving Nonlinear Filtering Problems, Commun.Inf. System, Vol. 14, No. 2 (2014), 111–134.

156. Y. L. Huang, T. M. Huang, W. W. Lin and W. C. Wang, A NullSpace Free Jacobi-Davidson Iteration for Maxwell’s Operator, SIAMSci. Comp., Vol. 37, No. 1 (2015), A1–A29.

157. R. L. Chen, H. E. Hsieh, T. M. Huang, W. W. Lin and W. Wang, Sin-gular Value Decompositions for Single-Curl Operators in Three-DimensionalMaxwell’s Equations for Complex Media, SIAMMatrix Anal. Appl.,Vol. 36, No. 1 (2015), 203–224.

158. T. Li, W. Q. Huang, W. W. Lin and J. Liu, On Spectral Analysisand a Novel Algorithm for Transmission Eigenvalue Problems, J. Sci.Comput., Vol. 64, No. 1 (2015), 83–108.

159. Z. Jia, W. W. Lin and C. S. Liu, A Positivity Inexact Noda Iterationfor Computing the Smallest Eigenpair of a Large Irreducible M-Matrix,Numer. Math., Vol. 130, No. 4 (2015), 645–679.

160. L. H. Zhang,W. W. Lin and R. C. Li, Backward Perturbation Analysisand Residual-Based Error Bounds for the Linear Response EigenvalueProblem, BIT Numer. Math., Vol. 55, No. 3 (2015), 869–896.

161. T. M. Huang, W. Q. Huang and W. W. Lin, A Robust Numerical Al-gorithm for Computing Maxwell’s Transmission Eigenvalue Problems,SIAM Sci. Comp., Vol. 37, No. 5 (2015), A2403–A2423.

162. T. M. Huang, W. Q. Huang, R. C. Li and W. W. Lin, A New Two-Phase Structure-Preserving Doubling Algorithm for Critically Singular

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M-Matrix Algebraic Riccati Equations, Num. Lin. Alg. Appl.,Vol. 23, No. 2 (2016), 291–313.

163. T. M. Huang, V. Mehrmann, and W. W. Lin, A Newton-Type Methodwith Non-equivalence Deflation for Nonlinear Eigenvalue Problems Aris-ing in Photonic Crystal Modeling, SIAM Sci. Comp., to appear,2016.

164. I. K. Liu, R. W. Pattinson, T. P. Billam, S. A. Gardiner, S. L. Cornish,T. M. Huang,W. W. Lin, S. C. Gou, N. G. Parker, and N. P. Proukakis,Stochastic Growth Dynamics and Composite Defects in Quenched Im-miscible Binary Condensates Phys. Rev. A, to appear, 2016.

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B. Others

1. T. M. Hwang, W. W. Lin, and D. Pierce, Measurable Insight forNonoptimal Column Selection, 1994.

2. W. R. Ferng, W. W. Lin, and C. S. Wang, A Structure-PreservingLanczos-type Algorithm with Application to Control Problems, 1997.

3. W. W. Lin, P. Van Dooren, and Q. F. Xu, Equivalent Characteriza-tions of Periodical Invariant Subspaces, 1998.

4. W. R. Ferng, W. W. Lin, and C. S. Wang, On Computing the StableDeflating Subspaces of Cyclic Symplectic Matrix Pairs, 1998.

5. T. M. Hwang, W. W. Lin, and D. Pierce, Why They Aren’t RRQR’s,1998.

6. S. S. Lin, W. H. Chen, W. W. Lin and T. T. Hwang, A Cluster-ing Based Linear Ordering Algorithm for K-Way Spectral Partitioning,1999.

7. W. W. Lin and C. S. Wang, A Structure Generalized Arnoldi Algo-rithm for Solving Large Sparse Symplectic Pencils, 2000.

8. W. W. Lin and C. C. Peng, Controlling Lorenz Chaotic Attractorusing generalized Coupled System, 2001.

9. W. W. Lin, V. Mehrmann, and C. S. Wang, Numerical Methods forModel Reduction and Optimal Control of Second Order Systems, 2001.

10. W. W. Lin, P. Van Dooren, and Q. F. Xu, Periodic Invariant Sub-spaces in Control, In Proc. of IFAC Workshop on Periodic Systemsand Control, Como, Italy, 21–25, 2001.

11. E. K. Chu, W. W. Lin, and C. S. Wang, Extension by Left-Inversefor Second-Order Systems , 2002.

12. M. T. Chu, T. M. Hwang, and W. W. Lin, A Novel Deflation Tech-nique for Solving Quadratic Eigenvalue Problems, 2005.

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13. E. K. W. Chu, H. Y. Fan, and W. W. Lin, Reachability and Observ-ability of Periodic Descriptor System, 2005.

14. C. Y. Chiang, H. Y. Fan and W. W. Lin, A Structured DoublingAlgorithms for Discrete-Time Algebraic Riccati Equations with SingularControl-Weighting Matrices, 2008.

15. E. K. W. Chu, W. W. Lin and C. S. Wang, Asymptotic Perturbationfor Palindromic Eigenvalue Problems, 2008.

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