An iterative algorithm for robust simulation of the Sylvester matrix differential equations

DOI10.1186/s13662-020-02757-zzbMath1482.65066OpenAlexW3034927248MaRDI QIDQ2078493

Samaneh Panjeh Ali Beik, Kazem Nouri, Leila Torkzadeh, Dumitru Baleanu

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02757-z

zbMATH Keywords

iterative algorithmcollocation methodChebyshev polynomialscoupled linear matrix equationsSylvester matrix differential equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10) Numerical methods for matrix equations (65F45)

Related Items

Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm ⋮ A numerical approach based on Bernstein collocation method: application to differential Lyapunov and Sylvester matrix equations

Cites Work

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• On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations
• Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
• A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
• Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
• Contour integral solutions of Sylvester-type matrix equations
• An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
• An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
• Finite-time stability of linear non-autonomous systems with time-varying delays
• Developing CRS iterative methods for periodic Sylvester matrix equation
• Approximating and computing nonlinear matrix differential models
• A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation
• An efficient spectral collocation algorithm for nonlinear Phi-four equations
• Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations
• The double-step scale splitting method for solving complex Sylvester matrix equation
• A new method for the bisymmetric minimum norm solution of the consistent matrix equations \(A_1XB_1 = C_1\), \(A_2XB_2 = C_2\)
• A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations
• Numerical solutions of matrix differential models using cubic matrix splines. II
• Iterative least-squares solutions of coupled sylvester matrix equations
• Pseudospectral solutions to some singular nonlinear BVPs
• Lyapunov matrix equations in system stability and control.
• Krylov methods for low-rank commuting generalized Sylvester equations
• On Iterative Solutions of General Coupled Matrix Equations
• Theoretical Numerical Analysis
• Computational Krylov‐based methods for large‐scale differential Sylvester matrix problems
• Gradient based iterative algorithms for solving a class of matrix equations
• Bidiagonalization of Matrices and Solution of Linear Equations

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