3 papers
math.NA2026
Compensated Splitting For Generalized Lyapunov Equations
Hongjia Chen, Ren-Cang Li
The generalized Lyapunov equation has a natural splitting that leads to the standard fixed-point iteration (sFPI) for its numerical solution. sFPI is convergent, for an arbitrarily…
math.NA2026
Efficient Solution of Generalized Sylvester Equations via Preconditioned Alternating Anderson Acceleration
Hongjia Chen, Chun-Hua Zhang, Zhongming Teng +1
This paper considers the numerical solution of generalized Sylvester matrix equations, which arise in many scientific and engineering applications but remain challenging to solve e…
math.NA2023
Algorithms for square root of semi-infinite quasi-Toeplitz -matrices
Hongjia Chen, Hyun-MIn Kim, Jie Meng
A quasi-Toeplitz -matrix is an infinite -matrix that can be written as the sum of a semi-infinite Toeplitz matrix and a correction matrix. This paper is concerned with co…