A. Refereed Papers

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

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

  3. 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.

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

  5. 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.

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

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

  8. 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.

  9. 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.

  10. 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.

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

  12. 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.

  13. W. W. Lin and S. S. You, A Symplectic Acceleration Method for the solution of the Algebraic Riccati Equation 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 Relaxed Primal-Dual Path Following Algorithm for Convex Quadratic Programming, Mathematical Today, Vol. XII-A (1994), 115-144.

  15. 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.

  16. 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.

  17. 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.

  18. 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.

  19. 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.

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

  21. 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.

  22. 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.

  23. 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.

  24. 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.

  25. 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.

  26. 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.

  27. 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.

  28. 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.

  29. 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.

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

  31. 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.

  32. 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.

  33. 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.

  34. 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.

  35. 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.

  36. 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.

  37. 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.

  38. V. S. Afraimovich, W. W. Lin and N. F. Rulkov, Fractal Dimension for Poincaré Recurrences as an Indicator of Synchronized Chaotic Regimes, 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 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.

  40. 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.

  41. 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.

  42. 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.

  43. 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.

  44. 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.

  45. 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.

  46. 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.

  47. 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.

  48. 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.

  49. 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.

  50. 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.

  51. 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.

  52. 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.

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

  54. 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.

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

  56. 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.

  57. 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.

  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.

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

  60. 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.

  61. 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.

  62. 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.

  63. 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.

  64. 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.

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

  66. 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.

  67. 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.

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

  69. 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.

  70. 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.

  71. 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.

  72. 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.

  73. 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.

  74. 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.

  75. 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.

  76. 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.

  77. 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.

  78. 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.

  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 Methods for 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-Preserving Doubling 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 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.

  83. 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.

  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-Davidson Methods for Cubic Eigenvalue Problems, Num. Lin. Alg. Appl., Vol. 12 (2005), 605-624.

  86. 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.

  87. 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.

  88. 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.

  89. 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.

  90. 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.

  91. 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.

  92. 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.

  93. 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.

  94. 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.

  95. 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.

  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. 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.

  98. 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.

  99. 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.

  100. 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.

  101. M. T. Chu, B. N. Datta, W. W. Lin and S. F. Xu, Spillover Phenomenon 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, Vibration 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-Analytic Method for Solving Rib-Type Waveguide Problems, J. Modern Optics, 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 Results Related to Palindromic Eigenvalue Problems, ANZIAM J., Vol. 50, No. 1 (2008), 87-100.

  106. 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.

  107. 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.

  108. 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.

  109. 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.

  110. 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.

  111. 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.

  112. 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 Schrödinger Equations, J. Comp. Physics, Vol. 228, No. 21 (2009), 7941-7956.

  113. 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.

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

  115. T. 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. 223 (2010), 1799-1745.

  116. 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., 2010, Vol. 60 (2010), 513-526.

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

  118. 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, 2010, Vol. 229, No. 23 (2010), 8684-8703.

  119. C. H. Guo and W. W. Lin, The Matrix Equation $X+A^{T}X^{-1}A=Q$ 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 Eigenvalue Problem by a Structure-Preserving Doubling Algorithm, SIAM Matrix 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 Digital Chaotic Generator for Secure Communication, Int. J. Bifurcation Chaos, Vol. 20, No. 12 (2010), 3969–3987.

  122. S. L. Chen, T. T. Hwang and W. W. Lin, Randomness Enhancement Using Digitalized Modified-Logistic Map, IEEE Trans. Circuits & Systems, Vol. 57, Issue. 52 (2010), 996–1000.

  123. C. Y. Chiang, E. K. W. Chu and W. W. Lin, A Note on Golden Means, Nonlinear Matrx Equations and Structure Doubling Algorithms, Taiwanese J. Math., Vol. 114 (2010), 955–972.

  124. 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.

  125. 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.

  126. 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.

  127. 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 (2011), 2269-2284.

  128. W. W. Lin and Y. Q. Wang, Proof of Synchronized Chaotic Behaviors in Coupled Map Lattices, Int. J. Bifur. and Chaos, Vol. 21, Mo. 5 (2011), 1-8.

  129. T. Li, E. K. W. Chu, H. Y. Fan, Z. Jia and W. W. Lin, The Rayleigh-Ritz Method Re nement and Arnoldi Process for Periodic Matrix Pairs, J. Comp. Appl. Math., Vol. 31 (2011), 1453-1467.

  130. C. H. Guo, Y.C. Kuo and W. W. Lin, Complex Symmetric Stabilizing Solution of the Matrix Equation $X + X^{\top}X^{-1}A = Q$, Lin. Alg. Appl., Vol. 435 (2011), 1187-1192.

  131. 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.

  132. T. Li, E. K. W. Chu, J. Juang and W. W. Lin, Solution of a Nonsymmetric Algebraic Riccati Equation from a One-Dimensional Multi-State Transport Model, IMA J. Num. Anal., Vol. 31 (2011), 1453-1467.

  133. E. K. W. Chu, T. M. Huang and W. W. Lin, Structure Doubling Algorithm for Solving g-Parlindromic 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 *-Sylvester Equation AX±X*B*=C, Appl. Math. Comp., Vol. 218 (2012), 8393-8407.

  135. 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 (2012), 2780-2794.

  136. 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.

  137. 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.

  138. 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., 2012, to appear.

  139. T. Li, E. K. W. Chu, W. W. Lin and C. Y. Weng, Solving Large-Scale Continuous-Time Algebraic Riccati Equations by Doubling, J. Comp. Appl. Math., 2012, to appear.

  140. P. Weng, E. K. W. Chu, Y. C. Kuo and W. W. Lin, Solving Large-Scale nonlinear Matrix Equations by Doubling, Lin. Alg. Appl., 2012, to appear.

  141. 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, 2012, to appear.

  142. 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., 2012, to appear.



B. Others

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

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

  3. W. W. Lin, P. Van Dooren and Q. F. Xu, Equivalent Characterizations of Periodical Invariant Subspaces, NCTS Preprints Series 1998-8, Taiwan, 1998.

  4. W. R. Ferng, W. W. Lin and C. S. Wang, On Computing the Stable Deflating 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 Clustering Based Linear Ordering Algorithm for K-Way Spectral Partitioning, 1999.

  7. W. W. Lin and C. C. Peng, Controlling Lorenz Chaotic Attractor using generalized Coupled System, 2001.

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

  9. W. W. Lin and C. S. Wang, A Structure Generalized Arnoldi Algorithm for Solving Large Sparse Symplectic Pencils, 2000.

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

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

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

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

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

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

  16. T. Li, D. Chu and W. W. Lin, A Structure-Preserving Algorithm for Semi-Stabilizing Solutions of Generalized Algebraic Riccati Equations, 2009.

  17. T. M. Huang, Y. L. Huang, W. W. Lin and W. C. Wang, A Null Free Jacobi-Davidson Iteration for Maxwell's Operator, 2009.

  18. E. K. W. Chu, T. Li and W. W. Lin, Solving Large-Scale Algebraic Riccati Equations by Doubling Algorithms, 2011.

  19. 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, 2012.

  20. T. M. Huang, W. W. Lin and C. T. Wu, Structure-Preserving Arnoldi-Type Algorithm for Solving Eigenvalue Problems in Leaky Surface Wave Propagation, 2012.

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