Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data
From MaRDI portal
Publication:4553789
DOI10.1137/17M1156575zbMath1416.65119arXiv1711.04187MaRDI QIDQ4553789
Davide Palitta, Valeria Simoncini
Publication date: 31 October 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.04187
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (6)
Iterative and doubling algorithms for Riccati‐type matrix equations: A comparative introduction ⋮ Numerical solution of a class of quasi-linear matrix equations ⋮ Inexact methods for the low rank solution to large scale Lyapunov equations ⋮ A Krylov Subspace Method for the Approximation of Bivariate Matrix Functions ⋮ Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations ⋮ Sparsity preserving optimal control of discretized PDE systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrix-equation-based strategies for convection-diffusion equations
- Adaptive rational Krylov subspaces for large-scale dynamical systems
- Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices
- Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic
- On the ADI method for Sylvester equations
- A comparative study of sparse approximate inverse preconditioners
- Linear and numerical linear algebra in control theory: Some research problems
- Approximate inverse preconditioning for shifted linear systems
- Adaptive quadrature -- Revisited
- Efficient preconditioning for sequences of parametric complex symmetric linear systems
- Computing real low-rank solutions of Sylvester equations by the factored ADI method
- Sparse solution of the Lyapunov equation for large-scale interconnected systems
- Talbot quadratures and rational approximations
- On the decay of the inverse of matrices that are sum of Kronecker products
- Lyapunov matrix equations in system stability and control.
- Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
- Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure
- Numerical Solution of Algebraic Riccati Equations
- Computational Methods for Linear Matrix Equations
- Truncated low‐rank methods for solving general linear matrix equations
- A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
- Low rank solution of data‐sparse Sylvester equations
- Decay Rates for Inverses of Band Matrices
- Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
- The Lanczos Algorithm with Selective Orthogonalization
- Iterative Solution Methods
- Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Recursive blocked algorithms for solving triangular systems—Part II
- Preconditioning Lanczos Approximations to the Matrix Exponential
- Explicit Solutions of Linear Matrix Equations
- Approximation of Large-Scale Dynamical Systems
This page was built for publication: Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data