Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues. - Peter Benner; Xin Liang 004 (CoRR, 2020)

A decoupled form of the structure-preserving doubling algorithm with low-rank structures. - Zhen-Chen Guo; Eric King-Wah Chu; Xin Liang 004; Wen-Wei Lin (CoRR, 2020)

Highly accurate decoupled doubling algorithm for large-scale M-matrix algebraic Riccati equations. - Zhen-Chen Guo; Eric King-Wah Chu; Xin Liang 004 (CoRR, 2020)

Decoupled Structure-Preserving Doubling Algorithm with Truncation for Large-Scale Algebraic Riccati Equations. - Zhen-Chen Guo; Eric King-Wah Chu; Xin Liang 004; Wen-Wei Lin (CoRR, 2020)

Bifurcation Analysis of the Eigenstructure of the Discrete Single-curl Operator in Three-dimensional Maxwell's Equations with Pasteur Media. - Xin Liang 004; Zhen-Chen Guo; Tsung-Ming Huang; Tiexiang Li; Wen-Wei Lin (CoRR, 2020)

On Generalizing Trace Minimization. - Xin Liang 004; Li Wang 033; Lei-Hong Zhang; Ren-Cang Li (CoRR, 2021)

The intrinsic Toeplitz structure and its applications in algebra Riccati equations. - Zhen-Chen Guo; Xin Liang 004 (CoRR, 2021)

Stochastic algebraic Riccati equations are almost as easy as deterministic ones. - Zhen-Chen Guo; Xin Liang 004 (CoRR, 2022)

Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues. - Peter Benner; Xin Liang 004 (Numer. Linear Algebra Appl., 2022)

Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method. - Xiaojing Jia; Xin Liang 004; Chungen Shen; Lei-Hong Zhang (SIAM J. Matrix Anal. Appl., 2022)

The intrinsic Toeplitz structure and its applications in algebraic Riccati equations. - Zhen-Chen Guo; Xin Liang 004 (Numer. Algorithms, 2023)

On the optimality of the Oja's algorithm for online PCA. - Xin Liang 004 (Stat. Comput., 2023)

Stochastic Algebraic Riccati Equations Are Almost as Easy as Deterministic Ones Theoretically. - Zhen-Chen Guo; Xin Liang 004 (SIAM J. Matrix Anal. Appl., 2023)

ISC: an RADI-type method for stochastic continuous-time algebraic Riccati equations. - Zhen-Chen Guo; Xin Liang 004 (CoRR, 2024)