A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations
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Publication:1732227
DOI10.1016/j.amc.2015.09.027zbMath1410.65131OpenAlexW2199109243MaRDI QIDQ1732227
Xiao-Bin Tang, Rong Zhou, Xiang Wang
Publication date: 22 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.027
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Cites Work
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- On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)
- On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations
- A modified gradient based algorithm for solving Sylvester equations
- Rotated block triangular preconditioning based on PMHSS
- On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
- A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
- Modified HSS iteration methods for a class of complex symmetric linear systems
- A shift-splitting hierarchical identification method for solving Lyapunov matrix equations
- Inertia characteristics of self-adjoint matrix polynomials
- Iterative solution of the Lyapunov matrix equation
- Krylov-subspace methods for the Sylvester equation
- On solutions of matrix equation \(AXB+CYD=F\)
- A generalized ADI iterative method
- A parallel additive preconditioner for conjugate gradient method for \(AX+XB=C\)
- A class of two-stage iterative methods for systems of weakly nonlinear equations
- Model reduction for control system design
- L\(_2\) gain and passivity techniques in nonlinear control.
- Finite element model updating in structural dynamics
- A practical formula for computing optimal parameters in the HSS iteration methods
- On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
- Several splittings for non-Hermitian linear systems
- Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- Optimal parameters in the HSS-like methods for saddle-point problems
- Disturbance attenuation and<tex>H^{∞}</tex>optimization: A design method based on the algebraic Riccati equation
- On Newton-HSS Methods for Systems of Nonliear Equations with Positive-Definite Jacobian Matrices
- New estimates for solutions of Lyapunov equations
- A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
- On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
- Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices
- Analysis of bilinear systems using Walsh functions
- A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration
- Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
- Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
- An algorithm for solving generalized algebraic Lyapunov equations in Hilbert space, applications to boundary value problems
- A Hessenberg-Schur method for the problem AX + XB= C
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
- Application of ADI Iterative Methods to the Restoration of Noisy Images
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- On Preconditioned Iterative Methods for Burgers Equations
- Best Approximate Solution of Matrix Equation AXB+CYD=E
- Matrix Equation $XA + BX = C$
- Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems