An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations
type: Item
instance of: scholarly article
title: An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations
zbMATH Open document ID: 1427.65057
published in: Applied Mathematics and Computation
publication date: 2019-07-10T00:00:00Z
Mathematics Subject Classification ID: 65F45
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7078846
zbMATH Keywords: generalized coupled Sylvester-transpose matrix equations
zbMATH Keywords: the least Frobenius norm
zbMATH Keywords: least squares solution
zbMATH Keywords: iterative method
zbMATH Keywords: numerical experiments
author: Bao-Hua Huang
author: Changfeng Ma
MaRDI profile type: Publication
full work available at URL: j.amc.2018.01.020
OpenAlex ID: W2789822513
cites work: The matrix equation AXB+CYD=E
cites work: Q5657947
cites work: The coupled Sylvester-transpose matrix equations over generalized centro-symmetric matrices
cites work: On the global Krylov subspace methods for solving general coupled matrix equations
cites work: Parallel computation of the solutions of coupled algebraic Lyapunov equations
cites work: Design of unknown input observers and robust fault detection filters
cites work: Singular control systems
cites work: The general coupled matrix equations over generalized bisymmetric matrices
cites work: The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices
cites work: On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations
cites work: An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
cites work: The \((R, S)\)-symmetric and \((R, S)\)-skew symmetric solutions of the pair of matrix equations \({A}_1 {XB}_1 = C_1\) and \(A_2 {XB}_2 = C_2\)
cites work: The generalized centro-symmetric and least squares generalized centro-symmetric solutions of the matrix equation AYB + CYTD = E
cites work: An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
cites work: Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
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: Complete parametric approach for eigenstructure assignment in a class of second-order linear systems
cites work: The solution to the matrix equation \(AV+BW=EVJ+R\).
cites work: Eigenstructure assignment in descriptor systems
cites work: Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - a survey and some new results
cites work: Extending the CGLS algorithm for least squares solutions of the generalized Sylvester-transpose matrix equations
cites work: New Finite Algorithm for Solving the Generalized Nonhomogeneous Yakubovich-Transpose Matrix Equation
cites work: Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices
cites work: Least squares solution of the linear operator equation
cites work: Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
cites work: Matrix form of the CGS method for solving general coupled matrix equations
cites work: Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations
cites work: The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations
cites work: The iteration solution of matrix equation \(A X B = C\) subject to a linear matrix inequality constraint
cites work: The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations
cites work: Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations
cites work: Q4040931
cites work: Eigenvalue-generalized eigenvector assignment by output feedback
cites work: Best Approximate Solution of Matrix Equation AXB+CYD=E
cites work: Least squares solution with the minimum-norm to general matrix equations via iteration
cites work: The solution to matrix equation \(AX+X^TC=B\)
cites work: Finite iterative method for solving coupled Sylvester-transpose matrix equations
cites work: Parametric Solutions to the Generalized Discrete Yakubovich-Transpose Matrix Equation
cites work: New approach to robust observer design
cites work: Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
cites work: Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\)
cites work: Finite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\)
cites work: Finite iterative solutions to coupled Sylvester-conjugate matrix equations
cites work: Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
cites work: Gradient based iterative solutions for general linear matrix equations
cites work: Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix
cites work: Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment
cites work: Solutions to a family of matrix equations by using the Kronecker matrix polynomials
cites work: On the generalized Sylvester mapping and matrix equations
DOI: 10.1016/J.AMC.2018.01.020
description: scientific article; zbMATH DE number 7078846