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- 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**,*to appear in J. Comput. Phys.* - Z. Bai, D. Lu and B. Vandereycken,
**Robust Rayleigh quotient minimization and nonlinear eigenvalue problems**,*to appear in SIAM J. Sci. Comput.*(preprint (updated 8/1/18), and data and codes) - 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) -
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**,*Journal of Computational Mathematics, Vol.36, No.5, pp.739-760, 2018*, preprint, Codes and data - 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) - 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) - 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) -
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) - 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: http://dx.doi.org/10.1145/2870628 (preprint) -
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) -
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) - 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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