Refereed Papers:

1. A.-H Kao, P.-Z. Kow, and Y.-C. Kuo, (2025), A neural-network-free approach to signal reconstruction, Appl. Math. Mod. Chall. 6, 15-23.

2. T.-M Huang, Y.-C. Kuo, R.-C Li, and W.-W. Lin, (2025), Numerical Solutions for Stochastic Continuous-Time Algebraic Riccati Equations, SIAM Matrix Anal. Appl., Vol 46, Iss. 3.

3. Y.-C. Kuo, H.-E. Lin and S.-F. Shieh, (2025), Asymptotic analysis of generalized orthogonal flows, Lin. Alg. Appl., Vol 717, 1-25.

4. T.-M Huang, Y.-C. Kuo, W.-W. Lin and C.-T. Wu, (2024), An Optimal Parameterized Newton-Type Structure-Preserving Doubling Algorithm for Impact Angle Guidance based 3D Pursuer/Target Interception Engagement, Aerospace Science and Technology, Vol 155, 109674.

5. C. Y. Chen, Y.-C. Kuo, and T. F. Wu, (2024), On the nonlinear Schrödinger-Poisson systems with positron-electron interaction, Journal of Differential Equations, Vol 408, 368-408.

6. T.-M Huang, Y.-C. Kuo, W.-W. Lin and S.-F. Shieh, (2024), Structure-Preserving doubling algorithms that avoid breakdowns for algebraic Riccati-type matrix equations, SIAM Matrix Anal. Appl., Vol 45, Iss. 1.

7. Y.-C. Kuo, H.-E. Lin and S.-F. Shieh, (2023), The Orthogonal flows for orthogonal iteration, Lin. Alg. Appl., Vol 679, 67-85.

8. Y.-C. Kuo and C. S. Liu, (2023), An index search method based inner-outer iterative algorithm for solving nonnegative least squares problems,  J. Comp. Appl. Math., Vol 424, 114954.

9. C. Y. Chen, Y.-C. Kuo, K. H. Wang and T. F. Wu, (2022) On non-local elliptic equations with sublinear nonlinearities involving an eigenvalue problem, Mathematical Methods in the Applied Sciences, Vol 46 (6), 7454-7465.

10. Y.-C. Kuo and S.-F. Shieh, (2022), Boundary Effects on Eigen-problems of Discrete Laplacian in Lattices, Taiwanese J. Math. 26 (5), 1045-1068.

11. C.-Y. Chen, Y.-C. Kuo, K.-H. Wang, T.-F. Wu, (2022), On non-local nonlinear elliptic equations involving an eigenvalue problem, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116:45. 

12. Y.-C. Kuo, W.-W. Lin, M.-H. Yueh, and S.-T. Yau, (2021), Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations, SIAM J. Imag. Sci.,  14(4), 1790-1815.

13. F.-S. Hsu, Y.-C. Kuo, and C. S. Liu, (2021), Continuation methods for nonnegative rank-1 approximation of nonnegative tensors, Numerical Linear Algebra with Applications, 28(6), e2398.

14. Y.-C. Kuo, Huey-Er Lin, and S.-F. Shieh, (2021), Asymptotic dynamics of hermitian Riccati difference equations, Discrete and Continuous Dynamical Systems-Series B, 26(4), 2037-2053.

15. Y.-C. Kuo, H.-C. Cheng, J.-Y. Syu and S.-F. Shieh, (2021), On the nearest stable 2 × 2 matrix, dedicated to Prof. Sze-Bi Hsu in appreciation of his inspiring ideas, Discrete and Continuous Dynamical Systems-Series B, 26(4), 2025-2035.

16. Y.-C. Kuo, H.-E. Lin and S.-F. Shieh, (2020), Time-asymptotic Dynamics of Hermitian Riccati Differential Equations, Taiwanese J. Math., Vol 24, 131-158.

17. Y.-C. Kuo, W.-W. Lin and S.-F. Shieh, (2019), A structure-preserving flow for computing Hamiltonian matrix exponential, Numer. Math., 143, 555–582.

18. Y.-C. Kuo and T. L. Lee, (2018), Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method, Lin. Alg. Appl., Vol 556, 238-264. 

19. Y.-C. Kuo, W.-W. Lin, and C. S. Liu, (2018), Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors, J. Comp. Appl. Math. 2018, Vol 340, 71-88, 

20. Y.-C. Kuo, W.-W. Lin and S.-F. Shieh, (2017) The Asymptotic Analysis of the Structure-Preserving Doubling Algorithms. Lin. Alg. Appl., Vol 531, 318-355. 

21. L. Lu, T. Wang, Y.-C. Kuo, R.C. Li, and W.-W. Lin, (2016) A Fast Algorithm for Fast Train Palindromic Quadratic Eigenvalue Problems, SIAM J. Sci. Comp., Vol. 38, No. 6, A3410-A3429.

22. Y.-C. Kuo, W.-W. Lin, and S.-F. Shieh, (2016) Structure-Preserving Flows of Symplectic Matrix Pairs, SIAM Matrix Anal. Appl.,Vol. 37, No. 3, 976-1001.

23. Y.-C. Kuo, W.-W. Lin and S.-T. Yau, (2014) A novel efficient homotopy continuation method in tracking, Commun. Inf. Systems., Vol. 14, No. 1, 57-78.

24. Y.-C. Kuo, and T. L. Lee, (2014) Tracking local optimality for cost parameterized optimization problem, Comput. Phys. Comm., Vol. 185, 572-577.

25. T. Li, E. K. W. Chu, Y.-C. Kuo and W.-W. Lin, (2013) Solving Large-Scale nonsymmetric algebraic Riccati equations by Doubling, SIAM Matrix Anal. Appl., Vol. 34, No. 3, 1129-1147. 

26. T.-M Huang, Y.-C. Kuo and W. Wang*, (2013) Computing Extremal Eigenvalues for Three-dimensional Photonic Crystals with Wave Vectors Near the Brillouin Zone Center, Journal of Scientific Computing, Vol. 55, 529-551.

27. P. Weng, E. K. W. Chu, Y.-C. Kuo and W.-W. Lin, (2013) Solving Large-Scale nonlinear Matrix Equations by Doubling, Lin. Alg. Appl., Vol. 439, 914-932. 

28. C. H. Guo, Y.-C. Kuo and W.-W. Lin (2012). Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research. J. Comput. Appl. Math., 236, 4166-4180. 

29. C. Y. Chen, Y.-C. Kuo and T. F. Wu, (2013) Existence and multiplicity of positive solutions for the nonlinear Schrodinger-Poisson equations, Proceedings of the Royal Society of Edinburgh Sect. A, Vol. 143, 745-764. 

30. Y.-C. Kuo and S.-F. Shieh (2012). A Structure-Preserving Curve for Symplectic Pairs and Its Applications. SIAM Matrix Anal. Appl., Vol. 33, No. 2, 597-616. 

31. Y.-C. Kuo, S.-F. Shieh, and W. Wang* (2012). Rotational Quotient Procedure: a Tracking Control Continuation Method for PDEs on Radially Symmetric Domains. Comput. Phys. Comm., Vol. 183, 998-1001. 

32. C. H. Guo, Y.-C. Kuo and W.-W. Lin (2012). On a Nonlinear Matrix Equation Arising in Nano Research. SIAM Matrix Anal. Appl., Vol. 33, No. 1, 235-262. 

33. Y.-C. Kuo and B. N. Datta, (2012) Quadratic Model Updating with No Spill-over and Incomplete Measured Data : Existence and Computation of solution, Lin. Alg. Appl., Vol. 436, 2480-2493. 

34. C. H. Guo, Y.-C. Kuo and W.-W. Lin, (2011) Complex Symmetric Stabilizing Solution of the Matrix Equation X + X^{\top}X^{-1}A = Q, Lin. Alg. Appl., Vol. 435, 1187-1192. 

35. C. Y. Chen, Y.-C. Kuo and T. F. Wu, (2011) The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions, Journal of Differential Equations, 250, 1876-1908. 

36. Y.-C. Kuo, W.-W. Lin, S.-F. Shieh, and W. Wang* (2011). Exploring Bistability in Rotating Bose-Einstein Condensates by a Quotient Transformation Invariant Continuation Method. Physica D, Vol. 240: 78-88. 

37. Y.-C. Kuo, W.-W. Lin, S.-F. Shieh, and W. Wang (2010). A Hyperplane-Constrained Continuation Method for Near Singularity in Coupled Nonlinear Schrodinger Equations, Applied Numerical Mathematics, 60:513-526. 

38. Y.-C. Kuo , W.-W. Lin , S.-F. Shieh, and W. C. Wang (2009). A Minimal Energy Tracking Continuation Method for Coupled Nonlinear Schrodinger Equations, J. Comput. Physics, Vol. 228, Issues 21, 7941-7956. 

39. Y. F. Cai, Y.-C. Kuo, W.-W. Lin and S. F. Xu (2009), Solutions to the Quadratic Inverse Eigenvalue Problem, Lin. Alg. Appl., Vol. 430, 1590-1606. 

40. Y.-C. Kuo and S.-F. Shieh (2008), Phase Separation of Multi-Component Bose-Einstein Condensates in Optical Lattices, J. Math. Anal. Appl., Vol. 347, 521-533. 

41. Y.-C. Kuo and T. Y. Li (2007). Determining dimension of the solution component that contains a computed zero of a polynomial system, J. Math. Anal. Appl., Vol. 338, (2), 840-851. 

42. Y.-C. Kuo, W.-W. Lin, and S. F. Xu (2006). Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem, SIAM Matrix Anal. Appl., Vol. 29, No. 1, 33-53. 

43. Y.-C. Kuo, W.-W. Lin, and S. F. Xu (2006). New Methods for Finite Element Model Updating Problems, AIAA J., Vol. 44, No. 6, 1310-1316.

44. Y.-C. Kuo, W.-W. Lin and S. F. Xu (2005). New Model Correcting Method for Quadratic Eigenvalue Problems Using a Symmetric Eigenstructure Assignment, AIAA J., Vol. 43, No. 12, pp. 2593-2598.

45. Y.-C. Kuo, W.-W. Lin, and S.-F. Shieh (2005). Bifurcation Analysis of a Two-Component Bose-Einstein Condensate, Physica D, Vol. 211, Issues 3-4, 311-346. 

46. S. M. Chang, Y.-C. Kuo, W.-W. Lin, and S.-F. Shieh (2005). A Continuation BSOR-Laczos-Galerkin Method for Positive Bound States of a Multi-Component Bose-Einstein Condensate, J. Comput. Physics, Vol. 210, Issue 2, 439-458. 

47. Y.-C. Kuo, W.-W. Lin, and S. F. Xu (2004). Regularization of Singular Linear Discrete-Time Periodic Systems by Derivative and Proportional State Feedback, SIAM Matrix Anal. Appl., Vol. 25, No. 4, 1046-1073. 

48. M. T. Chu, Y.-C. Kuo, and W.-W. Lin (2004). On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure, SIAM Matrix Anal. Appl., Vol. 25, No. 4, 995-1020.