The least squares anti-bisymmetric solution and the optimal approximation solution for Sylvester equation

DOI10.1016/j.amc.2015.02.056zbMath1390.15049OpenAlexW2037853750MaRDI QIDQ1636839

Gong-De Guo, Li-Ying Hu, Chang-Feng Ma

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.056

zbMATH Keywords

optimal approximationSylvester equationleast squares solutionanti-bisymmetric matrixmodified conjugate iterative method

Mathematics Subject Classification ID

Related Items (1)

Upper bounds and lower bounds for the Frobenius norm of the solution to certain structured Sylvester equation

Cites Work

• On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)
• A finite iterative algorithm for solving the generalized \((P,Q)\)-reflexive solution of the linear systems of matrix equations
• A modified gradient based algorithm for solving Sylvester equations
• On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
• A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
• Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
• Modified HSS iteration methods for a class of complex symmetric linear systems
• On the symmetric solutions of a linear matrix equation
• Iterative solution of the Lyapunov matrix equation
• SOR for \(AX-XB=C\)
• Symmetric solutions of linear matrix equations by matrix decompositions
• The constrained solutions of two matrix equations
• Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation
• Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
• Several splittings for non-Hermitian linear systems
• The optimal convergence factor of the gradient based iterative algorithm for linear matrix equations
• On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
• A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
• Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
• A Hessenberg-Schur method for the problem AX + XB= C
• Explicit solutions of the discrete-time Lyapunov matrix equation and Kalman-Yakubovich equations
• On the solution of the discrete-time Lyapunov matrix equation in controllable canonical form
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Best Approximate Solution of Matrix Equation AXB+CYD=E
• Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
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