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Distributed optimisation approach to least-squares solution of Sylvester equations 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2020, 卷号: 14, 期号: 18, 页码: 2968-2976
作者:  Deng, Wen;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：141/0  |  提交时间：2021/01/14
least squares approximations  distributed control  stability  distributed algorithms  continuous time systems  matrix algebra  convex programming  multi-robot systems  convex optimisation  distributed optimisation approach  least-squares solution  Sylvester equations  distributed algorithms  multiagent network  problem setup  interconnected system  local information  data matrices  neighbour agents  continuous-time algorithms  optimisation problem  
Distributed optimisation design for solving the Stein equation with constraints 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2019, 卷号: 13, 期号: 15, 页码: 2492-2499
作者:  Chen, Guanpu;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：144/0  |  提交时间：2020/05/24
least squares approximations  gradient methods  convergence  matrix algebra  concave programming  multi-agent systems  distributed optimisation design  Stein equations  set constraints  rows  columns  coefficient matrices  equivalent distributed optimisation problem  projection-based algorithm  least-squares solution  constrained Stein equation  multiagent system network  simplified distributed algorithm  
Distributed Computation of Linear Matrix Equations: An Optimization Perspective 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 5, 页码: 1858-1873
作者:  Zeng, Xianlin;  Liang, Shu;  Hong, Yiguang;  Chen, Jie
收藏  |  浏览/下载：167/0  |  提交时间：2020/01/10
Constrained convex optimization  distributed computation  least squares solution  linear matrix equation  substitutional decomposition  
Best approximate solution of matrix equation AXB+CY D=E 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2005, 卷号: 27, 期号: 3, 页码: 675-688
作者:  Liao, AP;  Bai, ZZ;  Lei, Y
收藏  |  浏览/下载：163/0  |  提交时间：2018/07/30
matrix equation  least-squares solution  best approximate solution  generalized singular value decomposition  canonical correlation decomposition  
Least-squares solution of AX B = D over symmetric positive semidefinite matrices X 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 2, 页码: 175-182
作者:  Liao, AP;  Bai, ZZ
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
least-squares solution  matrix equation  symmetric positive semidefinite matrix  generalized singular value decomposition