4 citations · 4 across the 4 of their papers we have counts for
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Flexible fixed-point iteration and its applications for nonsymmetric algebraic Riccati equations
Zhen-Chen Guo, Xin Liang
In this paper, we reveal the intrinsic Toeplitz structure in the unique stabilizing solution for nonsymmetric algebraic Riccati equations by employing a shift-involved fixed-point…
An RADI-type method for stochastic continuous-time algebraic Riccati equations
Zhen-Chen Guo, Xin Liang
In this paper, we propose an RADI-type method for large-scale stochastic continuous-time algebraic Riccati equations with sparse and low-rank matrices. This new variant of RADI-typ…
Highly accurate decoupled doubling algorithm for large-scale M-matrix algebraic Riccati equations
Zhen-Chen Guo, Eric King-wah Chu, Xin Liang
We consider the numerical solution of large-scale M-matrix algebraic Riccati equations with low-rank structures. We derive a new doubling iteration, decoupling the four original it…
Decoupled Structure-Preserving Doubling Algorithm with Truncation for Large-Scale Algebraic Riccati Equations
Zhen-Chen Guo, Eric King-Wah Chu, Xin Liang +1
In \emph{Guo et al, arXiv:2005.08288}, we propose a decoupled form of the structure-preserving doubling algorithm (dSDA). The method decouples the original two to four coupled recu…
A decoupled form of the structure-preserving doubling algorithm with low-rank structures
Zhen-Chen Guo, Eric King-Wah Chu, Xin Liang +1
The structure-preserving doubling algorithm (SDA) is a fairly efficient method for solving problems closely related to Hamiltonian (or Hamiltonian-like) matrices, such as computing…