JIN Xiao Qing  金小慶 Professor Head of Department of Mathematics

9/1978-8/1982	B.Sc., Department of Mathematics, Nanjing Normal University, Nanjing, China.
9/1984-8/1986	M.Phil., Department of Mathematics, Chinese University of Hong Kong, Hong Kong. Thesis Adviser: Dr. W.L. Chan.
8/1989-7/1992	Ph.D., Department of Mathematics, University of Hong Kong, Hong Kong. Thesis Adviser: Prof. Raymond H.F. Chan.
4-6/1995	Postdoctorate fellow, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.

9/1982-8/1984	Teacher, Nanjing Teacher's College, Nanjing, China.
8/1985-7/1986	Teaching Assistant (part time), Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
8/1989-7/1992	Demonstrator (part time), Department of Mathematics, University of Hong Kong, Hong Kong.
2/1992-3/1994	Lecturer, Faculty of Science and Technology, University of Macau, Macao.
4/1994-8/2000	Assistant Professor, Faculty of Science and Technology, University of Macau, Macao.
9/2000-6/2005	Associate Professor, Department of Mathematics, University of Macau, Macao.
7/2005-8/2011	Professor, Department of Mathematics, University of Macau, Macao.
9/2011-now	Professor and Head of Department of Mathematics, University of Macau, Macao.

6/1994	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
8/1995	Visiting Scholar, Department of Mathematics, University of California at Los Angeles, U.S.A.
9/1995	Visiting Scholar, Department of Mathematics, Universidade Federal do Parana, Curitiba, Brazil.
8/1996	Visiting Scholar, Institute of Applied Mathematics, The Chinese Academy of Sciences, Beijing, China.
5/1997	Research Collaborator, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
6/1998	Research Collaborator, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
6/1999	Research Collaborator, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
8/1999	Visiting Scholar, Department of Mathematics, University of California at Los Angeles, U.S.A.
6/2000	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
7/2000	Visiting Scholar, Department of Mathematics, University of California at Los Angeles, U.S.A.
12/2000	K. C.Wong Visiting Professor, Department of Mathematics, Zhejiang University, and Department of Applied Mathematics, Shanghai Jiaotong University, China.
6/2001	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
1,6/2002	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
8/2002	Visiting Scholar, Department of Mathematics, University of Hong Kong, Hong Kong.
1,8/2003	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
8/2003	Visiting Scholar, Department of Mathematics, University of Hong Kong, Hong Kong.
1/2004	Visiting Scholar, Department of Mathematics, University of Hong Kong, Hong Kong.
7/2004	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
7/2005	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
8/2005	Visiting Scholar, Department of Mathematics, University of California at Los Angeles, U.S.A.
6,7/2006	Visiting Scholar, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.
6/2007	Visiting Professor, Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan.
6/2008	High-Level Visiting Scholar, Department of Mathematics, Fudan University, Shanghai, China.
9/2010	Visiting Professor, Department of Mathematics, South China Normal University, Guangzhou, China.
10/2010	Visiting Professor, Department of Mathematics, Xuzhou Normal University, Xuzhou, China.
11/2010	Visiting Professor, Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan.
12/2010	High-Level Visiting Scholar, Department of Mathematics, Fudan University, Shanghai, China.
12/2010	Visiting Scholar, Department of Mathematics, Zhejiang University, Hangzhou, China.
5/2011	Visiting Professor, Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan.
6/2011	Visiting Professor, Department of Mathematics, National Taiwan University, Taipei, Taiwan.
6/2011	High-Level Visiting Scholar, Department of Mathematics, Fudan University, Shanghai, China.
12/2011	Visiting Professor, Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung; Department of Mathematics, National Chung Cheng Universiy, Chiayi; Department of Mathematics, National Taiwan University, Taipei, Taiwan.
12/2011	Visiting Scholar, Department of Mathematics, Xiamen University, Xiamen, China.
12/2012	Visiting scholar, Department of Mathematics, Sun Yat-sen University, Guangzhou, China.

8/1990	The Asian Mathematical Conference, Speaker, Hong Kong.
5/1991	The National Congress on Computational Mathematics, Speaker, Tianjin, China.
7/1994	The Sixth International Congress on Computational and Applied Mathematics, Speaker, Leuven, Belgium.
8/1995	The XVIII National Congress of Computational and Applied Mathematics, Invited Speaker, Curitiba, Brazil.
8/1996	The Conference on Scientific Computing and Application of Computer in South China, Invited Speaker, Shantou, China.
3/1997	Workshop on Scientific Computing 97, Speaker, Hong Kong.
7/1997	SIAM 45th Anniversary Meeting, Symposium Organizer and Speaker, Stanford, USA.
6/1998	International Conference on Partial Di®erential Equations and Numerical Analysis, Invited Speaker, Beijing, China.
12/1998	Symposium on Development of Industry and Applied Mathematics in Guangdong, Hong Kong and Macao, Invited Speaker, Guangzhou, China.
12/1998	The First International Congress of Chinese Mathematicians, Poster Session, Beijing, China.
8/2000	The 2000 Pacific Rim Dynamical Systems Conference, Symposium Organizer and Speaker, Hawaii, USA.
9/2000	Workshop on Structured Matrix Computations: Analysis, Algorithms and Applications, Invited Speaker, Cortona, Italy.
2/2001	The First Chinese-Korean Joint Workshop on Recent Advances in Numerical Analysis and Its Applications, Invited Speaker, Seoul, Korea.
5/2002	International Conference on Structured Matrices, Invited Speaker, Hong Kong.
8/2002	International Conference on Matrix Theory and Its Application, Speaker, Shanghai, China.
8/2002	International Congress of Mathematicians, Speaker, Beijing, China.
10/2003	The 7th National Conference on Computational Mathematics, Speaker, Nanjing, China.
11/2003	The 9th International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science, Keynote Speaker, Macao.
7/2004	The 4th National Symposium on Modern Scientific Computing, Speaker, Wulumuqi, China.
12/2004	The Third International Congress of Chinese Mathematicians, Speaker, Hong Kong.
5/2005	UM World-Level Mathematics Week, Invited Speaker, Macao.
6/2005	International Conference on Scientific Computing, Invited Speaker, Nanjing, China.
6/2006	The Second International Conference on Structured Matrices, Invited Speaker, Hong Kong.
7/2006	The 1st International Summer School on Numerical Linear Algebra, Invited Speaker, Guangzhou, China.
7/2007	The Graduate Summer School on Applied Mathematics, Invited Speaker, Hangzhou, China.
11/2007	The 3rd East Asia SIAM Conference, Invited Speaker, Xiamen, China.
12/2007	The Fourth International Congress of Chinese Mathematicians, Invited Speaker, Hangzhou, China.
2/2008	Workshop on "Gene Around the World", Invited Speaker, Hong Kong.
10/2008	The 4th East Asia SIAM Conference, Invited Speaker, Deajeon, Korea.
11/2008	The 2nd International Conference on Numerical Algebra and Scientific Computing, Speaker, Nanjing, China.
12/2008	The 3rd International Conference on Scientific Computing and Partial Di®erential Equations, Invited Speaker, Hong Kong.
12/2008	Workshop on Computational Mathematics, Plenary Speaker, Guangzhou, China.
6/2009	The 5th East Asia SIAM Conference, Speaker, Brunei.
6/2009	International Workshop of Scientific Computing and Its Applications, Invited Speaker, Shanghai, China.
7/2009	Bilateral Workshop on Computational Mathematics 2009, Fudan University - University of Macau, Organizer and speaker, Shanghai, China.
7/2009	The 9th International Conference on Fixed Point Theory and Its Applications, Invited Speaker, Changhua, Taiwan.
8/2009	International Conference on Partial Differential Equations and Numerical Analysis, Invited speaker, Mianyang, China.
3/2010	Workshop on Numerical Linear Algebra and High Performance Computing, Invited Speaker, Guangzhou, China.
8/2010	International Workshop on Numerical Mathematics - Theory, Methods and Applications, Invited Speaker, Nanjing, China
6/2011	The 7th East Asia SIAM Conference, Speaker, Kitakyushu, Japan.
5/2012	The 2nd International Conference on Scientific Computing, Invited Speaker, Nanjing, China.
6/2012	The 8th East Asia SIAM Conference, Speaker, Taipei, Taiwan.
7/2012	The 10th International Conference on Matrix Theory and Its Application, Invited Speaker, Guiyang, China.
6/2013	International Conference on Partial Differential Equations and Large Scale Scientific Computational Methods, invited speaker, Xuzhou, China.
12/2013	The 5th Workshop on Numerical Algebra and High Performance Computation, invited speaker, Hsinchu, Taiwan.

10/2003	Workshop on the Development of Numerical Mathematics in China, Invited Participant, Hong Kong.
4/2004	The Editorial Meeting of Computational Mathematics, Organizer, Macao.
8/2004	International Conference on Partial Differential Equations and Numerical Analysis, Member of Organizing Committee, Jinan, China.
11/2005	The 4th International Conference on Wavelet Analysis and Its Applications, Member of Scienti¯c Committee, Macao.
12/2006	Workshop on Computational Mathematics and Finance, Chairman of Organizing Committee, Macao.
12/2009	Workshop on Scientific Computing and Matrix analysis, Chairman of Organizing Committee, Macao.
12/2011	Workshop on Scientific Computing, Chairman of Organizing Committee, Macao.
12/2012	The 4th Workshop on Numerical Algebra and High Performance Computation, chairman of organizing committee, Macao.

Linear algebra, Mathematical analysis, Analytic geometry,
Projective geometry, Finite mathematics, Numerical analysis,
Real analysis, Complex analysis, Topics in mathematics.
Numerical partial differential equation (graduate course),
Computational methods (graduate course),
Advanced numerical linear algebra (graduate course).

1. Kou Kit-ian (1999);	2. Lei Siu-long (2000);
3. Song Li-li (2002);	4. Cai Ming-chao (2004);
5. Tam Hong-sang (2004);	6. Yeung Choi-in (2004);
7. Wang Wei (2006).	8. Pou Hio-san (2008).

1. Zhang Ying-ying (2010);

2. Pang Hong-kui (2011).

1. The Southeast Asian Bulletin of Mathematics.
2. The Proceedings of CSC'94.
3. Linear Algebra and Its Applications.
4. Journal of Computational Mathematics.
5. BIT.
6. SIAM Journal on Matrix Analysis and Application.
7. Bulletin of the Hong Kong Mathematical Society.
8. IEEE Transactions on Signal Processing.
9. Korean Journal of Computational and Applied Mathematics.
10. Annals of Operations Research.
11. Numerical Algorithms.
12. Numerical Mathematics - A Journal of Chinese Universities.
13. SIAM Journal on Scientific Computing.
14. Methods and Applications of Analysis.
15. Journal of Scientific Computing.
16. International Journal for Numerical Methods in Engineering.
17. Numerische Mathematik.
18. Journal of the Franklin Institute.
19. Journal on Numerical Methods and Computer Applications.
20. Applied Numerical Mathematics.
21. Applied Mathematics Letter.
22. Numerical Mathematics - Theory, Methods and Applications.
23. East Asia Journal of Applied Mathematics.
24. External Reviewer of HKRGC (2002).

Research Interests

Scientific computing, numerical linear algebra - especially on fast iterative solvers for structured systems and their applications, financial mathematics.

Projects and Grants (principal investigator)

1. Project:" The PCG Methods withWavelet Bases for Solving Integral Equations ". Grant RC034(96/97) from UM. Amount: MOP 32,000.
2. Project:" The Applications of the Fast Iterative Toeplitz Solvers in Image Restoration ". Grant RG018/97-98S/JXQ/FST from UM. Amount: MOP 36,000.
3. Project:" The Application of Multigrid Solvers in Image Restoration ". Grant RG009/98-99S/JXQ/FST from UM. Amount: MOP 35,800.
4. Project:" Fast Iterative Solvers for Sinc-Galerkin Systems ". Grant RG010/99-00S/JXQ/FST from UM. Amount: MOP 47,400.
5. Project:" BVM Solvers for DDE Codes ". Grant RG026/00-01S/JXQ/FST from UM. Amount: MOP 73,200.
6. Project:" BVM Solvers for NDE Codes ". Grant RG024/01-02S/JXQ/FST from UM. Amount: MOP 67,200.
7. Project:" Fast Iterative Methods for Solving Large Algebraic Systems Arising from Computational Fluid Dynamics ". Grant RG031/02-03S/JXQ/FST from UM. Amount: MOP 88,200.
8. Project:" Fast Iterative Methods for Solving Linear Systems with M-matrices ". Grant RG064/03-04S/JXQ/FST from UM. Amount: MOP 110,450.
9. Project:" Numerical Methods in Financial Modeling ". Grant RG081/04-05S/JXQ/FST from UM. Amount: MOP 111,050.
10. Project:" Numerical Methods for Financial Derivatives and Saddle Point Problem ". Grant 050/2005/A from FDCT of Macao. Amount: MOP 500,000.
11. Project:" Preconditioning Techniques for Linear Systems and Their Applications ". Grant RG-UL/07-08S/Y1/JXQ/FST from UM. Amount: MOP 415,000.
12. Project:" Preconditioning Techniques for Linear Systems and Their Applications ". Grant UL020/08-Y2/MAT/JXQ01/FST from UM. Amount: MOP 355,000.
13. Project:" Preconditioning Techniques for Linear Systems and Their Applications ". Grant UL020/08-Y3/MAT/JXQ01/FST from UM. Amount: MOP 336,000.
14. Project:" Preconditioning Techniques for Linear Systems and Their Applications ". Grant UL020/08-Y4/MAT/JXQ01/FST from UM. Amount: MOP 313,000.
15. Project: “ Preconditioning Techniques for Linear Systems and Their Applications ”. Grant UL020/08-Y5/MAT/JXQ01/FST from UM. Amount: MOP 296,000.

UM Research Award 2001 (second prize).

Long Service Award (15 years of service: 1992--2007).

Long Service Award (20 years of service: 1992--2012).

Member of Council of Chinese Society of Industrial and Applied Mathematics (1998-2004).

Member of Council of Computational Mathematics of Chinese Society of Mathematics (since 2002).

Member of Executive Committee of SIAM - East Asia Section (since 2005).

Member of UM Rector Selection Committee (in 2007).

Editor of Journal on Numerical Methods and Computer Applications (since 2000).

Executive Editor of Numerical Mathematics - A Journal of Chinese Universities (in 2007).

Executive Editor of Numerical Mathematics - Theory, Methods and Applications (2008-2009).

Associate Editor of Numerical Mathematics - Theory, Methods and Applications (since 2010).

Editor of East Asia Journal of Applied Mathematics (since 2011).

Editor of Numerical Algebra, Control and Optimization (since 2011).

Book Publications

1. X. Jin, Developments and Applications of Block Toeplitz Iterative Solvers, Science Press, Beijing; and Kluwer Academic Publishers, Dordrecht, 2002, xiii+218 pages. Second (corrected) printing 2006, xiii+220 pages. ISBN 7-03-010719-5 and ISBN 1-4020-0830-9.
2. X. Jin and Y.Wei, Numerical Linear Algebra and Its Applications, Science Press, Beijing, 2004, vii+174 pages. Second (corrected) printing 2005, xv+186 pages. Third (corrected) printing 2006, xv+186 pages. ISBN 7-03-013954-2.
3. R. Chan and X. Jin, An Introduction to Iterative Toeplitz Solvers, SIAM, Philadelphia, 2007, xii+111 pages. ISBN 978-0-898716-36-8.
4. D. Ding, X. Jin, and H. Sun (editors), Recent Advances in Computational Mathematics, International Press, Somerville; and Higher Education Press, Beijing, 2008, ix+172 pages. ISBN 978-1-57146-132-2.
5. X. Jin, Preconditioning Techniques for Toeplitz Systems, Higher Education Press, Beijing, 2010, vi+95 pages. ISBN 978-7-04-029532-0.
6. X. Jin, H. Sun, and S. Vong (editors), Recent Advances in Scientific Computing and Matrix Analysis, International Press of Boston, Somerville; and Higher Education Press, Beijing, 2011, xi+126 pages. ISBN 978-1-57146-202-2.
7. X. Jin and Y. Wei, Numerical Linear Algebra and Its Applications, Science Press, Beijing; and Alpha Science International Ltd., Oxford, 2012, xv+186 pages. ISBN 978-1-84265-716-4.

Journal Publications (here " ** " means SCI and " * " means SCIE)

1. * W. Chan and X. Jin, Singular Extremal Control Problem with Time Delay, Int. J. Control, Vol. 47 (1988), pp. 1795-1810.
2. ** R. Chan, X. Jin and M. Yeung, The Circulant Operator in the Banach Algebra of Matrices, Linear Algebra Appl., Vol. 149 (1991), pp. 41-53.
3. ** R. Chan, X. Jin and M. Yeung, The Spectra of Super-optimal Cir- culant Preconditioned Toeplitz Systems, SIAM J. Numer. Anal., Vol. 28 (1991), pp. 871-879.
4. * R. Chan and X. Jin, Circulant and Skew-circulant Preconditioners for Skew-Hermitian Type Toeplitz Systems, BIT, Vol. 31 (1991), pp. 632-646.
5. ** R. Chan and X. Jin, A Family of Block Preconditioners for Block Systems, SIAM J. Sci. Stat. Comput., Vol. 13 (1992), pp. 1218-1235.
6. * X. Jin and R. Chan, Circulant Preconditioners for Second Order Hyperbolic Equations, BIT, Vol. 32 (1992), pp. 650-664.
7. X. Jin, A Note on Circulant Preconditioners for Hyperbolic and Parabolic Equations, Chinese J. Math., Vol. 21 (1993), pp. 129-142.
8. X. Jin, Sine Transform Preconditioners for Second-order Partial Dif-ferential Equations, Numer. Math. J. Chinese Univ., Vol. 2 (1993), pp. 116-123.
9. * X. Jin, A Note on Best Conditioned Preconditioners, BIT, Vol. 34 (1994), pp. 313-317.
10. * X. Jin, Hartley Preconditioners for Toeplitz Systems Generated by Positive Continuous Functions, BIT, Vol. 34 (1994), pp. 367-371.
11. * R. Chan, X. Jin and M. Ng, Circulant Integral Operators for Wiener- Hopf Equations, Integr. Equat. Oper. Th., Vol. 21 (1995), pp. 12-23.
12. ** X. Jin, A Note on Preconditioned Block Toeplitz Matrices, SIAM J. Sci. Comput., Vol. 16 (1995), pp. 951-955.
13. X. Jin and C.Wong, Domain Decomposition Preconditioners for Second- order Hyperbolic Equations on L-shaped Regions, Numer. Math. J. Chinese Univ., Vol. 4 (1995), pp. 54-62.
14. * X. Jin, A Fast Algorithm for Block Toeplitz Systems with Tensor Structure, Appl. Math. Comput., Vol. 73 (1995), pp. 115-124.
15. ** X. Jin, A Preconditioner for Constrained and Weighted Least Squares Problem with Toeplitz Structure, BIT, Vol. 36 (1996), pp. 101-109.
16. * X. Jin, Fast Iterative Solvers for Symmetric Toeplitz Systems - a Survey and an Extension, J. Comput. Appl. Math., Vol. 66 (1996), pp. 315-321.
17. * X. Jin, Band-Toeplitz Preconditioners for Block Toeplitz Systems, J. Comput. Appl. Math., Vol. 70 (1996), pp. 225-230.
18. * X. Jin, A Note on Construction of Circulant Preconditioners from Kernels, Appl. Math. Comput., Vol. 83 (1997), pp. 3-12.
19. * X. Jin and V. Sin, Addendum of \ A Note on Construction of Cir- culant Preconditioners from Kernels ", Appl. Math. Comput., Vol. 95 (1998), pp. 91-99.
20. * X. Jin and J. Yuan, A Wavelet Method for the First Kind Integral Equations with Kernel k(x - y), Taiwanese J. Math., Vol. 2 (1998), pp. 427-434.
21. * J. Yuan and X. Jin, Convergence of the Generalized AOR Method, Appl. Math. Comput., Vol. 99 (1999), pp. 35-46.
22. * X. Jin, V. Sin and J. Yuan, A Wavelet Method for the Fredholm Integro-differential Equations with Convolution Kernel, J. Comput. Math., Vol. 17 (1999), pp. 435-440.
23. S. Lei, K. Kou and X. Jin, Circulant-like Block Preconditioners for Ill-Conditioned Block Toeplitz Systems, East-West J. Numer. Math., Vol. 7 (1999), pp. 175-185.
24. K. Kou, X. Jin and V. Sin, The Sine Transform Operator in the Banach Space of Symmetric Matrices and Its Application in Image Restoration, Numer. Math. J. Chinese Univ., Vol. 8 (1999), pp. 231- 242.
25. * J. Yuan and X. Jin, Direct Iterative Methods for Rank De¯cient Generalized Least Squares Problems, J. Comput. Math., Vol. 18 (2000), pp. 437-446.
26. ** R. Chan, M. Ng and X. Jin, Strang-Type Preconditioners for Sys- tems of LMF-Based ODE Codes, IMA J. Numer. Anal., Vol. 21 (2001), pp. 451-462 .
27. ** H. Sun, X. Jin and Q. Chang, Convergence of the Multigrid Method for Ill-Conditioned Block Toeplitz Systems, BIT, Vol. 41 (2001), pp. 179-190.
28. * K. Kou, V. Sin and X. Jin, A Note on the Fast Algorithm for Block Toeplitz Systems with Tensor Structure, Appl. Math. Comput., Vol. 126 (2002), pp. 187-197.
29. ** M. Gulliksson, X. Jin and Y. Wei, Perturbation Bounds for Con- strained and Weighted Linear Least Squares Problems, Linear Algebra Appl., Vol. 349 (2002), pp. 221-232.
30. ** C. Li and X. Jin, Nonlinear Constrained Best Approximation in Hilbert Spaces - the strong CHIP and the basic constraint qualification condition, SIAM J. Optimiz., Vol. 13 (2002), pp. 228-239.
31. R. Chan, X. Jin and Y. Tam, Strang-Type Preconditioners for Solving System of ODEs by Boundary Value Methods, Electron. J. Math. Phys. Sci., Vol. 1 (2002), pp. 14-46.
32. ** F. Lin, X. Jin and S. Lei, Strang-Type Preconditioners for Solving Linear Systems from Delay Differential Equations, BIT, Vol. 43 (2003), pp. 136-149.
33. * X. Jin, V. Sin and L. Song, Circulant-Block Preconditioners for Solv-ing Ordinary Differential Equations, Appl. Math. Comput., Vol. 140 (2003), pp. 409-418.
34. * Z. Bai, X. Jin and L. Song, Strang-type Preconditioners for Solv- ing Linear Systems from Neutral Delay Differential Equations, Calcolo, Vol. 40 (2003), pp. 21-31.
35. ** X. Jin and S. Lei, Sine Transform Based Preconditioners for Solv-ing Constant-Coe±cient First-Order PDEs, Linear Algebra Appl., Vol. 366 (2003), pp. 283-294.
36. ** M. Ng, H. Sun and X. Jin, Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions, SIAM J. Sci. Comput., Vol. 24 (2003), pp. 1507-1529.
37. ** X. Jin, Y. Wei and W. Xu, A Stability Property of T. Chan's Pre- conditioner, SIAM J. Matrix Anal. Appl., Vol. 25 (2003), pp. 627-629.
38. ** M. Cai and X. Jin, A Note on T. Chan's Preconditioner, Linear Algebra Appl., Vol. 376 (2004), pp. 283-290.
39. * X. Jin, V. Sin and L. Song, Circulant Preconditioned WR-BVM Methods for ODE systems, J. Comput. Appl. Math., Vol. 162 (2004), pp. 201-211.
40. * X. Jin, V. Sin and L. Song, Preconditioned WR-LMF-Based Method for ODE systems, J. Comput. Appl. Math., Vol. 162 (2004), pp. 431-444.
41. ** S. Lei and X. Jin, BCCB Preconditioners for Systems of BVM- Based Numerical Integrators, Numer. Linear Algebra Appl., Vol. 11 (2004), pp. 25-40.
42. ** C. Li, W. Zhang and X. Jin, Convergence and Uniqueness Properties of Gauss-Newton's Method, Comput. Math. Appl., Vol. 47 (2004), pp. 1057-1067.
43. ** X. Jin, S. Lei and Y. Wei, Circulant Preconditioners for Solving Differential Equations with Multi-delays, Comput. Math. Appl., Vol. 47 (2004), pp. 1429-1436.
44. ** C. Cheng and X. Jin, Some Stability Properties of T. Chan's Pre- conditioner, Linear Algebra Appl., Vol. 395 (2005), pp. 361-365.
45. ** X. Jin, S. Lei and Y. Wei, Circulant Preconditioners for Solving Singular Perturbation Delay Differential Equations, Numer. Linear Al- gebra Appl., Vol. 12 (2005), pp. 327-336.
46. * X. Jin, Y.Wei and H. Tam, Preconditioning Technique for Symmetric M-Matrices, Calcolo, Vol. 42 (2005), pp. 105-113.
47. ** H. Tam, Y. Wei and X. Jin, A Note on Preconditioning for M- Matrix, Appl. Math. Lett., Vol. 18 (2005), pp. 1137-1142.
48. ** M. Cai, X. Jin and Y. Wei, A Generalization of T. Chan's Precon- ditioner, Linear Algebra Appl., Vol. 407 (2005), pp. 11-18.
49. ** M. Cai and X. Jin, BCCB Preconditioners for Solving Linear Sys- tems from Delay Differential Equations, Comput. Math. Appl., Vol. 50 (2005), pp. 281-288.
50. * X. Jin, M-Preconditioner for M-Matrices, Appl. Math. Comput., Vol. 172 (2006), pp. 701-707.
51. ** C. Cheng, X. Jin and Y. Wei, Stability Properties of Superoptimal Preconditioner from Numerical Range, Numer. Linear Algebra Appl., Vol. 13 (2006), pp. 513-521.
52. D. Ding, C. Leong and X. Jin, A Simple Analytical and Numerical Approach for Pricing Compound Options, Numer. Math. J. Chinese Univ., Vol. 15 (2006), pp. 367-374.
53. C. Cheng, X. Jin and V. Sin, Stability of T. Chan's Preconditioner from Numerical Range, Numer. Math. J. Chinese Univ., Vol. 16 (2007), pp. 28-36.
54. ** C. Cheng, X. Jin, S. Vong and W. Wang, A Note on Spectra of Op- timal and Superoptimal Preconditioned Matrices, Linear Algebra Appl., Vol. 422 (2007), pp. 482-485.
55. ** S. Vong and X. Jin, Unitarily Invariant Norms of Toeplitz Matrices with Fisher-Hartwig Singularities, SIAM J. Matrix Anal. Appl., Vol. 29 (2007), pp. 850-854.
56. * X. Jin and Y. Wei, A Short Note on Singular Values of Optimal and Superoptimal Preconditioned Matrices, Int. J. Comput. Math., Vol. 84 (2007), pp. 1261-1263.
57. X. Jin and Y. Wei, A Survey and Some Extensions of T. Chan's Preconditioner, Linear Algebra Appl., Vol. 428 (2008), pp. 403-412.
58. ** S. Vong, W.Wang and X. Jin, Convergence Analysis of Superoptimal PCG Algorithm for Toeplitz Systems with a Fisher-Hartwig Singularity, Linear Algebra Appl., Vol. 428 (2008), pp. 535-549.
59. S. Vong and X. Jin, Proof of Böttcher and Wenzel's Conjecture, Operators and Matrices, Vol. 2 (2008), pp. 435-442.
60. ** X. Jin and F. Lin, Block Preconditioners with Circulant Blocks for General Linear Systems, Comput. Math. Appl., Vol. 58 (2009), pp. 1309-1319.
61. ** J. Chen and X. Jin, The Generalized Superoptimal Preconditioner, Linear Algebra Appl., Vol. 432 (2010), pp. 203-217.
62. * H. Pang and X. Jin, Some Properties of the Optimal Preconditioner and the Generalized Superoptimal Preconditioner, Numer. Math. Theory Methods Appl., Vol. 3 (2010), pp. 449-460.
63. H. Pang, Y. Zhang, and X. Jin, Tri-diagonal Preconditioner for Toeplitz Systems from Finance, East Asia Journal of Applied Mathematics, Vol. 1 (2011), pp. 82-88.
64. ** W. Shen, C. Li, and X. Jin, A Ulm-like Method for Inverse Eigen-value Problems, Appl. Numer. Math., Vol. 61 (2011), pp. 356-367.
65. ** H. Pang, Y. Zhang, S. Vong, and X. Jin, Circulant Preconditioners for Pricing Options, Linear Algebra Appl., Vol. 434 (2011), pp. 2325-2342.
66. ** S. Vong, Z. Bai, and X. Jin, A Ulm-like Method for Inverse Singular Value Problems, SIAM J. Matrix Anal. Appl., Vol. 32 (2011), pp. 412-429.
67. Z. Bai, X. Jin, and S. Vong, On some inverse singular value problems with Toeplitz-related structure, Numerical Algebra, Control and Optimization, Vol. 2 (2012), pp. 187–192.
68. * Q. Meng, L. Yin, X. Jin, and F. Qiao, Numerical solutions of coupled nonlinear Schr¨odinger equations by orthogonal spline collocation method, Commun. Comput. Phys., Vol. 12 (2012), pp. 1392–1416.
69. S. Vong, H. Pang, and X. Jin, A high-order difference scheme for the generalized Cattaneo equation, East Asian Journal on Applied Mathematics, Vol. 2 (2012), pp. 170–184.
70. ** H. Pang, Y. Zhang, and X. Jin, Tri-diagonal preconditioner for pricing options, J. Comput. Appl. Math., Vol. 236 (2012), pp. 4365–4374.
71. ** G. Wu, Y. Wang, and X. Jin, A preconditioned and shifted GMRES algorithm for the pagerank problem with multiple damping factors, SIAM J. Sci. Comput., Vol. 34 (2012), pp. A2558–A2575.
72. F. Lin, X. Lu, and X. Jin, Sinc Nystr¨om method for singularly perturbed Love’s integral equation, East Asian Journal on Applied Mathematics, Vol. 3 (2013), pp. 48–58.
73. * Y. Zhang, H. Pang, L. Feng, and X. Jin, Quadratic finite element with preconditioning techniques for options pricing in stochastic volatility jump diffusion models, J. Comput. Finance, Vol. 17 (2013), to appear.

Book Contributions and Proceedings Publications

1. R. Chan and X. Jin, Skew-circulant Preconditioners for Skew-Hermitian type Toeplitz Systems, Proceedings of Asian Mathematical Conference (1990), pp. 45-50. Eds: Z. Li, K. Shum, C. Yang and L. Yang, World Scientific, 1992.
2. * S. Lei and X. Jin, Strang-Type Preconditioners for Solving Differential- Algebraic Equations, NAA (2000), LNCS, Vol. 1988, pp. 505-512. Eds: L. Vulkov, J. Wasniewski and P. Yalamov, Springer, 2001.
3. R. Chan, M. Ng and X. Jin, Circulant Preconditioners for Solving Ordinary Differential Equations, Structured Matrices: Recent Devel- opments in Theory and Computation, Vol. 4, pp. 157-164. Eds: D. Bini, E. Tyrtyshnikov and P. Yalamov, Nova Science Pub., 2001.
4. X. Jin and K. Kou, A Brief Survey of Block Toeplitz Iterative Solvers, Transactions of K. C.Wong Education Foundation Supported Lectures, Vol. 22, pp. 1-27. Ed: W. Qian, Shanghai University Press, 2002.
5. X. Jin, V. Sin and L. Song, A Brief Survey of Strang-type Circulant Preconditioner for Solving ODEs, DAEs and DDEs, Proceedings of the 6th Conference of CSIAM (2002), pp. 15-28. Eds: D. Li, X. Zhang and Y. Yuan, Research Information Ltd., 2002.
6. Z. Bai, R. Chan and X. Jin, Strang-Type Preconditioners for Solving System of Delay Differential Equations by Boundary Value Methods, Advances in Mathematics Research, Vol. 3, pp. 125-140. Ed: G. Oyibo, Nova Science Pub., 2003.
7. X. Jin, Applications of Block Toeplitz Iterative Solvers in Science and Engineering, Computational Methods in Engineering and Science { Proceedings of EPMESC IX (2003), pp. 71-80. Eds: V. Iu, L. Lamas, Y. Li and K. Mok, Swets & Zeitlinger Publishers, 2003.
8. S. Vong, W. Wang and X. Jin, A Note on the Complexity of the PCG Algorithm for Solving Toeplitz Systems with a Fisher-Hartwig Singular- ity, Computational Methods in Engineering and Science { Proceedings of EPMESC X (2006), pp. 903-907. Eds: Z. Yao, M. Yuan and Y. Chen, Tsinghua University Press and Springer, 2006.
9. X. Jin, Three Useful Preconditioners in Structured Matrix Computations, Proceedings of the 4th ICCM (2007), Vol. III, pp. 570-591. Eds: L. Ji, K. Liu, L. Yang and S. T. Yau, Higher Education Press, 2007; International Press, 2010.
10. D. Ding, X. Jin, and Y. Zhang, Numerical Comparison of Monte Carlo Methods for Linear Systems, Recent Advances in Computational Mathematics, pp. 103-118. Eds: D. Ding, X. Jin, and H. Sun, International Press and Higher Education Press, 2008.
11. X. Jin, W. Wang, and Y. Wei, On Convergence Rate of the GMRES Method, Recent Advances in Computational Mathematics, pp. 93-101. Eds: D. Ding, X. Jin, and H. Sun, International Press and Higher Education Press, 2008.
12. Y. Zhang, S. Vong, and X. Jin, A Family of Generating Functions with an Application in Finance, The 4th East Asia SIAM Conference (2008), Proceedings of the National Institute for Mathematical Sciences, Vol. 3, No. 9 (2008), pp. 7-14. Eds: K. Jun, C. Keem, H. Lee, and J. Choi.
13. J. Chen, X. Jin, Y. Wei, and Z. Xu, Some Relationships between Optimal Preconditioner and Superoptimal Preconditioner, Matrix Methods: Theory, Algorithms and Applications, pp. 266-272. Eds: V. Olshevsky and E. Tyrtyshinkov, World Scientific, 2010.
14. Z. Bai and X. Jin, A Note on the Ulm-like Method for Inverse Eigen-value Problems, Recent Advances in Scientific Computing and Matrix Analysis, pp. 1-7. Eds: X. Jin, H. Sun, and S. Vong, International Press of Boston and Higher Education Press, 2011.
15. Z. Li, S. Vong, Y. Wei, and X. Jin, Some Results on Condition Numbers, Handbook of Optimization Theory: Decision Analysis and Applications (Mathematics Research Developments), pp. 577-586. Eds: J. Varela and S. Acuña, Nova Science Pub., 2011.

Faculty of Science and Technology
University of Macau
Av. Padre Tomás Pereira, Taipa,
Macau, China

Room: N320
Telephone: (853) 8397-4390
Fax: (853) 28838314
Email: xqjin
Personal CV