Recent Publications
(Copyrights are owned by the publisher of the journal/conference. PDF files here are provided as a convenience for one-time individual use only)

  1. Y. Su, T. Lu and Z. Bai, 2D eigenvalue problems I: existence and number of solutions arXiv:1911.08109, 2019.

  2. Y. Zhou, Z. Bai and R.-C. Li, Linear constrained Rayleigh quotient optimization: theory and algorithms, arXiv:1911.02770, 2019.

  3. C.-P. Lin, H. Xie, R. Grimes and Z. Bai, On the shift-invert Lanczos method for the buckling eigenvalue problems, arXiv:1910.08652, 2019.

  4. L. Zhang, L. Wang, Z. Bai and R.-C. Li, A self-consistent-field iteration for orthogonal canonical correlation analysis, arXiv:1909.11527v1, 2019.

  5. L. Wang, L. Zhang, Z. Bai and R.-C. Li, Orthogonal canonical correlation analysis and applications, Optimization Methods and Software, online, Jan. 20, 2020 (article online)

  6. Z. Bai, J. Dongarra, D. Lu and I. Yamazaki, Matrix Powers Kernels for Thick-Restart Lanczos with Explicit External Deflation, in the proceedings of the 33th IEEE International Parallel and Distributed Processing Symposium (IPDPS), May 2019 (preprint)

  7. R. Van Beeumen, O. Marques, E. G. Ng, C. Yang, Z. Bai, L. Ge, O. Kononenko, Z. Li, C. Ng and L. Xiao, Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation, J. Comput. Phys., Vol.374, pp.1031-1043, 2018 (preprint)

  8. Z. Bai, D. Lu and B. Vandereycken, Robust Rayleigh quotient minimization and nonlinear eigenvalue problems, SIAM J. Sci. Comput. Vol.40, No.5, pp.A3495-A3522, 2018 (preprint, and data and codes)

  9. Y. Cai, L.-H. Zhang, Z. Bai and R.-C. Li, On an eigenvector-dependent nonlnear eigenvalue problem, SIAM J. Matrix Anal. Appl. Vol.39, No.3, pp.1360-1382, 2018 (preprint)

  10. Y. Cai, Z. Bai, J. Pask and N. Sukumar, Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems, J. Comput. Math., Vol.36, No.5, pp.739-760, 2018, preprint, Codes and data

  11. N. C. Costa, W. Hu, Z. Bai, R. Scalettar and R. R. P. Singh, Principal component analysis for fermionic critical points, Phys. Rev. B, Vol.96, 195138, 2017 (preprint)

  12. Z. Bai and R.-C. Li, Recent progress in linear response eigenvalue problems, In Eigenvalue Problems: Algorithms, Software and Applications, in Petascale Computing, T. Sakurai, S.-L. Zhang, T. Imamura, Y. Yamamoto, Y. Kuramashi, and T. Hoshi (Eds.), LNCSE 117, Springer-Verlag, pp.287-304, 2017. (preprint)

  13. C. Jiang, H. Xie and Z. Bai, Robust and efficient computation of eigenvectors in a generalized spectral method for constrained clustering, In Proceedings of the 20th International Conference on Artificial Intelligence and Statistics, PMLR 54:757-766, 2017 (AISTATS 2017) (preprint, supplementary, software)

  14. A. Benali, Z. Bai, N. J. Curro, and R. T. Scalettar, Impurity-induced antiferromagnetic domains in the periodic Anderson model, Phys. Rev. B, Vol.94, 085132 (2016) (preprint)

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Copyrights are owned by the publisher of the journal/conference. PDF files here are provided as a convenience for one-time individual use only
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