Soon-Yi Wu     

     Professor
     Department of Mathematics
     National Cheng Kung University
     Tainan, Taiwan 70101
     Phone: +886-6-2757575 轉 65133
     Fax: +886-6-2743191
     E-mail: soonyi[at]mail.ncku.edu.tw
     Office: Room 307, Mathematics Building
     Office hours:

Teaching

Research Interest 

Functional Analysis, Linear Programming, Optimization

Publication and preprints

  1. S. Y. Wu (1985), The General Capacity Problem, Methods of Operations Research, edited by W. Oettli et. Oelgeschlager, Gunn and Hain, 49, 329-344.
  2. E. J. Anderson, A. S. Lewis, and S. Y. Wu (1989), The Capacity Problem, Optimization, A Journal of Mathematical Programming and Operations Research, 20, 725-742.
  3. S. Y. Wu and Y. J. Chen (1990), The Separated Continuous Linear Programming Problem, Soochow Journal of Mathematics, 16, 69-79.
  4. E. J. Anderson and S. Y. Wu (1991), The Continuous Complementarity Problem, Optimization, A Journal of Mathematical Programming and Operations Research, 22, 419-426.
  5. H. C. Lai and S. Y. Wu (1992), Extremal Points and Optimal Solutions for General Capacity Problems, Mathematical programming, Series A, 54, 87-113.
  6. S. Y. Wu (1992), Extremal Points and An Algorithm for A Class of Continuous Transportation Problems, Journal of Information and Optimization Sciences, 13, 97-106.
  7. H. C. Lai and S. Y. Wu (1992), On Linear Semi-Infinite Programming Problems An Algorithm, Numerical Functional Analysis and Optimization, 13, 287-304.
  8. H. C. Lai and S. Y. Wu (1994), Theory and Algorithm for Measure Programming Problems, Proceedings of the Second International Colloquim on Numerical Analysis, D. Bainov etc. eds, 45-64.
  9. S. C. Fang and S. Y. Wu (1994), An Inexact Approach to Solving Linear Semi-Infinite Programming Problems, Optimization, A Journal of Mathematical Programming and Operations Research, 28, 291-299.
  10. H. C. Lai and S. Y. Wu (1994), Linear Programming in Measure Spaces, Optimization, A Journal of Mathematical Programming and Operations Research, 29, 141-156.
  11. C. J. Lin, S.C. Fang, and S. Y. Wu (1994), A Dual Affine Scaling Based Algorithm for Solving Linear Semi-Infinite Programming Problems, Advances in Optimization and Approximation, Du, D.J. and J. Sun, eds. Kluwer academic publishers, 217-234.
  12. C. J. Lin, S. C. Fang, and S. Y. Wu (1994), On Solving Convex Quadratic Semi-Infinite Programming Problems, Optimization, A Journal of Mathematical Programming and Operations Research, 31, 107-125.
  13. S. C. Fang and S. Y. Wu (1994), An Entropy Path-following Approach for Linear Semi-Infinite Programming, Mathematical Today Vol. XII-A, 1-12.
  14. R. L. Sheu, S. Y. Wu, and S. C. Fang (1995), A Primal-Dual Infeasible Interior Point Algorithm for Linear Semi-Infinite Programming, Computers and Mathematics with applications, 29, 7-18.
  15. C. J. Lin, E. K. Yang, S. C. Fang, and S. Y. Wu (1995), Implementation of An Inexact Approach to Solving Linear Semi-Infinite Programming Problems, Journal of computational and applied mathematics, 61, 87-103.
  16. R. L. Sheu and S. Y. Wu (1996), A Primal-Dual Approach for Quadratic Semi-Infinite Programming, Proceedings of the International Mathematics Conference 1994, Kaohsiung, Taiwan, World Scientific Publishing Company, 179-188.
  17. S. Y. Wu, J. S. Pang, and J. C. Yao (1996), An Inexact Algorithm for Continuous Complementarity Problem on Measure Spaces, Journal of Optimization Theory and Applications, Vol. 91, 141--154.
  18. C. J. Lin, S. C. Fang, and S. Y. Wu (1996), On the Parametric Linear Semi-Infinite Programming, Applied Mathematics Letters, Vol. 9, 89-96.
  19. S. C. Fang and S. Y. Wu (1996), Solving Min-Max Problems and Linear Semi-Infinite Programs, Computers Math. Appl., Vol. 32, 87-93.
  20. T. Y. Ho, Y. Y. Lur, and S. Y. Wu (1997), The Difference between Finite Dimensional Linear Programming Problems and Infinite Dimensional Linear Programming Problems, Journal of Mathematical Analysis and Applications, 207, 192-205.
  21. C. J. Lin, S. C. Fang, and S. Y. Wu (1998), An Unconstrained Convex Programming Approach for Linear Semi-Infinite Programming, SIAM Journal on Optimization, Vol. 8, 443-456.
  22. S. Y. Wu, S. C. Fang and C. J. Lin (1998), Relaxed Cutting Plane Method for Solving Linear Semi-Infinite Programming Problems, Journal of Optimization Theory and Applications, Vol. 99, 759-779.
  23. R. L. Sheu and S. Y. Wu (1999), A Combined Entropic-Regularization and Path-Following Method for Solving Finite Convex Min-Max Problems Subject to Infinitely Many Linear Constraints, Journal of Optimization Theory and Applications, Vol. 101, 167--190.
  24. S. C. Fang, H. F. Wan, S. Y. Wu, and C.F. Hu (1999), Linear Programmin with Fuzzy Coefficients in Constraints, Computers and Mathematics with Applications, Vol. 37, 63--76.
  25. S. Y. Wu and S. C. Fang (1999), Solving Convex Programs with Infinitely Many Linear Constraints by a Relaxed Cutting Plane Method, Computers and Mathematics with Applications, Vol. 38, 23--34.
  26. S. Y. Wu, S. C. Fang, and C.J. Lin (2001), Solving General Capacity Problem by Relaxed Cutting Plane Approach, Annals of Operations Research, Vol. 103, 193-211.
  27. S. Y. Wu, S. C. Fang, and C. J. Lin (2001), Solving Quadratic Semi-Infinite Programming Problems by Using Relaxed Cutting Plane Scheme, Journal of Computational and Applied Mathematics, 129, 89--104.
  28. S. Y. Wu, S. C. Fang, and C. J. Lin (2001), Analytic Center Based Cutting Plane Method for Linear Semi-Infinite Programming, Semi-Infinite Programming: Recent Advance, edited by M. Goberna and M. Lopez, Kluwer Academic Publishers, 221-233.
  29. M. A. Goberna, M. A. Lopez, and S. Y. Wu (2001), Separation by Hyperplanes: A Linear Semi-Infinite Programming Approach, Semi-Infinite Programming: Recent Advance, edited by M. Goberna and M. Lopez, Kluwer Academic Publishers, 255-269.
  30. S. Y. Wu (2001), A Cutting Plane Approach to Solving Quadratic Infinite Programs on Measure Spaces, Journal of Global Optimization, Vol. 21, 67-87.
  31. Q. H. Ansari, A. H. Siddiqi, and S. Y. Wu (2001), Existence and Duality of Generalized Vector Equilibrium Problems, J. Math. Anal. Appl. Vol. 259, 115-126.
  32. S. Y. Wu, X. Q. Yang, and J. C. Yao (2001), Relaxed Inexact Algorithm for Continuous Complementarity Problems on Measure Spaces, Journal of Optimization Theory and Applications, Vol. 111, 659-668.
  33. G. M. Jan, R. L. Sheu, and S. Y. Wu (2003), Maximum Feasibility Problem for Continuous Linear Inequalities, Fuzzy Optimization and Decision Making, Vol.2, 297-316.
  34. L. Qi, S. Y. Wu, and G. Zhou (2003), Semismooth Newton Methods for Solving Semi-Infinite Programming Problems, Journal of Global Optimization, Vol. 27, 215-232.
  35. D. H. Li, L. Qi, J. Tam and S. Y. Wu (2004), A Smoothing Newton Method for Semi-Infinite Programming, Journal of Global Optimization, Vol. 30, 169-194.
  36. C. F. Wen and S. Y. Wu (2004), Duality Theorems and Algorithms for Linear Programming in Measure Spaces, Journal of Global Optimization, Vol. 30, 207-233.
  37. S. J. Li, X. Q. Yang, K. L. Teo, and S. Y. Wu (2004), A Solution Method for Combined Semi-Infinite and Semi-Definite Programming, The Australian New Zealand Industrial and Applied Mathematics Journal, Vol. 45, 477-494.
  38. Z. L. Wu and S. Y. Wu (2004), Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces, SIAM Journal on Optimization, Vol. 14, 1011-1027.
  39. S. C. Fang, S. Y. Wu, and J. Sun (2004), An Analytic Center Cutting Plane Method for Solving Semi-Infinite Variational Inequality Problems, Journal of Global Optimization, Vol. 28,141-152.
  40. C. F. Wen and S. Y. Wu (2005), An Approximation Approach for Linear Programming in Measure Spaces, Optimization and Control with Applications, edited by L. Qi, etc. Springer Publishers. 331-350.
  41. Y. Liu, K. L. Teo, and S. Y. Wu (2005), An New Quadratic Semi-Infinite Programming Algorithm Based on Dual Parameterization, Journal of Global Optimization, Vol. 29, 401-413.
  42. S. Y. Wu, D. H. Li, L. Qi, and G. Zhou (2005), An Iterative Method for Solving KKT System of the Semi-Infinite Programming, Optimization Methods and Software, Vol. 20, 629-643.
  43. Abdul Khaliq and S. Y. Wu (2005), Variational-like Inequalities and Gap Functions, Nonlinear Analysis Forum, Vol. 10, 1-11.
  44. Y. C. Liou, J. C. Yao, and S. Y. Wu (2005), Bilevel Decision with Generalized Semi-Infinite Optimization for Fuzzy Mappings as Lower Level Problems, Fuzzy Optimization and Decision Making, Vol. 4, 41-50.
  45. L. C. Zeng, Q. H. Ansari, and S. Y. Wu,(2006) Strong Convergence Theorems of Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities, Taiwanese Journal of Mathematics, Vol. 10, 13-29.
  46. L. C. Zeng, S. Y. Wu, and J. C. Yao (2006) Generalized KKM Theorem with Applications to Generalized Minimax Inequalities and Generalized Equilibrium Problems, Taiwanese Journal of Mathematics, Vol. 10, 1497-1514.
  47. S. J. Li, K. L. Teo, X. Q. Yang, and S. Y. Wu (2006), Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems, Journal of Global Optimization, Vol.34, 427-440.
  48. S. J. Li, S. Y. Wu, X. Q. Yang, and K. L. Teo (2006), A Relaxed Cutting Plane Method for Semi-Infinite Semi-Definite Programming, Journal of Computational and Applied Mathematics,Vol.196, 459-473.
  49. C. Ling, L. Qi, G. Zhou, and S. Y. Wu (2006), Global Convergence of A Robust Smoothing SQP Method for Semi-Infinite Programming, Journal of Optimization Theory and Applications,Vol.129, 147-164.
  50. Z. L. Wu and S. Y. Wu (2006), Characterizations of the Solution Sets of Convex Programs and Variational Inequality Problems, Journal of Optimization Theory and Application, Vol.130, 341-360.
  51. S. C. Fang, S. Y. Wu, and S. I. Birbil, (2007) Solving Variational Inequalities Defined on A Domain with Infinitely Many Linear Constraints, Computational Optimization and Applications, Vol. 37, 67-81.
  52. Z. Wan, S. Y. Wu, and K. L. Teo, (2007) Some Properties on Quadratic Infinite Programs of Integral Type, Applied Mathematics Letters, Vol. 20, 676-680.
  53. S. J. Li, K. L. Teo, X. Q. Yang, and S. Y. Wu (2007), Robust Envelope-Constrained Filter with Orthonormal Bases and Semi-Definite and Semi-Infinite Programming, Optimization and Engineering, Vol. 8, 299-319.
  54. S. Y. Chen and S. Y. Wu (2008), Algorithms for Infinite Quadratic Programming in Lp Spaces, Journal of Computational and Applied Mathematics, Vol. 213, 408-422.
  55. S. C. Fang, David Y. Gao, R. L. Sheu, and S. Y. Wu (2008), Canonical Dual Approach to Solving 0-1 Quadratic Programming Problems, Journal of Industrial and Management Optimization, Vol. 4, 125-142.
  56. Z. L. Wu and S. Y. Wu (2008), Gateaux Differentiability of the Dual Gap Function of a Variational Inequality, European Journal of Operational Research, Vol. 190, 328-344.
  57. J. Ye and S. Y. Wu (2008), First Order Optimality Conditions for Generalized Semi-Infinite Programming problems, Journal of Optimization Theory and Applications, Vol. 137, 419-434.
  58. S. Y. Chen and S. Y. Wu (2008), An Algorithm for Semi-Infinite Transportation Problems, Journal of Computational and Applied Mathematics, Vol. 217, 365-380.
  59. N. J. Huang, J. Li, and S. Y. Wu (2008), Gap Functions for a System of Generalized Vector Quasi-Equilibrium Problems with Set-Valued Mappings, Journal of Global Optimization, Vol.41, 401-415.
  60. K. Kimura, Y. C. Liou, S. Y. Wu, and J. C. Yao (2008), Well-Posedness for Parametric Vector Equilibrium Problems with Applications, Journal of Industrial and Management Optimization, Vol. 4, 313-327.
  61. L. C. Ceng, S. Y. Wu, and J. C. Yao (2008), New Accuracy Criteria for Modified Approximate Proximal Point Algorithms in Hilbert Spaces, Taiwanese Journal of Mathematics, Vol. 12(7), 1691-1705.
  62. L. C. Ceng, A. Petrusel, and S. Y. Wu (2008), On Hybrid Proximal-type Algorithms in Banach Spaces, Taiwanese Journal of Mathematics, Vol.12(8), 2009-2029.
  63. S. J. Li, C. R. Chen, and S. Y. Wu (2009), Conjugate Dual Problems in Constrained Set-Valued Optimization and Applications, European Journal of Operational Research, Vol. 196, 21-32.
  64. N. J. Huang, J. Li, and S. Y. Wu (2009), Optimality Conditions for Vector Optimization Problems, Journal of Optimization Theory and Application, Vol. 142, 323-342.
  65. L. P. Zhang and S. Y. Wu (2009), An Algorithm Based on the Generalized D-Gap Function for Equilibrium Problems, Journal of Computational and Applied Mathematics, Vol. 231, 403-411.
  66. L. P. Zhang and S. Y. Wu (2009), Improved Smoothing Newton Methods for $P_0$ Nonlinear Complementarity Problems, Applied Mathematics and Computation, Vol. 215, 324-332.
  67. J. C. Zhou, C. Y. Wang, and N. H. Xiu, and S. Y. Wu (2009), First- Order Optimality Conditions for Convex Semi-Infinite Min-Max Programming with Noncompact Sets, Journal of Industrial and Management Optimization, Vol. 5, 851-866.
  68. J. W. Peng and S. Y. Wu (2009), A New Approximation Scheme Combining the Viscosity Method with Extragradient Method for Mixed Equilibrium Problems, Fixed Point Theory and Applications, Vol. 2009.
  69. S. Hayashi and S. Y. Wu (2009), An Explicit Exchange Algorithm for Linear Semi-Infinite Programming Problem with Second-order Cone Constraint, SIAM Journal on Optimization, Vol. 20, 1527-1546.
  70. S. Ito, S. Y. Wu, T. J. Shiu, and K. L. Teo (2010), A Numerical Approach to Infinite-Dimensional Linear Programming in L1 Spaces, Journal of Industrial and Management Optimization, Vol. 6, 15-28.
  71. M. Lpez, S. Y. Wu, C. Ling, and L. Qi (2010), A Mathematical Programming Approach to Strong Separation in Normed Spaces, Journal of Convex Analysis, Vol. 17, 211-227.
  72. X. J. Tong, S. Y. Wu, and R. J. Zhou (2010), New Approach for the Nonlinear Programming with Transient Stability Constraints Arising from Power Systems, Computational Optimization and Applications, Vol. 45, 495-520.
  73. C. Ling, Q. Ni, L. Qi, and S. Y. Wu (2010), A New Smoothing Newton-Type Algorithm for Semi-Infinite Programming, Journal of Global Optimization, Vol. 47, 133-159.
  74. L.P. Zhang, S. Y. Wu and S.C. Fang (2010), Convergence and Error Bound of a D-gap Function Based Newton-Type Algorithm for Equilibrium Problems, Journal of Industrial and Management Optimization, Vol. 6, 333-346.
  75. J. W. Peng, S. Y. Wu, and J. C. Yao (2010), A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed- Point Problems, and Variational Inequalities, Abstract and Applied Analysis, Vol. 2010, Article ID 428293, 27 pages.
  76. L. P. Zhang, S. Y. Wu and M. A. Lopez (2010), A New Exchange Method for Convex Semi-Infinite Programming, SIAM Journal on Optimization, Vol. 20, 2959-2977.
  77. J. W. Peng and S. Y. Wu (2010), The Generalized Tykhonov Well- Posedness for System of Vector Quasi-Equilibrium Problems, Optimization Letters, Vol. 4, 501-512.
  78. L. P. Zhang and S. Y. Wu (2010), Robust Solutions to Euclidean Facility Location Problems with Uncertain Data, Journal of Industrial and Management Optimization, Vol. 6, 751-760.
  79. J. W. Peng, S. Y. Wu and G. L. Fan (2011), A Hybrid-Extragradient Scheme for System of Equilibrium Problems, Nonexpansive Mappings and Monotone Mappings, Fixed Point Theory and Applications, Vol. 2011, Article ID 232163, 15 pages.
  80. L. P. Zhang and S. Y. Wu (2011), A New Approach to the Weighted Peak- Constrained Least-Square Error FIR Digital Filter Optimal Design Problem, Computational Optimization and Applications, Vol. 50, 445-461.
  81. J. W. Peng and S. Y. Wu (2011), The Well-Posedness for Multiobjective Generalized Games, Journal of Optimization Theory and Applications, Vol. 150, 416-423.
  82. J. W. Peng, Y. Wang, and S. Y. Wu (2011), Levitin-Polyak Well-Posedness of Generalized Vector Equilibrium Problems, Taiwanese Journal of Mathematics, Vol. 15, 2311-2330.
  83. X. J. Tong, L. Qi, and S. Y. Wu (2012), A Smoothing SQP Method for Nonlinear Programs with Stability Constraints Arising from Power Systems, Computational Optimization and Applications, Vol. 51, 175-197.
  84. J. W. Peng, S. Y. Wu, and Y. Wang (2012), Levitin-Polyak Well-Posedness of Generalized Vector Quasi-Equilibrium Problems with Functional Constraints, Journal of Global Optimization, Vol. 52, 779-795.
  85. J. W. Peng, Y. Wang, and S. Y. Wu (2012), Levitin-Polyak Well-Posedness for Vector Quasi-Equilibrium Problems with Functional Constraints, Taiwanese Journal of Mathematics, Vol. 16, 635-649.
  86. G. L. Zhou, L. Caccetta, K. L. Teo, and S. Y. Wu (2012), Nonnegative Polynomial Optimization over Unit Spheres and Convex Programming Relaxations, SIAM Journal on Optimization, Vol. 22, 987-1008.
  87. T. J. Shiu and S.Y. Wu (2012), Relaxed Cutting Plane Method with Convexification for Solving Nonlinear Semi-Infinite Programming Problems, Computational Optimization and Applications, Vol. 53, 91-113.
  88. X. J. Long, J. W. Peng, and S. Y. Wu (2012), Generalized Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems, Optimization, Vol. 61, 1075-1086.
  89. X. J. Tong, C. Ling, S. Y. Wu and L. Qi (2012), A Generalized Semi-Infinite Programming Method for Solving Optimal Power Flow with Transient Stability and Variable Clearing Time of Faults, to appear in Journal of Global Optimization.
  90. Y. H. Xiao, S. Y. Wu, and D. H. Li (2012), Splitting and Linearizing Augmented Lagrangian Algorithm for Subspace Recovery from Corrupted Observations, to appear in Advances in Computational Mathematics.
  91. Y. H. Xiao, H. Zhu, and S. Y. Wu (2012), Primal and Dual Alternating Direction Algorithm for 1–1–Norm Minimization Problems in Compressive Sensing, to appear in Computational Optimization and Applications.
  92. K. F. C. Yiu, M. J. Gao, T. J. Shiu, and S. Y. Wu, T. Tran and I. Claesson (2012), An Fast Algorithm for the Optimal Design of High Accuracy Windows in Signal Processing, to appear in Optimization Methods and Software.
  93. L. P. Zhang, S. C. Fang, and S. Y. Wu (2012), An Entropy-Based Central Cutting Plane Algorithm for Convex Min-Max Semi-Infinite Programming Problems, to appear in SCIENCE CHINA Mathematics.

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