Matrix Computation


[J62] Ting-Li Chen, Su-Yun Huang, and Weichung Wang.
A Consistency Theorem for Randomized Singular Value Decomposition.
Statistics & Probability Letters, 161, pp. 1-6, 2020.

[J59] Tsung-Ming Huang, Wen-Wei Lin, Hsinhan Tsai and Weichung Wang.
Highly Efficient GPU Eigensolver for Three-Dimensional Photonic Crystal Band Structures with Any Bravais Lattice.
Computer Physics Communications, 245, 106841, 2019.

[J57] Tsung-Ming Huang, Wen-Wei Lin, Weichung Wang.
Matrix representations of discrete differential operators and operations in electromagnetism.
Annals of Mathematical Sciences and Applications, 4(1), pp. 55-79, 2019.

[J56] Cheng-Han Du, Yih-Peng Chiou, and Weichung Wang.
Compressed Hierarchical Schur Algorithm for Frequency-domain Analysis of Photonic Structures.
Taiwanese Journal of Mathematics, 23(2), pp. 473-501, 2019.

[J54] Yuan-Sen Yang, Weichung Wang, and Jia-Zhang Lin.
Direct-iterative Hybrid Solution in Nonlinear Dynamic Structural Analysis.
Computer-Aided Civil and Infrastructure Engineering, 32(5), pp. 397-411, 2017.

[J52] Tsung-Ming Huang, Wen-Wei Lin, and Weichung Wang*.
A Hybrid Jacobi-Davidson Method for Interior Cluster Eigenvalues with Large Null-Space in Three Dimensional Lossless Drude Dispersive Metallic Photonic Crystals.
Computer Physics Communications, 207, pp. 221-231, 2016.

[J49] Ruey-Lin Chern, Han-En Hsieh, Tsung-Ming Huang, Wen-Wei Lin, and Weichung Wang*.
Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell’s Equations for Complex Media.
SIAM Journal on Matrix Analysis and Applications, 36(1), pp. 203-224, 2015.

[J48] Jen-Hao Chen, I-Liang Chern*, and Weichung Wang.
A Complete Study of the Ground State Phase Diagrams of Spin-1 Bose-Einstein Condensates in a Magnetic Field via Continuation Methods.
Journal of Scientific Computing, 64(1), pp. 35-54, 2015.

[J44] Ray-Bing Chen, Yaohung M. Tsai, and Weichung Wang*.
Adaptive Block Size for Dense QR Factorization in Hybrid CPU-GPU Systems via Statistical Modeling.
Parallel Computing, 40(5-6), pp. 70-85, 2014.

[J43] Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin, and Weichung Wang*.
Eigenvalue Solvers for Three Dimensional Photonic Crystals with Face-Centered Cubic Lattice.
Journal of Computational and Applied Mathematics, 272, pp. 350-361, 2014.

[J42] Chenhan D. Yu and Weichung Wang*.
Performance Models and Workload Distributions for Optimizing a Hybrid CPU-GPU Multifrontal Solver.
Computers and Mathematics with Applications, 67(7), pp. 1421-1437, 2014.

[J40] Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin, and Weichung Wang*.
Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three Dimensional Photonic Crystals.
SIAM Journal on Matrix Analysis and Applications, 34(2), pp. 369-391, 2013.

[J38] Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin, and Weichung Wang.
Matrix Representation of the Double-Curl Operator for Simulating Three Dimensional Photonic Crystals.
Mathematical and Computer Modelling, 58(1-2), pp. 379-392, 2013.

[J37] Tsung-Ming Huang, Yueh-Cheng Kuo, and Weichung Wang*.
Computing Extremal Eigenvalues for Three-Dimensional Photonic Crystals with Wave Vectors Near the Brillouin Zone Center.
Journal of Scientific Computing, 55(3), pp. 529-551, 2013.

[J31] Chenhan D. Yu, Weichung Wang*, and Dan'l Pierce.
A CPU–GPU hybrid approach for the unsymmetric multifrontal method.
Parallel Computing, 37, pp. 759-770, 2011.

[J29] Tsung-Ming Huang, Feng-Nan Hwang*, Sheng-Hong Lai, Weichung Wang, and Zih-Hao Wei.
A Parallel Polynomial Jacobi-Davidson Approach for Dissipative Acoustic Eigenvalue Problems.
Computers and Fluids, 45, pp. 207-214, 2011.

[J24] Tsung-Ming Huang, Wei-Jen Chang, Yin-Liang Huang, Wen-Wei Lin, Wei-Cheng Wang, and Weichung Wang*.
Preconditioning Bandgap Eigenvalue Problems in Three Dimensional Photonic Crystals Simulations.
Journal of Computational Physics, 229, pp. 8684-8703, 2010.

[J23] Tsung-Ming Huang, Weichung Wang*, and Chang-Tse Lee.
An Efficiency Study of Polynomial Eigenvalue Problem Solvers for Quantum Dot Simulations.
Taiwanese Journal of Mathematics, 14 (3A), pp. 999-1021, 202X.

[J21] Feng-Nan Hwang, Zih-Hao Wei, Tsung-Ming Huang, and Weichung Wang*.
A Parallel Additive Schwarz Preconditioned Jacobi-Davidson Algorithm for Polynomial Eigenvalue Problems in Quantum Dot Simulation.
Journal of Computational Physics, 229(8), pp. 2932-2947, 2010.

[J18] Tsung-Min Hwang, Wei-Hua Wang, and Weichung Wang*.
Efficient Numerical Schemes for Electronic States in Coupled Quantum Dots.
Journal of Nanoscience and Nanotechnology, 8(7), pp. 3695-3709, 2008.

[J13] Tsung-Min Hwang and Weichung Wang*.
Energy States of Vertically Aligned Quantum Dot Array with Nonparabolic Effective Mass.
Computers and Mathematics with Applications, 49, pp. 39-51, 2005.

[J12] Tsung-Min Hwang, Wen-Wei Lin*, Jinn-Liang Liu, Weichung Wang.
Jacobi-Davidson Methods for Cubic Eigenvalue Problems.
Numerical Linear Algebra with Applications, 12, pp. 605-624, 2005.

[J10]Tsung-Min Hwang, Wen-Wei Lin, Wei-Cheng Wang, and Weichung Wang*.
Numerical Simulation of Three Dimensional Pyramid Quantum Dot.
Journal of Computational Physics, 196(1), pp. 208-232, 2004.

[J8] Weichung Wang*, Tsung-Min Hwang, Wen-Wei Lin, and Jinn-Liang Liu.
Numerical Methods for Semiconductor Heterostructures with Band Nonparabolicity.
Journal of Computational Physics, 190(1), pp. 141-158, 2003.

[J4] Weichung Wang*.
The convergence of an interior point method using modified search directions in final iterations.
Computers and Mathematics with Applications, 44(3-4), pp. 347-356, 2002.

[J2] Weichung Wang and Dianne P. O'Leary*.
Adaptive use of iterative methods in predictor-corrector interior point methods for linear programming.
Numerical Algorithms, 25, pp. 387-406, 2000.

[J1] Weichung Wang*.
Final iterations in interior point methods-preconditioned conjugate gradients and modified search directions.
Journal of the Australian Mathematical Society Series B, 41, pp. 312-328, 2000.