Publications:

1. Yueh-Cheng Kuo and Ching-Sung Liu (2023), An index search method based inner-outer iterative algorithm for solving nonnegative least squares problems,  Journal of Computational and Applied Mathematics 424, 114954.

2. Chun-Hua Guo, Wen-Wei Lin and Ching-Sung Liu (2022), A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors, Applied Mathematics Letters, 136, 108454.

3. Yi-Shin Cheng  and Ching-Sung Liu (2022), Index search method for solving nonnegative matrix factorization, Annals of Mathematical Sciences and Applications 7 (2), 281-300.

4. Chang-En Du and Ching Sung Liu (2022), Newton-Noda iteration for computing the ground states of nonlinear Schrödinger equations, SIAM Journal on Scientific Computing 44 (4), A2370-A2385.

5. Ching-Sung Liu (2022), Exact and inexact iterative methods for finding the largest eigenpair of a weakly irreducible nonnegative tensor, Journal of Scientific Computing 91 (3), 78.

6. Fu-Shin Hsu, Yueh-Cheng Kuo, Ching-Sung Liu, (2021), Continuation methods for nonnegative rank-1 approximation of nonnegative tensors, Numerical Linear Algebra with Applications 28 (6), e23980.

7. Ching-Sung Liu (2020), A positivity preserving iterative method for finding the ground states of saturable nonlinear Schrödinger equations, Journal of Scientific Computing 84 (3), 41. 

8. Chun-Hua Guo, Wen-Wei Lin and Ching-Sung Liu (2019), A modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensor, Numerical Algorithms 80 (2), 595-616.

9. Yueh-Cheng Kuo, Wen-Wei Lin, and Ching-Sung Liu (2018), Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors, Journal of Computational and Applied Mathematics 340, 71-88.

10. Ching Sung Liu, Chun-Hua Guo, and Wen-Wei Lin (2017), Newton--Noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor, Numerische Mathematik 137 (1), 63-90.

11. Ching-Sung Liu and Che-Rung Lee (2017). On the structured backward error of inexact Arnoldi methods for (skew)-Hermitian and (skew)-symmetric eigenvalue problems, BIT Numerical Mathematics 57 (4), 1083-1108.

12. Ching Sung Liu, Chun-Hua Guo, and Wen-Wei Lin (2016), A positivity preserving inverse iteration for finding the Perron pair of an irreducible nonnegative third order tensor, SIAM Journal on Matrix Analysis and Applications 37 (3), 911-932.

13. Zhongxiao Jia, Wen-Wei Lin and Ching-Sung Liu (2015). A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible M-matrix, Numerische Mathematik 130 (4), 645–679.

Submitted Papers:

Projects and solvers:

1. Newton-Noda iteration for nonnegative tensors

2. Newton-Noda iteration for nonlinear Schrödinger equations

3. Index search method

4.  Nonnegative matrix factorization