43 citations · 47 across the 6 of their papers we have counts for
7 papers
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…
Doubling algorithm for the discretized Bethe-Salpeter eigenvalue problem
Zhen-Chen Guo, Eric King-Wah Chu, Wen-Wei Lin
The discretized Bethe-Salpeter eigenvalue problem arises in the Green's function evaluation in many body physics and quantum chemistry. Discretization leads to a matrix eigenvalue…
Backward Errors and Small Sample Condition Estimation for -Sylveter Equations
Huai-An Diao, Hong Yan, Eric King-wah Chu
In this paper, we adopt a componentwise perturbation analysis for -Sylvester equations. Based on the small condition estimation (SCE), we devise the algorithms to estimate n…
Conic Optimization via Operator Splitting and Homogeneous Self-Dual Embedding
Brendan O'Donoghue, Eric Chu, Neal Parikh +1
We introduce a first order method for solving very large convex cone programs. The method uses an operator splitting method, the alternating directions method of multipliers, to so…
Message Passing for Dynamic Network Energy Management
Matt Kraning, Eric Chu, Javad Lavaei +1
We consider a network of devices, such as generators, fixed loads, deferrable loads, and storage devices, each with its own dynamic constraints and objective, connected by lossy ca…