Ph.D. Student

Ph.D.

"Rank revealing QR, LU Factorizations and Relaxing Path Following Algorithm for Linear Convex Quadratic Programming"

"On the Non-equivalence Deflations for Solving λ-Matrix Eigenvalue Problems"

Kun-Yi Lin, (1996)

“Numerical Algorithms for Solving Large Sparse Structure Eigenvalue Problems”

Shih-Shien You, (1996), co-advised with Prof. Jenq-Neng Hwang

“The Growing and Pruning of Neural Network Learning: A Projection Pursuit Perspective”

Quan-Fu Xu, (1999)

“Eigenspace Approach to H Control Problems with Numerical Computation of the Optimum Norm”

Chung-Hsing Hu, (1999), co-advised with Prof. Yen-Wan Hsueh Liu

“A Core Perturbation Method with a Davidson Algorithm”

Wen-Bin Tsai, (2000)

“Convergence Acceleration by Varying Time Step-size for Turbulent Flow Computation”

“Synchronization and Controlling Chaos for Chaotic Dynamical Systems”

Shyh-Wen Chen, (2001)

“Conley Index Theory with Applications to Cellular Neural Networks”

“Numerical Study of Multi-Component Bose-Einstein Condensates”

“Numerical Study of Algebraic Riccati Equations and Balanced Realization of Periodic Descriptor Systems”

“Inverse Eigenvalue Problems for Periodic Matrix Pencil and Quadratic Pencil”

“Convergence Analysis of the Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations”

Chung-Che Hu, (2009)

“Isotropic and Nonisotropic Chaotic Vibrations of the 1D Wave System”

Chien-Chih Huang, (2010)

“Chaos Based Cryptography and Spatial-Temporal Chaotic System Stream Cipher”

“Inexact Iterative Methods For Solving Eigenvalue Problems”

“Efficient Arnoldi-Type Algorithms for Quadratic and Rational Eigenvalue Problems”

Wei-Shuo Su, (2013)

“Palindromic Quadratization and Structure-Preserving Algorithm for Palindromic Matrix Polynomials”

Te-Hsuan Chen, (2015)

“Chaotic orbits for differentiable maps near anti-integrable limits”

Han-En Hsieh, (2016)

“Eigen-Decomposition of Discrete Curl Type Operators and Its Applications for Maxwell's Equations”

Wei-De Li, (2017)

“Eigenvalue Problems of Discrete Curl Operators on Various Lattices for Simulating Three Dimensional Photonic Crystals”

“Surface Conformal and Equiareal Parameterizations with Applications”

Jia-Wei Lin, (2020)

“Structure-Preserving Algorithms for Computing Band Structure of Dispersive Anisotropic Photonic Crystals”

Ph.D. Student

  • Hsiao-Han Huang (2018 - current)

  • Sheng Wang (2019 - current)