Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Guo Zhen Chen"'
Autor:
Guo, Zhen-Chen, Liang, Xin
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-type methods is developed by integrating the core concept of the original
Externí odkaz:
http://arxiv.org/abs/2403.02940
Autor:
Guo, Zhen-Chen, Liang, Xin
Publikováno v:
SIAM J. Matrix Anal. Appl., 44(4):1749-1770, 2023
Stochastic algebraic Riccati equations, also known as rational algebraic Riccati equations, arising in linear-quadratic optimal control for stochastic linear time-invariant systems, were considered to be not easy to solve. The-state-of-art numerical
Externí odkaz:
http://arxiv.org/abs/2207.11220
Publikováno v:
Journal of Epidemiology and Global Health, Vol 14, Iss 1, Pp 131-141 (2024)
Abstract Backgrounds Breast cancer screening plays an important role in the early detection, diagnosis and treatment of breast cancer. The aim of this study was to evaluate the screening results and explore the influencing factors of breast cancer de
Externí odkaz:
https://doaj.org/article/007df7005bb44e27b06a3b83e32178d1
Autor:
Guo, Zhen-Chen, Liang, Xin
Publikováno v:
Numer. Alg., 93:227-267, 2023
In this paper we derive a Toeplitz-structured closed form of the unique positive semi-definite stabilizing solution for the discrete-time algebraic Riccati equations, especially for the case that the state matrix is not stable. Based on the found for
Externí odkaz:
http://arxiv.org/abs/2111.13003
Publikováno v:
IMA J. Numer. Anal., Volume 424, Issue 4, Pages 3735-3770, 2022
This paper focuses on studying the bifurcation analysis of the eigenstructure of the $\gamma$-parameterized generalized eigenvalue problem ($\gamma$-GEP) arising in three-dimensional (3D) source-free Maxwell's equations with Pasteur media, where $\ga
Externí odkaz:
http://arxiv.org/abs/2012.00479
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 recursions, enabling it to solve large-scale algebraic Riccati equations a
Externí odkaz:
http://arxiv.org/abs/2011.01494
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 iteration formulae in the alternating-directional doubling algorithm. We
Externí odkaz:
http://arxiv.org/abs/2011.00471
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 the required solutions to algebraic Riccati equations. However, for l
Externí odkaz:
http://arxiv.org/abs/2005.08288
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 problem for $H \in \mathbb{C}^{2n\times 2n}$ with a Hamiltonian-like s
Externí odkaz:
http://arxiv.org/abs/1801.00900
To solve the Bethe-Salpeter eigenvalue problem with distinct sizes, two efficient methods, called {\Gamma}QR algorithm and {\Gamma}-Lanczos algorithm, are proposed in this paper. Both algorithms preserve the special structure of the initial matrix $H
Externí odkaz:
http://arxiv.org/abs/1801.00884