Low-rank-modified Galerkin methods for the Lyapunov equation

Iterative numerical methods for linear systems (65F10) Numerical solutions to equations with linear operators (65J10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for matrix equations (65F45)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Matrix-equation-based strategies for convection-diffusion equations
Adaptive rational Krylov subspaces for large-scale dynamical systems
Minimal residual methods for large scale Lyapunov equations
Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic
Krylov-subspace methods for the Sylvester equation
Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations
Block Krylov subspace methods for functions of matrices
Convergence properties of block GMRES and matrix polynomials
Frequency-Limited Balanced Truncation with Low-Rank Approximations
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
The university of Florida sparse matrix collection
Model reduction in limited time and frequency intervals
A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations
Blendenpik: Supercharging LAPACK's Least-Squares Solver
Computational Methods for Linear Matrix Equations
A Krylov Subspace Method for the Approximation of Bivariate Matrix Functions
A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
Low rank solution of data‐sparse Sylvester equations
Low Rank Solution of Lyapunov Equations
Bivariate matrix functions
Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM
Nonlinear Least-Squares Approach for Large-Scale Algebraic Riccati Equations
Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices
Fast Singular Value Decay for Lyapunov Solutions with Nonnormal Coefficients
Functions of Matrices
On Nonnegative Solutions of the Equation $AD + DA' = - C$
Approximation of Large-Scale Dynamical Systems
Methods of conjugate gradients for solving linear systems
Compress‐and‐restart block Krylov subspace methods for Sylvester matrix equations

This page was built for publication: Low-rank-modified Galerkin methods for the Lyapunov equation