An accelerated Jacobi-gradient based iterative algorithm for solving sylvester matrix equations

DOI10.2298/FIL1708381TzbMath1488.65099MaRDI QIDQ5156297

Xiao-Ning Hao, Chuanqing Gu, Maoyi Tian, Zhao Lu Tian

Publication date: 15 October 2021

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

convergenceSylvester matrix equationsacceleratedJacobi-gradient based algorithm

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Related Items (20)

Delayed over-relaxation in iterative schemes to solve rank deficient linear system of (matrix) equations ⋮ The relaxed gradient-based iterative algorithms for a class of generalized coupled Sylvester-conjugate matrix equations ⋮ Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm ⋮ Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E ⋮ Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle ⋮ New results of the IO iteration algorithm for solving Sylvester matrix equation ⋮ Cyclic gradient based iterative algorithm for a class of generalized coupled Sylvester-conjugate matrix equations ⋮ Hybrid variational model based on alternating direction method for image restoration ⋮ Image restoration by a mixed high-order total variation and \(l_1\) regularization model ⋮ The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint ⋮ Parametric Smith iterative algorithms for discrete Lyapunov matrix equations ⋮ A relaxed MSIO iteration algorithm for solving coupled discrete Markovian jump Lyapunov equations ⋮ Tikhonov regularized variable projection algorithms for separable nonlinear least squares problems ⋮ Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system ⋮ Image restoration by second-order total generalized variation and wavelet frame regularization ⋮ A new smoothing method for solving nonlinear complementarity problems ⋮ Developing Kaczmarz method for solving Sylvester matrix equations ⋮ A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation ⋮ On the relaxed gradient-based iterative methods for the generalized coupled Sylvester-transpose matrix equations ⋮ Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations

Cites Work

• On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)
• Recursive least squares parameter estimation for a class of output nonlinear systems based on the model decomposition
• On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations
• A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix 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
• A numerical algorithm for Lyapunov equations
• A shift-splitting hierarchical identification method for solving Lyapunov matrix equations
• Iterative solution of the Lyapunov matrix equation
• Krylov-subspace methods for the Sylvester equation
• On modified HSS iteration methods for continuous Sylvester equations
• Hierarchical gradient-based identification of multivariable discrete-time systems
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• Iterative least-squares solutions of coupled sylvester matrix equations
• Eigenvectors of certain matrices
• On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
• A Hessenberg-Schur method for the problem AX + XB= C
• Application of ADI Iterative Methods to the Restoration of Noisy Images
• The structure of weighting coefficient matrices of harmonic differential quadrature and its applications
• Iterative estimation for a non-linear IIR filter with moving average noise by means of the data filtering technique
• Hierarchical least squares identification methods for multivariable systems
• Gradient based iterative algorithms for solving a class of matrix equations
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Matrix Equation $XA + BX = C$
• Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
• Unnamed Item

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