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. Z. Bai, D. Lu and B. Vandereycken, Robust Rayleigh quotient minimization and nonlinear eigenvalue problems (preprint, and data and codes)

  2. Y. Cai, L.-H. Zhang, Z. Bai and R.-C. Li, On an eigenvector-dependent nonlnear eigenvalue problem (preprint), submitted

  3. 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, to appear in Journal of Computational Mathematics , preprint, Codes and data

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

  5. 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)

  6. 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)

  7. 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)

  8. C. K. Garrett, Z. Bai and R.-C. Li, A nonlinear QR algorithm for banded nonlinear eigenvalue problems, ACM Trans. Math. Softw. 43(1), Article 4, 2016, 19 pages. DOI: (preprint)

  9. Z. Bai, R.-C. Li and W. Lin, Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods, Science China Mathematics Vol.59, pp.1443-1460, 2016. doi:10.1007/s11425-016-0297-1 (preprint, data and matlab codes) (Link to the special issue to commemorate ICIAM 2015)

  10. C. Jiang, Z. Bai, R. Scalettar, A fast selected inversion algorithm for Green's function calculation in many-body quantum Monte Carlo simulations, in the proceedings of the 30th IEEE International Parallel and Distributed Processing Symposium (IPDPS), May 2016 (preprint)

  11. D. Lu, Y. Su and Z. Bai, Stability analysis of two-level orthogonal Arnoldi procedure, SIAM J. Matrix Anal. Appl. 37(1), pp.192-214, 2016 (preprint) and Website

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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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