Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations
DOI10.1186/s13662-020-02785-9zbMath1485.65046OpenAlexW3040651945MaRDI QIDQ2116129
Adisorn Kittisopaporn, Pattrawut Chansangiam
Publication date: 16 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02785-9
heat equationPoisson's equationiterative methodgradient descentgeneralized Sylvester matrix equationmatrix norms and conditioning
Matrix equations and identities (15A24) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for matrix equations (65F45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A modified gradient based algorithm for solving Sylvester equations
- Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
- The accelerated gradient based iterative algorithm for solving a class of generalized Sylvester-transpose matrix equation
- Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
- A new version of successive approximations method for solving Sylvester matrix equations
- An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
- Exact and numerical solutions of Poisson equation for electrostatic potential problems
- An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
- Gradient based iterative solutions for general linear matrix equations
- Solving stable generalized Lyapunov equations with the matrix sign function
- Hierarchical gradient-based identification of multivariable discrete-time systems
- The relaxed gradient based iterative algorithm for the symmetric (skew symmetric) solution of the Sylvester equation \(A X + X B = C\)
- A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation
- The steepest descent of gradient-based iterative method for solving rectangular linear systems with an application to Poisson's equation
- Two modified least-squares iterative algorithms for the Lyapunov matrix equations
- On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
- Gradient estimation algorithms for the parameter identification of bilinear systems using the auxiliary model
- The double-step scale splitting method for solving complex Sylvester matrix equation
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Iterative least-squares solutions of coupled sylvester matrix equations
- Implicitly restarted global FOM and GMRES for nonsymmetric matrix equations and Sylvester equations
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- On Iterative Solutions of General Coupled Matrix Equations
- Consistency of a pair of generalized Sylvester equations
- Solution to Generalized Sylvester Matrix Equations
- The innovation algorithms for multivariable state‐space models
- An accelerated Jacobi-gradient based iterative algorithm for solving sylvester matrix equations
- Hierarchical least squares identification methods for multivariable systems
- Gradient based iterative algorithms for solving a class of matrix equations
- Kronecker Maps and Sylvester-Polynomial Matrix Equations
- Recursive blocked algorithms for solving triangular systems—Part I
- Recursive blocked algorithms for solving triangular systems—Part II
- Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
This page was built for publication: Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations