List of Publications

1. Solving Nurse Scheduling Problems via PyQUBO
   Matthew M. Lin, Yu-Chen Shu, Bing-Ze Lu, and Pei-Shan Fang*
   Annals of Mathematical Sciences and Applications, accepted, 2024 

2. Quantifying measurement-induced disturbance to distinguish correlations as classical or quantum
   Yu-Chen Shu, BingZe Lu, Kui-Yo Chen, and Matthew M. Lin*
   Journal of Scientific Computing, 99(1), 2024 

3. Efficient health screening: real-time schedule optimization
   Yu-Hsun Lee, Tzu-Wei Chen, Yu-Lin Shih, Chung-Hao Li, and Matthew M. Lin*
   Annals of Mathematical Sciences and Applications, accepted, 2023  

4. On the enumeration of subcells within hypercubes and Its application to the Borsuk-Ulam theorem
   Moody T. Chu and Matthew M. Lin*
   Numerical Algorithms, accepted, 2023  

5. Low-rank approximation to entangled multipartite quantum systems

Matthew M. Lin* and Moody T. Chu
Quantum Information Processing, 21(4), 2022  

6. Rank-1 approximation for entangled multipartite real systems
   Matthew M. Lin* and Moody T. Chu
   Journal of Scientific Computing, 91(1), 2022 

7. A complex-valued gradient flow for the entangled bipartite low rank approximation
   Moody T. Chu and Matthew M. Lin*
   Computer Physics Communications, 271, 108185, 2022.

8. Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation
   Moody T. Chu and Matthew M. Lin*
   SIAM Journal on Scientific Computing, 43(5), S448-S474, 2021

9. On the semigroup property for some structured iterations
   Matthew M. Lin and Chun-Yueh Chiang*
   Journal of Computational and Applied Mathematics, 374, 112768, 2020.

10. Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems
    Chun-Yueh Chiang, Matthew M. Lin*, and Xiao-Qing Jin
    BIT Numerical Mathematics, 59, 675-694, 2019.

11. An accelerated technique for solving one type of discrete-time algebraic Riccati equations
    Matthew M. Lin and Chun-Yueh Chiang*
    Journal of Computational and Applied Mathematics, 338, 91-110, 2018.

12. Integer matrix approximation and data mining
    Bo Dong, Matthew M. Lin*, and Haesun Park
    Journal of Scientific Computing, 75(1), 198-224, 2018.

13. An iterative method for solving the stable subspace of a matrix pencil and its application,
    Matthew M. Lin and Chun-Yueh Chiang*
    Linear and Multilinear Algebra, 66(7), 1279-1298, 2018.

14. Preconditioned iterative methods for space-time fractional advection-diffusion equations,
    Zhi Zhao, Xiao-Qing Jin, and Matthew M. Lin*
    Journal of Computational Physics, 319, 266-279, 2016.

15. An algorithm for constructing nonnegative matrices with prescribed real eigenvalues
    Matthew M. Lin*
    Applied Mathematics and Computation, 256(1), 582-590, 2015.

16. A note on Sylvester-type equations
    Matthew M. Lin and Chun-Yueh Chiang*
    Journal of the Franklin Institute, 352(5), 2171-2186, 2015.

17. On the finite rank and finite-dimensional representation of bounded semi-infinite Hankel operators
    Moody T. Chu and Matthew M. Lin*
    IMA Journal of Numerical Analysis, 35(3), 1256-1276, 2015.

18. A study of singular spectrum analysis with global optimization techniques
    Moody T. Chu, Matthew M. Lin*, and Liqi Wang
    Journal of Global Optimization, 60(3), 551-574, 2014.

19. Numerical methods for solving nonnegative inverse singular value problems with prescribed structure
    Sheng-Jhih Wu, Matthew M. Lin*
    Inverse Problems, 30(5), 055008, 14pp, 2014.

20. Nonnegative rank factorization -- a heuristic approach via rank reduction
    Bo Dong, Matthew M. Lin*, and Moody T. Chu
    Numerical Algorithms, 65(2), 251-254, 2014.

21. Perturbation Analysis of The Stochastic Algebraic Riccati Equation
    Chun-Yueh Chiang, Hung-Yuan Fan, Matthew M. Lin* and Hsin-An Chen
    Journal of Inequalities and Applications,2013, 2013.

22. The eigenvalue shift technique and its eigenstructure analysis of a matrix
    Chun-Yueh Chiang and Matthew M. Lin*
    Journal of Computational and Applied Mathematics, 253, 235-248, 2013.

23. Tensor spline approximation in economic dynamics with uncertainties
    Moody T. Chu*, Chun-Hung Kuo, and Matthew M. Lin
    Computational Economics (CSEM), 42(2), 175-198, 2013.

24. The shift techniques for a nonsymmetric algebraic Riccati equation
    Matthew M. Lin and Chun-Yueh Chiang*
    Applied Mathematics and Computation, 219(10), 5083-5095, 2013.

25. Discrete Eckart-Young theorem for integer matrices
    Matthew M. Lin*
    SIAM Journal on Matrix Analysis and Applications, 32(4), 1367-1382, 2011.

26. Dynamical system characterization of the central path and its variants -- a revisit
    Moody T. Chu* and Matthew M. Lin
    SIAM Journal on Applied Dynamical Systems, 10(3), 887-905, 2011.

27. On the nonnegative rank of euclidean distance matrices
    Matthew M. Lin and Moody T. Chu*
    Linear Algebra and its Applications, 433(3), 681-689, 2010.

28. Inverse mode problem for real symmetric quadratic models
    Matthew M. Lin, Bo Dong, and Moody T. Chu*
    Inverse Problems, 26(6), 065003, 2010.

29. Semi-definite programming techniques for structured quadratic inverse eigenvalue problems
    Matthew M. Lin*, Bo Dong, and Moody T. Chu
    Numerical Algorithms, 53(4), 419-437, 2010.

30. Parameter reconstruction of vibration systems from partial eigeninformation
    Bo Dong, Matthew M. Lin, and Moody T. Chu*
    Journal of Sound and Vibration, 327(3-6), 391-401, 2009.

31. Low dimensional polytope approximation and its applications to nonnegative matrix factorization
    Moody T. Chu* and Matthew M. Lin
    SIAM Journal on Scientific Computing, 30(3), 1131-1155, 2008.

Conference Proceedings

• The shifting technique for computing the extreme solutions of X + A^T X^{-1} A = Q
  Chun-Yueh Chiang and Matthew M. Lin*
  Matimyas Matematika, 34(1-2), 17-26, 2011.

Submitted Papers

• A Modified Spectral Projected Gradient Method for Tensor Approximations over Closed Convex Sets
  Matthew M. Lin and Chieu Thanh Nguyen

• Approximation of the Nearest Classical–Classical State to a Quantum State
  BingZe Lu, Matthew M. Lin, and Yu-Chen Shu 

• On the Nearest Kronecker Product Problem under Orthonormal Constraints
  Bing-Ze Lu, Matthew M. Lin