Talks/Conferences :

1. "Breakdown Avoidance Structure-Preserving Doubling Algorithms for Matrix Riccati Equations", Invited talk, 中華民國數學年會, 中央大學, Jan 14~15, 2025.

2. "Structure-Preserving Doubling Algorithms for Nonlinear matrix equations", Invited talk, The 17-th East Asia SIAM Conference, Macao, June 28-July1, 2024.

3. ``Matrix Riccati Equations" Invited talk, 第32屆微分方程及相關領域年會, 清華大學, Dec. 16~17, 2023.

4. ``Structure-Preserving Doubling Algorithm that avoid breakdowns for nonlinear matrix equations" Invited talk, 10th International Congress on Industrial and Applied Mathematics, Tokyo, Aug. 21~26, 2023.

5. "The nonnegative least squares problem", Invited talk, 中華民國數學年會, 台灣大學, Jan., 17-18, 2022.

6. “A structure-preserving flow for computing Hamiltonian matrix exponential”, Invited talk, NCTS (Central Taiwan) Computational Mathematics Workshop, April 30, 2021, 中興大學.

7. "Continuation Methods for Optimization Problems", Invited talk,2019 中華民國數學年會, 中興大學, December, 7-8, 2019.

8. "A structure-preserving flow for computing Hamiltonian matrix exponential", Invited talk, The International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 15-17, 2019.

9. " Continuation methods for computing Z-/H-eigenpairs of nonnegative tensors", Invited talk, The 5-th Cross-straits Workshop on Computational Mathematics, 貴州﹒貴陽, August 3-7, 2018.

10. " Continuation methods for computing eigenpairs of nonnegative tensors", contributed talk, The 13-th  SIAM East Asian Section Conference, EASIAM 2018, Tokyo, June 22-25, 2018.

11. "Continuation methods for computing Eigenpairs of nonnegative tensors", 2017 中華民國數學年會, 嘉義大學, December, 9-10, 2017

12. "Continuation methods for computing Z-eigenpairs of nonnegative tensor", Invited speaker, 2017 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing. 台灣大學.March 10-11, 2017.

13. "The Asymptotic Analysis for Structure-Preserving Doubling Algorithms", contributed talk, The 11-th East Asia SIAM Conference, Macao, June 20-22, 2016.

14. "Structure-preserving flows for symplectic matrix pair", Invited speaker, Structured Matrices and Tensors: Analysis, Algorithms and Applications, 台灣大學, Dec. 8-11, 2014.

15. "Structure-preserving doubling algorithm for large-scale nonlinear matrix equations", Invited speaker, The 12th Conference of the International Linear Algebra Society, Seoul, Korea, Aug. 6-9, 2014.

16. “The Matrix Equation X+A^TX^{-1}A=Q and its Application in Nano Research”, Invited speaker, 2013 NCTS Workshop on Numerical Linear Algebra and High-Performance Computing, Dec. 9-12, 2013.

17. “Large-Scale Discrete-Time Algebraic Riccati Equations”, contributed talk, EASIAM-CIAM 2013, Bandung, West Java, Indonesia, June 18-20, 2013.

18. “Structure-preserving doubling algorithm for large-scale nonlinear matrix equations", Invited speaker, 2012中華民國數學年會, Dec. 7-9, 2012

19. “A structure-preserving doubling algorithm for large-scale nonlinear matrix equations", Invited speaker, The 2nd Cross-straits Workshop on Computational Mathematics, 中山大學, July 27-30, 2012.

20. Structure-preserving curve for symplectic pairs. Minisymposium: Structured solution of nonlinear matrix equations and applications, 2012 SIAM Conference on Applied Linear Algebra, Valencia, Spain, Jine 18-22, 2012

21. Complex symmetric stabilizing solution of the matrix equation X + X^{\top}X^{-1}A = Q, Invited speaker, The 12th Workshop on Computational Mathematics, 交通大學, April 22-23, 2011

22. “An Improvement of Continuation method in Rotating Bose-Einstein Condensates”, Invited speaker, The First Cross-straits Workshop on Computational Mathematics, 廈門大學, August 3-6, 2010.

23. “Solvability of regular pencils for quadratic inverse eigenvalue problem”, contributed talk, The 16th Conference of the International Linear Algebra Society, Pisa, Italy, June 21-25, 2010.

24. “A New Model Updating Method for Quadratic Eigenvalue Problems”, contributed talk, The 2009 International Conference of Applied and Engineering Mathematics, London, U.K., July 1-3, 2009.

25. “Solvability of regular pencils for quadratic inverse eigenvalue problems”, Invited speaker（2008 Taiwan-Japan Joint Workshop on Inverse Problem, 2008.11.29-12.1，中研院）

26. A continuation Method for positive bound state of a N coupled nonlinear Schrodinger equation.（6th International Congress on Industrial and Applied Mathematics, 2007.7.16-20，瑞士蘇黎世）

27. “A continuation method for positive solutions of N-coupled nonlinear Schrodinger equations”, Invited speaker, In Honor of Professor Tien-Yen Li Workshop in Applied Mathematics, National Center for Theoretical Sciences, Hsinchu, Dec. 21 & 28, 2006.

28. “A continuation method for solving positive bound state of N-coupled nonlinear Schrodinger equations”, Invited speaker, 第十五屆微分方程研討會, Dec. 22-24, 2006.

29. “Model Updating Method Problems”, contributed talk, 13Th Conference International Linear Algebraic Society, Amsterdam, July 18-21, 2006.

30. “A continuation method for solving multi-component Bose-Einstein condensate”, Invited speaker, International Symposium on Dynamical System and Numerical Analysis in honor of Tien-Yien Li's 60th Birthday, National Center for Theoretical Sciences, Hsinchu, May 10-12, 2005.

31. “Model Updating Method for Quadratic Eigenvalue Problem”, Invited speaker, 2005 Taiwan-Japan Joint Workshop on Numerical Analysis and Scientific Computation, Academia Sinica, Taipei, Nov. 3-6, 2005.

32. “New methods for Model Updating Problem”, Invited speaker, TMS & AMS Joint International Conference, Tunghai University, Taiwan, Dec. 14-18, 2005.

33. “Inverse Quadratic Eigenvalue Problems”, contributed talk, International Conference on Numerical Analysis and Applied Mathematics 2004, Chalkis, Greece, Sep. 2004.

34. “A Homotopy Continuation Method for Solving Multi-Component Bose-Einstein Condensate”, contributed talk, 2004數學學術研討會暨中華民國數學年會, Dec. 3-5, 2004.

35. “A Continuation BSOR-Lanczos-Galerkin Method for Solving Multi-Component Bose-Einstein Condensate”, contributed talk, International Congress of Chinese Mathematicians (ICCM2004), Hong Kong, Dec. 17-22, 2004.