Gradient based iterative algorithm for solving coupled matrix equations
type: Item
instance of: scholarly article
title: Gradient based iterative algorithm for solving coupled matrix equations
zbMATH Open document ID: 1159.93323
author: Bin Zhou
author: Guangren Duan
author: Zhao-Yan Li
published in: Systems \& Control Letters
publication date: 2009-04-30T00:00:00Z
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 5550246
zbMATH Keywords: gradient based iteration
zbMATH Keywords: coupled matrix equations
zbMATH Keywords: coupled Markovian jump Lyapunov matrix equations
zbMATH Keywords: maximal convergence rate
zbMATH Keywords: numerical solutions
zbMATH Keywords: Sylvester equations
describes a project that uses: KELLEY
MaRDI profile type: Publication
full work available at URL: j.sysconle.2008.12.004
OpenAlex ID: W2074678431
cites work: An explicit solution to the matrix equation \(AX - XF = BY\)
cites work: A new solution to the generalized Sylvester matrix equation \(AV-EVF=BW\)
cites work: On the generalized Sylvester mapping and matrix equations
cites work: On the solution to the Sylvester matrix equation AV+BW=EVF
cites work: Unitary dilation approach to contractive matrix completion.
cites work: \(\mathfrak H_ \infty\) design of general multirate sampled-data control systems
cites work: Iterative least-squares solutions of coupled sylvester matrix equations
cites work: New iterative algorithm for algebraic Riccati equation related to H/sub ∞/ control problem of singularly perturbed systems
cites work: Parallel algorithm for solving coupled algebraic Lyapunov equations of discrete-time jump linear systems
cites work: Gradient based iterative algorithms for solving a class of matrix equations
cites work: Q4841246
cites work: A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
cites work: Unified type non-stationary Lyapunov matrix equation. Simultaneous eigenvalue bounds
cites work: Iterative solutions of coupled discrete Markovian jump Lyapunov equations
cites work: Recursive blocked algorithms for solving triangular systems—Part I
cites work: Recursive blocked algorithms for solving triangular systems—Part II
cites work: Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
cites work: On Iterative Solutions of General Coupled Matrix Equations
cites work: Stability results for discrete-time linear systems with Markovian jumping parameters
cites work: Convergence of gradient-based iterative solution of coupled Markovian jump Lyapunov equations
cites work: State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
cites work: Q3128879
cites work: Weighted least squares solutions to general coupled Sylvester matrix equations
DOI: 10.1016/J.SYSCONLE.2008.12.004
description: scientific article; zbMATH DE number 5550246