学术论文：

1.  T. Li, W.-W. Lin, Y. Wang, and S.-T. Yau, Intermittent behaviors in weakly coupled map lattices, to appear in Anal. Theory & Appl., 2020.

2.  M.-H. Yueh, T. Li, W.-W. Lin, and S.-T. Yau, A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds, SIAM Imag. Sci., Vol 13, Issue 3, (2020), 1536-1564.

3.  W.-C. Chang, W.-W. Lin, and J.-N. Wang, Efficient Methods of Computing Interior Transmission Eigenvalues for the Elastic Waves, J. Comp. Phys., Vol 407, (2020), 109227.

4.  T.-M. Huang, T. Li, J.-W. Lin, W.-W. Lin, and H. Tian, Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals, J. Sci. Comput., Vol. 83, No. 35, (2020).

5.  M.-H. Yueh, X.-H. Huang, T. Li, W.-W. Lin, and S.-T. Yau, Optimal Surface Parametrization with Applications on Chinese Virtual Broadcasting, Elec. Trans. Num. Anal., Vol 53, (2020), 383-405.

6.  Y.-C. Kuo, W.-W. Lin, and S.-F. Shieh, A Structure Preserving Flow for Computing Hamiltonian Matrix Exponential, Numer. Math., Vol. 143, Issue 3, (2019), 555-582.

7.  T.-M. Huang, W.-W. Lin, H. Tsai, and W. Wang, Highly Efficient GPU Eigensolver for Three-Dimensional Photonic Crystal Band Structures with Any Bravais Lattice, Comp. Phys. Commun., Vol. 245, (2019), 106841.

8.  M.-H. Yueh, T. Li, W.-W. Lin, and S.-T. Yau, A Novel Algorithm for Volume-Preserving Parameterizations of Three-Manifolds, SIAM Imag. Sci., Vol 12, Issue 2, (2019), 1071-1098.

9.  T.-M. Huang, T. Li, R.-L. Chern, and W.-W. Lin, Electromagnetic Field Behavior of 3D Maxwell's Equation for Chiral Media, J. Comp. Phys. Vol 379, (2019), 118-131.

10. Z.-C. Guo, E.-K.-W. Chu, and W.-W. Lin, Doubling Algorithm for the Discretized Bethe-Salpeter Eigenvalue Problem, Math. Comp., Vol 88, (2019), 2325-2350.

11. W.-Q. Huang, W.-W. Lin, H.-S. Lu, and S.-T. Yau, iSIRA: Integrated Shift-Invert Residual Arnoldi Method for Graph Laplacian Matrices from Big Data, J. Comp. Appl. Math., Vol 346, (2019), 518-531.

12. S.-H. Chou, T.-M. Huang, T. Li, J.-W. Lin, and W.-W. Lin, A Finite Element Based Fast Eigensolver for Three Dimensional Anisotropic Photonic Crystals, J. Comp. Phys., Vol 386, (2019), 611-631.

13. M.-H Yueh, W.-W. Lin, C.-T. Wu, and S.-T. Yau, A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations, J. Sci. Comput., Vol 78, Issue 3, (2018), 1353-1386.

14. T. Li, T.-M Huang, W.-W. Lin, and J.-N. Wang, On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method, Inverse Problems and Imaging, Vol 12, No. 4 (2018), 1033-1054.

15. Y.-C. Kuo, W.-W. Lin, and C.-S. Liu, Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors, J. Comp. Appl. Math. Vol 340, No. 1 (2018), 71-88.

16. T.-M. Huang, W.-W. Lin, H. Tien, and G.-H. Chen, Computing the Full Spectrum of Large Sparse Palindromic Quadratic Eigenvalue Problems Arising from Surface Green's Function Calculations, J. Comp. Phys., Vol 356, (2018), 340–355.

17. Y.-C. Kuo, W.-W. Lin, and S.-F. Shieh, The Asymptotic Analysis of the Structure-Preserving Doubling Algorithms, Lin. Alg. Appl., Vol 531, (2017), pp318-355.

18. M.-H. Yueh, W.-W. Lin, C.-T. Wu, and S.-T. Yau, An efficient energy minimization for conformal parameterizations, J. Sci. Comput., Vol. 73, No. 1, (2017), 203-227.

19. T. Li, T.-M. Huang, W.-W. Lin, and J.-N. Wang, An Efficient Numerical Algorithm for Computing Densely Distributed Positive Interior Transmission Eigenvalues, Inverse Problems, Vol. 33, No. 3, (2017), 035009.

20. T. Li, R.-C. Li, and W.-W. Lin, A Symmetric Structure-Preserving Gamma-QR Algorithm for Linear Response Eigenvalue Problems, Lin. Alg. Appl., Vol. 520, (2017), 191-214.

21. C.-S. Liu, C.-H. Guo, and W.-W. Lin, Newton-Noda Iteration for finding the Perron Pair of a Weakly Irreducible Nonnegative Tensor, Numer. Math., Vol. 137, Issue. 1, (2017), 63-90.

22. L. Lu, T. Wang, Y.-C. Kuo, R.-C. Li, and W.-W. Lin, A Fast Algorithm for Fast Train Palindromic Quadratic Eigenvalue Problems, SIAM J. Sci. Comp., Vol. 38, No. 6, (2016), A3410-A3429.

23. T.-M. Huang, W.-W. Lin, and W. Wang, A Hybrid Jacobi-Davidson Method for Interior Cluster Eigenvalues with Large Null-Space in Three Dimensional Lossless Drude Dispersive Metallic Photonic Crystals, Comp. Phys. Commun., Vol. 207, (2016), 221–231.

24. Z. Bai, R.-C. Li, and W.-W. Lin, Linear Response Eigenvalue Problem Solved by Extended Locally Optimal Preconditioned Conjugate Gradient Methods, Sci. China Math., Vol. 59, No. 8, (2016), 1443–1460.

25.   C.-S. Liu, C.-H. Guo, and W.-W. Lin, A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Inreducible Nonnegative Third Order Tensor, SIAM Matrix Anal. Appl., Vol. 37, No. 3, (2016), 911–932.

26.   Y.-C. Kuo, W.-W. Lin, and S.-F. Shieh, Structure-Preserving Flows of Sympletic Matrix Pairs, SIAM Matrix Anal. Appl., Vol. 37, No. 3, (2016), 976–1001.

27.   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 Immiscible Binary Condensates, Phys. Rev. A. 93, 023628, (2016).

28.   T.-M. Huang, W.-W. Lin, and V. Mehrmann, A Newton-Type Method with Non-equivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling, SIAM Sci. Comp. Vol. 38, No. 2, (2016), B191-B218.

29.   T.-M. Huang, W.-Q. Huang, R.-C. Li W.-W. Lin, A New Two-Phase Structure-Preserving Doubling Algorithm for Critically Singular M-Matrix Algebraic Riccati Equations, Num. Lin. Alg. Appl. Vol. 23, No. 2, (2016), 291-313.

30.   T.-M. Huang, W.-Q. Huang and W.-W. Lin, A Robust Numerical Algorithm for Computing Maxwell's Transmission Eigenvalue Problems, SIAM Sci. Comp., Vol. 37, No. 5, (2015), A2403-2423.

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

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

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

34.   R.-L. Chern, H.-E. Hsieh, T.-M. Huang, W.-W. Lin and W. Wang, Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media, SIAM Matrix Anal. Appl., Vol. 36, No. 1, (2015), 203-224.

35.   Y.-L. Huang, T.-M. Huang, W.-W. Lin and W.-C. Wang, A Null Space Free Jacobi-Davidson Iteration for Maxwell's Operator, SIAM Sci. Comp., Vol. 37, No. 1, (2015), A1-A29.

36.   M.-H. Yueh, W.-W. Lin and S.-T. Yau, An Efficient Numerical Method for Solving High-Dimensional Nonlinear Filtering Problems, Commun. Inf. System, Vol. 14, No. 4, (2014), 243-262.

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

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

39.   W.-Q. Huang, X.D. Gu, W.-W. Lin and S.-T. Yau, A Novel Symmetric Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations, J. Sci. Comput., Vol.61, No. 3, (2014), 558-583.

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

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

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

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

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

45.   T.-M. Huang, W.-W. Lin and C.-T. Wu, Structure-Preserving ArnoldiType Algorithm for Solving Eigenvalue Problems in Leaky Surface Wave Propagation, Appl. Math. Computation, Vol. 219, No. 19, (2013), 9947-9958.

46.   T.-M. Huang, H.-E. Hsieh, W.-W. Lin and W. Wang, Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three Dimensional Photonic Crystals, SIAM Matrix Anal. Appl., Vol. 34, No. 2, (2013), 369-391.

47.   T. Li, P.C.-Y. Weng, E.K.-W. Chu and W.-W. Lin, Large-scale Stein and Lyapunov Equations, Smith Method, and Applications, Numerical Algorithm, Vol. 63, No. 4, (2013), 727-752.

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

49.   P.C.-Y. 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.

50.   W.-Q. Huang, T. Li, Y.-T. Li and W.-W. Lin, A Semiorthogonal Generalized Arnoldi Method and Its Variations for Quadratic Eigenvalue Problems, Num. Lin. Alg. Appl., Vol. 20, No. 2, (2013), 259-280.

51.   T.-M. Huang, T. Li, W.-W. Lin and C.-T. Wu, Numerical Studies on Structure-Preserving Algorithms for Surface Acoustic Wave Simulations, J. Comp. Appl. Math., Vol. 244, (2013), 140-154.

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

53.   T.-L. Lee, S.-S. Lin, W.-W. Lin, S.-T. Yau and U. Zhu, Polynomial Calculations in Doppler Tracking, Commun. Inf. System, Vol. 12, No. 2, (2012), 157-184.

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

55.   C.-H. Guo, Y.-C. Kuo and W.-W. Lin, On Numerical Solutions of Nonlinear Matrix Equations Arising from Green's Function Calculation in Nano Research, J. Comp. Appl. Math., Vol. 236 (2012), 4166- 4180.

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

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

58.   C.-Y. Chiang, E.K.-W. Chu, and W.-W. Lin, On the ê-Sylvester Equation AX ± = C, Appl. Math. Comp., Vol. 218, (2012), 8393-8407.

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

60.   T. Li, E.K.-W. Chu, J. Juang, W.-W. Lin, Solution of a Nonsymmetric Algebraic Riccati Equation from a One-Dimensional Multi-State Transport Model, IMA J. Num. Anal., Vol. 31 No. 4, (2011), 1453- 1467.

61.   T.-M. Huang, W.-W. Lin and W.-S. Su, Palindromic Quadratization and Structure-Preserving Algorithm for Palindromic Matrix Polynomials of Even Degree, Numer. Math., Vol. 118, No. 4, (2011), 713-735.

62.   C.-H. Guo, Y.-C. Kuo and W.-W. Lin, Complex Symmetric Stabilizing Solution of the Matrix Equation X + ATX-1A = Q, Lin. Alg. Appl., Vol. 435, (2011), 1187-1192.

63.   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.

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

65.   T. Li, C.-Y. Chiang, E.K.-W. Chu and W.-W. Lin, The Palindromic Generalized Eigenvalue Problem A*x= λAx: Numerical Solution and Applications, Lin. Alg. Appl., Vol. 434, No. 11, (2011), 2269-2284.

66.   Y.-C. Kuo, W.-W. Lin, S.-F. Shieh and W. Wang, Exploring Bistability in Rotating Bose-Einstein Condensates by a Quotient Transformation Invariant Continuation Method, Physica D, Vol. 240, (2011), 78-88.

67.   S.-H. Chou, T.-M. Huang, W.-Q. Huang and W.-W. Lin, Efficient Arnoldi-Type Algorithms for Rational Eigenvalue Problems Arising in Fluid-Solid Systems, J. Comp. Physics, Vol. 230, No. 5, (2011), 2189-2206.

68.   T. Li, E.K.-W. Chu, J. Juang and W.-W. Lin, Solution of a Nonsymmetric Algebraic Riccati Equation from a Two-Dimensional Transport Model, Lin. Alg. Appl., Vol. 434, (2011), 201-214.

69.   C.-Y. Chiang, E.K.-W. Chu, and W.-W. Lin, A Note on Golden Means, Nonlinear Matrix Equations and Structured Doubling Algorithms, Taiwanese J. Math., Vol. 114, (2010), 955-972.

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

71.   S.-L. Chen, T.T. Hwang, S.-M. Chang and W.-W. Lin, A Fast Digital Chaotic Generator for Secure Communication, Int. J. Bifur. and Chaos, Vol. 20, No. 12 (2010), 3969-3987.

72.   C.-H. Guo and W.-W. Lin, Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm, SIAM Matrix Anal. Appl., Vol. 31, No. 5 (2010), 2784-2801.

73.   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.

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

75.   R.-C. Li, W.-W. Lin and C.-S. Wang, Structured Backward Error for Palindromic Polynomial Eigenvalue Problems, Numer. Math., Vol. 116, No. 1 (2010), 95-122.

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

77.   T.-X. Li, E.K.-W. Chu, and W.-W. Lin, A Structure-Preserving Doubling Algorithm for Quadratic Eigenvalue Problems Arising from Time-Delay Systems, J. Comp. Appl. Math., Vol. 233 (2010), 1733-1745.

78.   C.-H. Guo and W.-W. Lin, Convergence Rate of Some Iterative Methods for Nonsymmetric Algebraic Riccati Equations Arising in Transport Theory, Lin. Alg. Appl., Vol. 432, No. 1 (2010), 283-291.

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

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

81.   D. Chu, M. Chu and W.-W. Lin, Quadratic Model Updating with Symmetry, Positive Definiteness,and No Spill-Over, SIAM Matrix Anal. Appl., Vol. 31, No. 2 (2009), 546-564.

82.   C.-Y. Chiang, E.K.-W. Chu, C.-H. Guo, T.-M. Huang, W.-W. Lin and S.-F. Xu, Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case, SIAM Matrix Anal. Appl., Vol. 31, No. 2 (2009), 227-247.

83.   T.-M. Hwang, W.-W. Lin and J. Qian, Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains, SIAM Matrix Anal. Appl., Vol. 30, No. 4 (2009), 1566-1592.

84.   Y.-F. Cai, Y.-C. Kuo, W.-W. Lin and S.-F. Xu, Solutions to a Quadratic Inverse Eigenvalue Problem, Lin. Alg. Appl., Vol. 430 (2009), 1590-1606.

85.   T.-M. Hwang, and W.-W. Lin, Structured Doubling Algorithms for Weakly Stabilizing Hermitian Solutions of Algebraic Riccati Equations, Lin. Alg. Appl., Vol. 430 (2009), 1452-1478.

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

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

88.   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.

89.   C.S. Hsiao, Y.J. Chiang, L. Wang and W.-W. Lin, A Semi-Analytic Method for Solving Rib-Type Waveguide Problems, J. Modern Optics, Vol. 55, No. 8 (2008), 1315-1329.

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

91.   M.T. Chu, Y.J. Chiang, W.-W. Lin, and S.-F. Xu, Spillover Phenomenon in Quadratic Model Updating, AIAA Journal, Vol. 46, No. 2 (2008), 420-428.

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

93.   E.K.-W. Chu, H.-Y. Fan, and W.-W. Lin, Projected Generalized Discrete-Time Periodic Lyapunov Equations and Balanced Realization of Periodic Descriptor Systems, SIAM Matrix Anal. Appl., Vol. 29, No. 3 (2007), 982-1006.

94.   M.T. Chu, W.-W. Lin, and S.-F. Xu, Updating Quadratic Models with No Spillover Effect on Unmeasured Spectral Data, Inverse Problems, Vol. 23, Issue 1 (2007), 243-256.

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

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

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

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

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

100. W.-W. Lin and S.-F. Xu, Convergence Analysis of Structure-Preserving Doubling Algorithms for Riccati-Type Matrix Equations, SIAM Matrix Anal. Appl., Vol. 28, No. 1 (2006), 26-39.

101. J.B. Carvalho, B.N.Datta, W.-W. Lin, and C.-S. Wang, Symmetry Preserving Eigenvalue Embedding in Finite-Element Model Updating of Vibrating Structures, J. Sound and Vibration,Vol. 290 (3-5) (2006), 839-864.

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

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

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

105. Y.-C. Kuo, W.-W. Lin, and S.-F. Xu, New Model Correcting Method for Quadratic Eigenvalue Problems Using Symmetric Eigenstructure Assignment, AIAA Journal, Vol. 43, No. 12 (2005), 2593-2598.

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

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

108. 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.

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

110. C.-S. Hsiao, W.-W. Lin, and L. Wang, A Closed-Form Solution for Wave Propagation in Optical Waveguides of Longitudinally Invariant Structures without Using Beam Propagation Algorithm, J. Modern Optics, Vol. 52, No. 9 (2005), 1341-1353.

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

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

113. 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.

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

115. T.-M. Hwang, W.-W. Lin, J.-L. Liu, and W. Wang, Fixed-Point Methods for a Semiconductor Quantum Dot Model, Math. and Computer Modelling, Vol. 40 (2004), 519-533.

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

117. J.N. Wang, S.H. Chou, Y.C. Chen, and W.W. Lin, Pole Assignment for a Vibrating System with Aerodynamic Effect, SIAM Control Optim., Vol. 42, No. 6 (2004), 2116-2129.

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

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

120. Y.-C. Kuo, W.-W. Lin, and S.-F. Xu, Regularization of Linear Discrete-Time Periodic Descriptor Systems by Derivative and Proportional State Feedback, SIAM Matrix Anal. Appl., Vol. 25, No. 4 (2004), 1046-1073.

121. M.T. Chu, Y.-C. Kuo, and W.-W. Lin, On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure, SIAM Matrix Anal. Appl., Vol. 25, No. 4 (2004), 995-1020.

122. T.-M. Hwang, W.-W. Lin, W.-C. Wang, and W. Wang, Numerical Simulation of Three Dimensional Pyramid Quantum Dot, J. Comp. Physics, Vol. 196 (2004), 208-232.

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

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

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

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

127. 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 Modulation, IEEE J. Quantum Electronics, Vol. 39, No. 10 (2003), 1321-1326.

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

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

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

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

132. W.-W. Lin and J.-G. Sun, Perturbation Analysis of the Periodic Discrete-Time Algebraic Riccati Equation, SIAM Matrix Anal. Appl., Vol. 24, No. 2 (2002), 411-438.

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

134. 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.

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

136. W.B. Tsai, W.W. Lin, and C.C. Chieng, Convergence Acceleration by Self-Adjusted Time Stepsize Using Bi-CGSTAB Method for turbulent Separated Flow Computation, Int. J. Num. Method in Fluids, Vol. 39 (2002), 141-159.

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

138. W.B. Tsai, W.W. Lin, and C.C. Chieng, Convergence Acceleration by Varying Time-Step Size Using Bi-CGSTAB Method for Turbulent Flow Computation, Num. Methods for PDE, Vol. 17 (2001), 454- 474.

139. W.-W. Lin and J.-G. Sun, Perturbation Analysis for the Eigenproblem of Periodic Matrix Pairs, Lin. Alg. Appl., Vol. 337 (2001), 157-187.

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

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

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

143. W.R. Ferng, W.-W. Lin, D. Pierce, and C.-S. Wang, Nonequivalence Transformation of λ-Matrix Eigenproblems and Model Embedding Approach to Model Tuning, Num. Lin. Alg. Appl., Vol. 8, No. 1 (2001), 53-70.

144. S.-M. Chang, W.-W. Lin, and T.-C. Lin, Chaotic and Quasiperiodic Motions of Three Planar Charged Particles, Int. J. Bifur. and Chaos, Vol. 11, No. 7 (2001), 1937-1951.

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

146. C.-H. Chiu, W.-W. Lin, and C.-S. Wang, Synchronization in Lattices of Coupled Oscillators with Various Boundary Conditions, Nonlin. Anal. Theory, Methods Appl., Vol. 46 (2001), 213-229.

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

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

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

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

151. C. Juang, T.-M. Hwang, J. Juang, and W.-W. Lin, A Synchronization Scheme Using Self-Pulsating Laser Diodes in Optical Chaotic Communication, IEEE J. Quantum Electronics, Vol. 36, No. 3 (2000), 300-304.

152. C. Juang, T.-M. Hwang, J. Juang, and W.-W. Lin, Optical Chaotic AM Demodulation by Asymptotic Synchronization, IEEE Photonic Tech. Letters, Vol. 12, No. 2 (2000), 179-181.

153. W.B. Tsai, W.W. Lin, and C.C. Chieng, Computation of Enhanced Turbulent Heat Transfer in a Channel with Periodic Ribs, Int. J. of Num. Method for Heat & Fluid, Vol. 10, No. 1 (2000), 47-66.

154. V.S. Afraimovich, W.-W. Lin, and N.F. Rulkov, Fractal Dimension for Poincare Recurrences as an Indicator of Synchronized Chaotic Regimes, Int. J. Bifur. and Chaos, Vol. 10, No. 10 (2000), 2323- 2337.

155. C.-H. Hsu, J. Juang, S.-S. Lin, and W.-W. Lin, Cellular Neural Networks: Local Patterns for General Templates, Int. J. Bifur. and Chaos, Vol. 10, No. 7 (2000), 1645-1659.

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

157. W.-W. Lin, V. Mehrmann, and H.G. Xu, Canonical Forms for Hamiltonian and Symplectic Matrices and Pencils,Lin. Alg. Appl., Vol. 302-303 (1999), 469-533.

158. W.-W. Lin, C.-C. Peng, and C.-S. Wang, Synchronization in Coupled Map Lattices with Periodic Boundary Condition, Int. J. Bifur. and Chaos, Vol. 9, No. 8 (1999), 1635-1652.

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

160. C.-H. Hu, W.-W. Lin, and Y.W.-H. Liu, Calculation of Flux Perturbations with a Davidson-type Algorithm, Trans. Amer. Nuclear Soc., Vol. 131 (1999), 370-386.

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

162. W.R. Ferng, W.-W. Lin, and C.-S. Wang, Numerical Algorithms for Undamped Gyroscopic Systems, Comp. Math. Appl., Vol. 37 (1999), 49-66.

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

164. V.S. Afraimovich and W.-W. Lin, Synchronization in Lattices of Coupled Oscillators with Neumann/Periodic Boundary Conditions, Dynamics and Stability of Systems, Vol. 13, No. 3 (1998), 237-264.

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

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

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

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

169. W.-W. Lin and C.-S. Wang, On Computing Stable Lagrangian Subspaces of Hamiltonian Matrices and Symplectic Pencils, SIAM Matrix Anal. Appl., Vol. 18, No. 3 (1997), 590-614.

170. W.R. Ferng, K.-Y. Lin, and W.-W. Lin, A Novel Nonsymmetric K_-Lanczos Algorithm for the Generalized Nonsymmetric K_-Eigenvalue Problems, Lin. Alg. Appl., Vol. 252 (1997), 81-105.

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

172. T.-M. Hwang, W.-W. Lin, and D. Pierce, Improved Bound for Rank Revealing LU Factorizations, Lin. Alg. Appl., Vol. 261 (1997), 173- 186.

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

174. J.-S. Guo, W.-W. Lin, and C.-S. Wang, Nonequivalence Deflation for the Solution of Matrix Latent Value Problems, Lin. Alg. Appl., Vol. 231 (1995), 15-45.

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

176. J.-S. Guo, W.-W. Lin, and C.-S. Wang, Numerical Solutions for Large Sparse Quadratic Eigenvalue Problems, Lin. Alg. Appl., Vol. 225 (1995), 57-89.

177. W.-W. Lin, C.-S. Wang, and C.-H. Han, Continuation Methods for Solving Modified Discrete-Time Algebraic Riccati Equations, IEEE Trans. Auto. Control, Vol. 40, No. 5 (1995), 920-924.

178. T.-M. Hwang, C.-H. Lin, W.-W. Lin, and S.-C. Fang, A Relaxed Primal-Dual Path Following Algorithm for Convex Quadratic Programming, Mathematical Today, Vol. XII-A (1994), 115-144.

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

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

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

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

183. C.W. Chen and W.-W. Lin, An Acceleration Method for Computing the Generalized Eigenvalue Problem on a Parallel Computer, Lin. Alg. Appl., Vol. 146 (1991), 49-65.

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

185. D.C. Dzeng and W.W. Lin, HMDR and FMDR Algorithm for the Generalized Eigenvalue Problem, Lin. Alg. Appl., Vol. 112 (1989), 169-187.

186. W.-W. Lin, An SDR Algorithm for the Solution of the Generalized Algebraic Riccati Equation, IEEE Trans. Auto. Control, Vol. 34 (1989), 875-879.

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

188. W.-W. Lin, The Computation of the Kronecker Canonical Form of an Arbitrary Symmetric Pencil, Lin. Alg. Appl., Vol. 103 (1988), 47-71.

189. W.-W. Lin, A New Method for Computing the Closed Loop Eigenvalues of a Discrete-Time Algebraic Riccati Equation, Lin. Alg. Appl., Vol. 96 (1987), 157-180.

190. W.-W. Lin, An Algorithm for Computing the Eigenstructure of a Regular Matrix Polynomial, Lin. Alg. Appl., Vol. 91 (1987), 195-211.

191. W.-W. Lin, On Reducing infinite Eigenvalues of Regular Pencils by a Nonequivalence Transformation, Lin. Alg. Appl., Vol. 78 (1986), 207-231.

出版专著：

1. Tsung-Ming Huang, Ren-Cang Li, and Wen-Wei Lin, Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations, Fundamentals of Algorithms, SIAM, 2018.