Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm
From MaRDI portal
Publication:2167004
DOI10.1186/s13662-021-03427-4zbMath1494.65017OpenAlexW3164857342MaRDI QIDQ2167004
Adisorn Kittisopaporn, Pattrawut Chansangiam
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03427-4
iterative methodgradient descentleast-squares solutiongeneralized Sylvester-transpose matrix equation
Related Items (4)
Combined real and imaginary parts method for solving generalized Lyapunov matrix equation ⋮ On circulant and skew-circulant splitting algorithms for (continuous) Sylvester equations ⋮ Numerical solution of singular Sylvester equations ⋮ Improved zeroing neural models based on two novel activation functions with exponential behavior
Cites Work
- Unnamed Item
- Unnamed Item
- Extending the CGLS algorithm for least squares solutions of the generalized Sylvester-transpose matrix equations
- Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices
- 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
- Gradient based iterative solutions for general linear matrix equations
- Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems
- 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 \(A X + X B = C\)
- The steepest descent of gradient-based iterative method for solving rectangular linear systems with an application to Poisson's equation
- An iterative algorithm for robust simulation of the Sylvester matrix differential equations
- Two modified least-squares iterative algorithms for the Lyapunov matrix equations
- Gradient estimation algorithms for the parameter identification of bilinear systems using the auxiliary model
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous 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
- Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
This page was built for publication: Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm