Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts
From MaRDI portal
Publication:984753
DOI10.1016/j.sysconle.2010.02.002zbMath1193.65045OpenAlexW2004067082MaRDI QIDQ984753
Ninoslav Truhar, Zoran Tomljanović, Ren-Cang Li
Publication date: 20 July 2010
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.02.002
upper boundsnumerical examplesperturbation boundsSylvester matrix equationeigenvalue decompositionslow-rank alternating-directional-implicit (LR-ADI) method
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (5)
Computational Methods for Linear Matrix Equations ⋮ On the Singular Values of Matrices with Displacement Structure ⋮ The complete solution to the Sylvester-polynomial-conjugate matrix equations ⋮ Bounds on the Singular Values of Matrices with Displacement Structure ⋮ Fast Singular Value Decay for Lyapunov Solutions with Nonnormal Coefficients
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cross-Gramian based model reduction for data-sparse systems
- On the ADI method for Sylvester equations
- Iterative solution of the Lyapunov matrix equation
- Perturbation theory for matrix equations
- Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
- On the decay rate of Hankel singular values and related issues
- The Sylvester equation and approximate balanced reduction
- A modified low-rank Smith method for large-scale Lyapunov equations
- Trail to a Lyapunov equation solver
- Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix
- Efficient matrix-valued algorithms for solving stiff Riccati differential equations
- Low rank solution of data‐sparse Sylvester equations
- Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
- Effectively Well-Conditioned Linear Systems
- A Hessenberg-Schur method for the problem AX + XB= C
- Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
- Numerical Integration of the Differential Riccati Equation and Some Related Issues
- Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations
- How and Why to Solve the Operator Equation AX −XB = Y
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Low Rank Solution of Lyapunov Equations
- Model order reduction via real Schur-form decomposition
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Matrix Equation $XA + BX = C$
This page was built for publication: Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts
