Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equations
From MaRDI portal
Publication:2403854
DOI10.1016/j.camwa.2017.03.018zbMath1373.65033OpenAlexW2604559994MaRDI QIDQ2403854
Publication date: 12 September 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.03.018
inner product spaceminimum-norm solutionconjugate gradient least squares algorithmgeneralized coupled Sylvester matrix equations
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (16)
On the solutions of a class of tensor equations ⋮ Modification on the convergence results of the Sylvester matrix equation \(AX+XB=C\) ⋮ A simple method for solving matrix equations \(AXB = D\) and \(GXH = C\) ⋮ New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation ⋮ On the minimum-norm least squares solution of the complex generalized coupled Sylvester matrix equations ⋮ Extending BiCG and BiCR methods to solve the Stein tensor equation ⋮ An finite iterative algorithm for sloving periodic Sylvester bimatrix equations ⋮ An iteration method for solving the linear system \(Ax=b\) ⋮ A relaxed MSIO iteration algorithm for solving coupled discrete Markovian jump Lyapunov equations ⋮ An iterative algorithm for generalized periodic multiple coupled Sylvester matrix equations ⋮ Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints ⋮ Least squares solution of the quaternion Sylvester tensor equation ⋮ The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations ⋮ High-order iterative methods for the DMP inverse ⋮ Developing Kaczmarz method for solving Sylvester matrix equations ⋮ Conjugate gradient-based iterative algorithm for solving generalized periodic coupled Sylvester matrix equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle
- Extending the CGLS algorithm for least squares solutions of the generalized Sylvester-transpose matrix equations
- The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations
- On the Kronecker products and their applications
- Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
- A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations
- Finite iterative algorithms for extended Sylvester-conjugate matrix equations
- Finite iterative algorithms for solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions
- Finite iterative algorithms for solving generalized coupled Sylvester systems. II: Two-sided and generalized coupled Sylvester matrix equations over reflexive solutions
- Iterative algorithms for solving a class of complex conjugate and transpose matrix equations
- Toward solution of matrix equation \(X=Af(X)B+C\)
- Iterative solutions to coupled Sylvester-conjugate matrix equations
- An efficient algorithm for solving general coupled matrix equations and its application
- Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
- Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- Iterative solutions to coupled Sylvester-transpose matrix equations
- Iterative solutions to the extended Sylvester-conjugate matrix equations
- Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
- Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)
- The general coupled matrix equations over generalized bisymmetric matrices
- Least squares solution with the minimum-norm to general matrix equations via iteration
- An iterative algorithm for solving a finite-dimensional linear operator equation \(T(x)=f\) with applications
- A new iteration method for the matrix equation \(AX = B\)
- An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
- On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)
- An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
- Gradient based iterative solutions for general linear matrix equations
- Weighted least squares solutions to general coupled Sylvester matrix equations
- Gradient based iterative algorithm for solving coupled matrix equations
- A system of real quaternion matrix equations with applications
- Iterative solution of linear systems in the 20th century
- Alternating direction method for generalized Sylvester matrix equation \(AXB + CYD = E\)
- On the generalized reflexive and anti-reflexive solutions to a system of matrix equations
- An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)
- Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications
- Matrix form of the CGS method for solving general coupled matrix equations
- A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation
- Convergence of gradient-based iterative solution of coupled Markovian jump Lyapunov equations
- An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices
- The common solution to six quaternion matrix equations with applications
- Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\)
- An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Iterative least-squares solutions of coupled sylvester matrix equations
- On Iterative Solutions of General Coupled Matrix Equations
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- Gradient based iterative algorithms for solving a class of matrix equations
- Gradient-based maximal convergence rate iterative method for solving linear matrix equations
This page was built for publication: Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equations
