Xiao Qing JIN金小慶
Distinguished Professor

Educational Background | Google Scholar | Working Experience | Visiting Experience | Conferences Attended | Academic Events Organizer or Participant | Teaching | MSc Students | PhD Student | Research | Academic Honor, Achievements and Services | Publications | Contact Details

Educational Background

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 title: Singular extremal
control problem with time delay. Thesis supervisor: Dr. W.L. Chan.
8/1989-7/1992 Ph.D., Department of Mathematics, University of Hong Kong, Hong Kong. Thesis title: Circulant preconditioners for
Toeplitz matrices and their applications in solving partial differential equations. Thesis supervisor: Prof. Raymond H.F. Chan.
4-6/1995 Postdoctorate fellow, Department of Mathematics, Chinese University of Hong Kong, Hong Kong.

Google Scholar

http://scholar.google.com/citations?user=iLrISAYAAAAJ&hl=en&oi=ao

Working Experience

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.
9/2011–8/2013 Professor and Head of Department of Mathematics, University of Macau, Macao.
9/2013–11/2016 Professor, Department of Mathematics, University of Macau, Macao.
12/2016–now Distinguished Professor, Department of Mathematics, University of Macau, Macao.

Visiting Experience

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.
5/2013 Visiting scholar, Department of Mathematics, Shantou University, Shantou, China.
7/2013 Visiting scholar, Department of Mathematics, South China Normal University, Guangzhou, China.
6/2014 Visiting scholar, Institute of Computational Mathematics and Scientific/Engineering Computing, The Chinese Academy of Sciences, Beijing, China.
7,8/2014 Visiting scholar, Department of Mathematics, Fudan University, Shanghai, China.
12/2014 Visiting scholar, Department of Mathematics, Xiamen University, Xiamen, China.
6/2015 Visiting scholar, Department of Mathematics, Xiangtan University, Xiangtan, China.
3/2016 Visiting scholar, Department of Mathematics, Sun Yat-sen University, Guangzhou, China.
3/2017 Visiting professor, Department of Mathematics, Hangzhou Danzi University, Hangzhou, China.
3/2017 Visiting scholar, Department of Mathematics, Zhejiang Normal University, Jinhua, China.
4/2017 Visiting professor, Department of Mathematics, Hangzhou Normal University, Hangzhou, China.
4/2017 Visiting scholar, Department of Mathematics, China University of Mining and Technology, Xuzhou, China.
6,8,12/2017 Visiting scholar, Department of Mathematics, South China Normal University, Guangzhou, China.
10/2017 Visiting scholar, Department of Mathematics, Nanjing Normal University, Nanjing, China.
5/2018 Visiting scholar, Department of Mathematics, Hangzhou Danzi University, Hangzhou, China.
6/2018 Visiting scholar, Department of Mathematics, China University of Mining and Technology, Xuzhou, China.
6/2018 Visiting scholar, Department of Mathematics, Shanghai University, Shanghai, China.
6/2018 Visiting scholar, Department of Mathematics, South China Normal University, Guangzhou, China.
12/2018 Visiting scholar, Department of Mathematics, Shantou University, Shantou, China.
4/2019 Visiting scholar, Department of Mathematics, Xiamen University, Xiamen, China.
5/2019 Visiting scholar, Department of Mathematics, Hangzhou Danzi University, Hangzhou, China.
6/2019 Visiting scholar, Department of Mathematics, Fudan University, Shanghai, China.

Conferences Attended

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.
7/2013 The Sixth International Congress of Chinese Mathematicians, speaker, Taipei, Taiwan.
12/2013 Annul Conference of Mathematics Society of R.O.C., invited speaker, Kaohsiung, Taiwan.
12/2013 Workshop on Numerical Algebra and High Performance Computation, invited speaker, Hsinchu, Taiwan.
6/2014 The 10th East Asia SIAM Conference, speaker, Pattaya, Thailand.
11/2014 The 4th Joint Meeting of Guangdong-Hunan-Guangxi Mathematical Societies, invited guest, Zhangjiang, China.
12/2014 Workshop on Structured Matrices and Tensors: Analysis, Algorithms and Applications, invited speaker, Taipei, Taiwan.
3/2015 Workshop on Structured Processing for Structured Matrices, invited speaker, Hangzhou, China.
6/2015 Preparing Meeting of International Consortium of Chinese Mathematicians, invited participant, Xian, China.
8/2015 International Conference on Numerical Mathematics and Scientific Computing, invited speaker, Nanjing, China.
9/2015 The 10th National Conference on Computational Mathematics, speaker, Guangzhou, China.
5/2016 International Conference on Tensors, Matrices and Their Applications, invited speaker, Tianjin, China.
8/2016 The Seventh International Congress of Chinese Mathematicians, invited speaker, Beijing, China.
4/2017 SeniorWorkshop on Numerical Linear Algebra, invited speaker, Nanjing, China.
4/2017 The 90th Anniversary Conference on Mathematics Discipline at Tsinghua University, invited guest, Beijing, China.
6/2017 The 12th East Asia SIAM Conference, speaker, Seoul, Korea.
11/2017 The 2017 Workshop on Tensors with Their Applications, invited speaker, Guangzhou, China.
12/2017 The 1st Annual Meeting of ICCM, participant, Guangzhou, China.
2/2018 The Greater Bay Area Optimization Day, invited speaker, Hong Kong.
4/2018 NCTS Workshop on Computational Mathematics and Applies Analysis, invited speaker, Taipei, Taiwan.
6/2018 2018 International Conference on Matrix Inequalities and Matrix Equations, invited speaker, Shanghai, China.
6/2018 The 13th East Asia SIAM Conference, speaker, Tokyo, Japan.
11/2018 The Forum in Scienti c Computing and Interdisciplinary Research, invited speaker, Guangzhou, China.
11/2018 The Academic Forum for Graduates in Guangdong Province, invited speaker, Guangzhou, China.
12/2018 International Conference on Scientific Computing, invited speaker, Hong Kong.
6/2019 The Eighth International Congress of Chinese Mathematicians, invited speaker, Beijing, China.
6/2019 International Conference on Advanced Numerical Methods for Scientific Computation, invited speaker, Shenzhen, China.
7/2019 The 10th Anniversary Conference on ” Mathematical Culture “, invited guest, Guiyang, China.
12/2019 Bilateral Workshop on Computational Mathematics 2019, Central South University – University of Macau, invited speaker, Changsha, China.

Academic Events Organizer or Participant

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.
6/2016 The 11th East Asia SIAM Conference, chairman of organizing committee, Macao.
5/2017 The 2017 Workshop on Computational Mathematics and Scientific Computing, member of organizing committee, Macao.

Teaching

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

MSc Students: [Name (year of degree)]

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);
9. Lv Shu-lin (2013). 10. Liu Zhi-kang (2017).

PhD Students: [name (year of degree), “thesis title”]

  1. Zhang Ying-ying (2010), “ Preconditioning techniques for a family of Toeplitz-like systems with financial applications ”.
  2. Pang Hong-kui (2011), “ New numerical methods and analysis for Toeplitz matrices with financial applications ”.
  3. Meng Qing-jiang (2013), “ Some efficient numerical methods for Schrödingertype equations and financial derivatives ”.
  4. Zhao Zhi (2015), “ Riemannian optimization methods for some eigenvalue problems ”.
  5. Xie Ze-jia (2017), “ Numerical methods for some structured tensor equations “.

Research

Research Interests

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

Projects and Grants (principal investigator)

  1. Project:“ The PCG methods with wavelet 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.
  16. Project: “ Numerical fractional differential equations and inverse eigenvalue problems ”. Grant MYRG098(Y1-L3)-FST13-JXQ. Amount: MOP 313,500.
  17. Project: “ Numerical fractional differential equations and inverse eigenvalue problems ”. Grant MYRG098(Y2-L3)-FST13-JXQ. Amount: MOP 361,000.
  18. Project: “ Numerical fractional differential equations and inverse eigenvalue problems ”. Grant MYRG098(Y3-L3)-FST13-JXQ. Amount: MOP 361,000.
  19. Project: “ Riemannian optimization methods for some eigenvalue problems and tensor preconditioning with low-rank approximation ”. Grant MYRG2016-00077-FST. Amount: MOP 1,308,000.
  20. Project: ” Iteration method for low-rank tensor approximation in tensor chain format “. Grant CPG2019-00030-FST. Amount: MOP 85,000.
  21. Project: ” Iteration method for nonlinear equations on Riemannian manifolds “. Grant MYRG2019-00042-FST. Amount: MOP 1,350,000.
  22. Project: ” A study on tensor approximation with tensor chain format “. Grant 0014/2019/A from FDCT of Macao. Amount: MOP 400,000.

Academic Honor, Achievements and Services

UM Research Award 2001 (second prize).

Macao Natural Science Award (second prize) from FDCT, 2016, X. Jin, S. Vong, and C. Cheng. Project title: “ Preconditioning techniques for Toeplitz systems with applications ”.

FST Teaching Excellence Award 2016/2017.

Long Service Awards (15; 20; 25 years of service).

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

Member of Board of China Society for Computational Mathematics (2002-2014).

Member of Executive Committee of EASIAM (2005-2020).

Vice-president of EASIAM (2015–2016).

President of EASIAM (2017–2018).

Member of UM Rector Selection Committee (2007).

Editor of Journal on Numerical Methods and Computer Applications (2000–2014).

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

Executive editor (2008-2009) and associate editor (2010-now) of Numerical Mathematics – Theory, Methods and Applications.

Editor of Numerical Algebra, Control and Optimization (2011-2017).

Editor of East Asian Journal on Applied Mathematics (2011-now).

Specially invited writer of Mathematical Culture (2018-now).

Publications

Academic book publications

 (” * ” means Mathematical Reviews):

  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. Republishing joint with Alpha Science International Ltd., Oxford, 2012. ISBN 978-1-84265-716-4.
  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 of Boston, 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 (author) and H. Pang (translator), Preconditioning Techniques for Toeplitz Systems (Chinese version), Higher Education Press, Beijing, 2013, vi+iii+121 pages. ISBN 978-7-04-036950-2.
  8. X. Jin, Y. Wei, and Z. Zhao, Numerical Linear Algebra and Its Applications, 2nd edition, Science Press, Beijing, 2015, x+188 pages. ISBN 978-7-03-046425-5.
  9. * X. Jin and S. Vong, An Introduction to Applied Matrix Analysis, Higher Education Press, Beijing; andWorld Scientific, Singapore, 2016, xiii+130 pages. ISBN 978-981-4749-46-6.

Academic journal publications

 (” ** ” 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 circulant 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 differential 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 secondorder 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 circulant 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 deficient 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 systems 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 constrained 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 solving ordinary differential equations, Appl. Math. Comput., vol. 140 (2003), pp. 409–418.
  34. * Z. Bai, X. Jin, and L. Song, Strang-type preconditioners for solving 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 solving constant-coefficient 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 preconditioner, 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 preconditioner, 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 Algebra 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 preconditioner, Linear Algebra Appl., vol. 407 (2005), pp. 11–18.
  49. ** M. Cai and X. Jin, BCCB preconditioners for solving linear systems 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 optimal 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 Asian Journal on Applied Mathematics, vol. 1 (2011), pp. 82–88.
  64. ** W. Shen, C. Li, and X. Jin, A Ulm-like method for inverse eigenvalue 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, An 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 Schrödinger 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 Nyström method for singularly perturbed Love’s integral equation, East Asian Journal on Applied Mathematics, vol. 3 (2013), pp. 48–58.
  73. * Z. Xie, W. Li, and X. Jin, On condition numbers for the canonical generalized polar decomposition of real matrices, Electron. J. Linear Algebra, vol. 26 (2013), pp. 842–857.
  74. ** F. Lin, S. Yang, and X. Jin, Preconditioned iterative methods for fractional diffusion equation, J. Comput. Phys., vol. 256 (2014), pp. 109–117.
  75. * S. Vong, X. Jin, and J. Wang, The mediating morphism of the multilinear optimal map, East Asian J. Appl. Math., vol. 4 (2014), pp. 82–87.
  76. ** X. Jin, Z. Zhao, and S. Tam, Optimal preconditioners for functions of matrices, Linear Algebra Appl., vol. 457 (2014), pp. 224–243.
  77. * Y. Zhang, H. Pang, L. Feng, and X. Jin, Quadratic finite element and preconditioning methods for options pricing in the SVCJ model, J. Comput. Finance, vol. 17 (3) (2014), pp. 3–30.
  78. ** Z. Zhao, Z. Bai, and X. Jin, A Riemannian Newton algorithm for nonlinear eigenvalue problems, SIAM J. Matrix Anal. Appl., vol. 36 (2015), pp. 752–774.
  79. ** W. Shen, C. Li, and X. Jin, An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues, Inverse Problems, vol. 31 (2015) 085007 (25pp).
  80. * C. Cheng, X. Jin, and S. Vong, A survey on the B¨ottcher and Wenzel conjecture and related problems, Oper. Matrices, vol. 9 (2015), pp. 659–673.
  81. * X. Jin, F. Lin, and Z. Zhao, Preconditioned iterative methods for twodimensional space-fractional diffusion equations, Commun. Comput. Phys., vol. 18 (2015), pp. 469–488.
  82. * Z. Bai, X. Jin, and T. Yao, Superoptimal preconditioners for functions of matrices, Numer. Math. Theory Methods Appl., vol. 8 (2015), pp. 515–529.
  83. * W. Xu, W. Li, and X. Jin, Backward error analysis for eigenproblems involving conjugate symplectic matrices, East Asian J. Appl. Math., vol. 5 (2015), pp. 312–326.
  84. ** Z. Zhao, X. Jin, and M. Lin, Preconditioned iterative methods for space-time fractional advection-diffusion equations, J. Comput. Phys., vol. 319 (2016), pp. 266–279.
  85. ** Z. Zhao, X. Jin, and Z. Bai, A geometric nonlinear conjugate gradient method for stochastic inverse eigenvalue problems, SIAM J. Numer. Anal., vol. 54 (2016), pp. 2015–2035.
  86. ** W. Shen, C. Li, X. Jin, and J. Yao, Newton-type method for inverse singular value problems with multiple singular values, Appl. Numer. Math., vol. 109 (2016), pp. 138–156.
  87. * W. Shen, C. Li, and X. Jin, An Ulm-like Cayley transform method for inverse eigenvalue problems with multiple eigenvalues, Numer. Math. Theory Methods Appl., vol. 9 (2016), pp. 664–685.
  88. * Z. Xie, X. Jin, and Y. Wei, A fast algorithm for solving circulant tensor systems, Linear Multilinear Algebra, vol. 65 (2017), pp. 1894–1904.
  89. * Z. Xie, X. Jin, and Z. Zhao, A convergence analysis of the MIRES method for some Hermitian inde nite systems, East Asian J. Appl. Math., vol. 7 (2017), pp. 827–836.
  90. ** Z. Xie, C. Cheng, and X. Jin, Some norm inequalities for commutators of contracted tensor products, Linear Algebra Appl., vol. 540 (2018), pp. 244–256.
  91. * Z. Xie, X. Jin, and Y. Wei, Tensor methods for solving symmetric M-tensor systems, J. Sci. Comput., vol. 74 (2018), pp. 412–425.
  92. ** Z. Zhao, Z. Bai, and X. Jin, A Riemannian inexact Newton-CG method for constructing nonnegative matrix with prescribed realizable spectrum, Numer. Math., vol. 140 (2018), pp. 827–855.
  93. ** C. Chiang, M. Lin, and X. Jin, Riemannian inexact Newton method for structured inverse eigenvalues and singular value problems, BIT, vol. 59 (2019), pp. 675–694.
  94. * Z. Xie, X. Jin, and V. Sin, An optimal preconditioner for tensor equations involving Einstein product, Linear Multilinear Algebra, vol. 68 (2020), to appear.
  95. ** T. Yao, Z. Bai, X. Jin, and Z. Zhao, A geometric Gauss-Newton method for least squares inverse eigenvalue problems, BIT, vol. 60 (2020), to appear.

Book contributions and proceedings publications

 (” * ” means Mathematical Reviews):
  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 differentialalgebraic 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 Developments 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 singularity, 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 of Boston, 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 of Boston 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 of Boston 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 eigenvalue 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. Acu˜na, Nova Science Pub., 2011.
  16. C. Cheng and X. Jin, Matrix decomposition, Encyclopedia of Social Network Analysis and Mining, vol. 2, pp. 880–890. Eds: R. Alhajj and J. Rokne, Springer, 2014.
  17. X. Jin, S. Vong, Z. Xie, and Z. Zhao, Some recent developments in matrix analysis and computation, Proceedings of the 7th ICCM (2016), vol. II, pp. 555–5xx. Eds: S. Y. Cheng, L. Yang, and S. T. Yau, International Press of Boston and Higher Education Press, 2019.

Non-academic journal publications

 (in Chinese):
  1. X. Jin, Meeting Prof. C. N. Yang three times, Mathematical Culture, vol. 8 (2017), no. 3, pp. 109–114.
  2. X. Jin, Recovering of university entry-examination – 40 years ago, Mathematical Culture, vol. 9 (2018), no. 1, pp. 106–111.
  3. X. Jin, Gone with ” The Romance of Three Kingdoms “, Mathematical Culture, vol. 9 (2018), no. 3, pp. 108–113.
  4. X. Jin, The story of accordion, Mathematical Culture, vol. 10 (2019), no. 1, pp. 95–100.
  5. X. Jin, My story of basketball, Mathematical Culture, vol. 10 (2019), no. 3, pp. 112–117.
  6. X. Jin, Travelling story of Yellow Mountain, Mathematical Culture, vol. 11 (2020), no. 1, pp. x–x.

Contact Details

Faculty of Science and Technology
University of Macau, E11
Avenida da Universidade, Taipa,
Macau, ChinaRoom: E11-3082

Telephone: (853) 8822-4390
Fax: (853) 8822-2426
Email: xqjin
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