Two modified least-squares iterative algorithms for the Lyapunov matrix equations
type: Item
instance of: scholarly article
title: Two modified least-squares iterative algorithms for the Lyapunov matrix equations
zbMATH Open document ID: 1485.65048
author: M. Sun
author: Jing Liu
author: Yiju Wang
published in: Advances in Difference Equations
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 65F45
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7489640
zbMATH Keywords: least-squares iterative algorithm
zbMATH Keywords: Lyapunov matrix equations
zbMATH Keywords: hierarchical identification principle
MaRDI profile type: Publication
full work available at URL: s13662-019-2253-7
OpenAlex ID: W2964799433
cites work: On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)
cites work: On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)
cites work: Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle
cites work: Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
cites work: Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations
cites work: On solutions to the matrix equations \(XB-AX=CY\) and \(XB-A\hat{X}=CY\)
cites work: The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations
cites work: Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
cites work: Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
cites work: Iterative least-squares solutions of coupled sylvester matrix equations
cites work: Gradient based iterative solutions for general linear matrix equations
cites work: On Iterative Solutions of General Coupled Matrix Equations
cites work: Developing CRS iterative methods for periodic Sylvester matrix equation
cites work: Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theorem
cites work: The iterative methods for solving nonlinear matrix equation \(X+A^\star X^{-1}A+B^{\star}X^{-1}B=Q\)
cites work: Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
cites work: Generalized Peaceman-Rachford splitting method for multiple-block separable convex programming with applications to robust PCA
Wikidata QID: Q127434817
DOI: 10.1186/S13662-019-2253-7
description: scientific article; zbMATH DE number 7489640