Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations (Q5061747)

scientific article; zbMATH DE number 7489017

Language	Label	Description	Also known as
English	Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations	scientific article; zbMATH DE number 7489017

Statements

instance of

scholarly article

0 references

title

Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations (English)

0 references

0 references

0 references

East Asian Journal on Applied Mathematics

0 references

publication date

14 March 2022

0 references

zbMATH Keywords

continuous Sylvester equation

0 references

shift-splitting iteration

0 references

inexact iteration

0 references

convergence

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.4208/eajam.050821.070122

0 references

cites work

Stability and the matrix Lyapunov equation for discrete 2-dimensional systems

0 references

On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations

0 references

Modified HSS iteration methods for a class of complex symmetric linear systems

0 references

On preconditioned MHSS iteration methods for complex symmetric linear systems

0 references

Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices

0 references

Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices

0 references

Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems

0 references

Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems

0 references

On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations

0 references

On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems

0 references

Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix

0 references

Matrix Analysis and Computations

0 references

Q3410058

0 references

Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]

0 references

A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration

0 references

Application of ADI Iterative Methods to the Restoration of Noisy Images

0 references

A general class of shift-splitting preconditioners for non-Hermitian saddle point problems with applications to time-harmonic eddy current models

0 references

Shift-splitting preconditioners for a class of block three-by-three saddle point problems

0 references

Shift-splitting preconditioners for saddle point problems

0 references

A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems

0 references

On semi-convergence of the generalized shift-splitting iteration method for singular nonsymmetric saddle point problems

0 references

On preconditioned generalized shift-splitting iteration methods for saddle point problems

0 references

A Local Positive (Semi)Definite Shift-Splitting Preconditioner for Saddle Point Problems with Applications to Time-Harmonic Eddy Current Models

0 references

On choices of iteration parameter in HSS method

0 references

A parallel additive preconditioner for conjugate gradient method for $AX+XB=C$

0 references

On the ADI method for the Sylvester equation and the optimal-${\mathcal H}_{2}$ points

0 references

A Hessenberg-Schur method for the problem AX + XB= C

0 references

Q4917542

0 references

A shift-splitting hierarchical identification method for solving Lyapunov matrix equations

0 references

The optimal projection equations for reduced-order, discrete-time state estimation for linear systems with multiplicative white noise

0 references

Q3136495

0 references

The optimal reduced-order estimator for systems with singular measurement noise

0 references

Krylov-subspace methods for the Sylvester equation

0 references

A practical formula for computing optimal parameters in the HSS iteration methods

0 references

A modified generalized shift-splitting preconditioner for nonsymmetric saddle point problems

0 references

An algorithm for solving generalized algebraic Lyapunov equations in Hilbert space, applications to boundary value problems

0 references

Nested splitting CG-like iterative method for solving the continuous Sylvester equation and preconditioning

0 references

An iterative method for solving the continuous sylvester equation by emphasizing on the skew-hermitian parts of the coefficient matrices

0 references

Explicit Solutions of Linear Matrix Equations

0 references

Q4850020

0 references

Inertia characteristics of self-adjoint matrix polynomials

0 references

A generalized ADI iterative method

0 references

Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations

0 references

A generalized HSS iteration method for continuous Sylvester equations

0 references

Lopsided PMHSS iteration method for a class of complex symmetric linear systems

0 references

Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems

0 references

Disturbance attenuation and&lt;tex&gt;H^{∞}&lt;/tex&gt;optimization: A design method based on the algebraic Riccati equation

0 references

On the generalized shift-splitting preconditioner for saddle point problems

0 references

Generalized shift-splitting preconditioners for nonsingular and singular generalized saddle point problems

0 references

Computational Methods for Linear Matrix Equations

0 references

Matrix Equation $XA + BX = C$

0 references

SOR for $AX-XB=C$

0 references

L$_2$ gain and passivity techniques in nonlinear control.

0 references

Iterative solution of the Lyapunov matrix equation

0 references

A modified gradient based algorithm for solving Sylvester equations

0 references

On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation $AX+XB=C$

0 references

A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems

0 references

Scaled norm minimization method for computing the parameters of the HSS and the two‐parameter HSS preconditioners

0 references

A generalized preconditioned HSS method for non-Hermitian positive definite linear systems

0 references

Generalized Preconditioned Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive-Definite Linear Systems

0 references

Q5639278

0 references

Extended shift-splitting preconditioners for saddle point problems

0 references

On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations

0 references

On modified HSS iteration methods for continuous Sylvester equations

0 references

A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations

0 references

Preconditioned Positive-Definite and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations AX + XB = C

0 references

The modified shift-splitting preconditioners for nonsymmetric saddle-point problems

0 references

Identifiers

zbMATH Open document ID

1481.65066

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.4208/EAJAM.050821.070122

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5061747