Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems. - Hongjia Chen 001; Yasuyuki Maeda; Akira Imakura; Tetsuya Sakurai; Françoise Tisseur (JSIAM Lett., 2017)

Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem. - Hongjia Chen 001; Jie Meng; Tetsuya Sakurai; Xiang Wang 016 (Numer. Linear Algebra Appl., 2019)

Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh-Ritz type contour integral-based eigensolver. - Hongjia Chen 001; Lei Du (Appl. Math. Lett., 2020)

Backward error analysis of linearizing-balancing strategies for heavily damped quadratic eigenvalue problem. - Hongjia Chen 001; Lei Du; Zongqi Cao (Appl. Math. Lett., 2021)

On the Backward Error Incurred by the Compact Rational Krylov Linearization. - Hongjia Chen 001; Kuan Xu (J. Sci. Comput., 2021)

The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method. - Hongjia Chen 001; Ke Zhang; Tetsuya Sakurai (Numer. Linear Algebra Appl., 2022)

A novel spectral clustering algorithm based on neighbor relation and Gaussian kernel function with only one parameter. - Hao Zhou; Zekun Wang; Hongjia Chen 001; Xiang Wang 016 (Soft Comput., 2024)

Algorithms for Square Root of Semi-Infinite Quasi-Toeplitz M-Matrices. - Hongjia Chen 001; Hyun-Min Kim; Jie Meng (J. Sci. Comput., 2024)

Solving the quadratic eigenvalue problem expressed in non-monomial bases by the tropical scaling. - Hongjia Chen 001; Teng Wang; Chun-Hua Zhang; Xiang Wang 016 (Adv. Comput. Math., 2024)

On perturbations for spectrum and singular value decompositions followed by deflation techniques. - Zekun Wang; Hongjia Chen 001; Zhongming Teng; Xiang Wang 016 (Appl. Math. Lett., 2025)

Clustering single-cell data based on a deep embedded subspace model. - Zekun Wang; Lei Chen; Hongjia Chen 001; Xiang Wang 016 (Comput. Appl. Math., 2025)