Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations

Matrix equations and identities (15A24) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Cites Work

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Low-rank solvers for fractional differential equations
On the ADI method for Sylvester equations
Iterative solution of the Lyapunov matrix equation
The block conjugate gradient algorithm and related methods
Krylov-subspace methods for the Sylvester equation
Inexact Rayleigh quotient-type methods for eigenvalue computations
The Sylvester equation and approximate balanced reduction
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Inexact methods for the low rank solution to large scale Lyapunov equations
On the convergence of Krylov methods with low-rank truncations
Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations
A block MINRES algorithm based on the band Lanczos method
Computing real low-rank solutions of Sylvester equations by the factored ADI method
On an integrated Krylov-ADI solver for large-scale Lyapunov equations
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation
An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation
Krylov methods for low-rank commuting generalized Sylvester equations
The ADI Model Problem
Computational Methods for Linear Matrix Equations
A Low-Rank in Time Approach to PDE-Constrained Optimization
Low Rank Solution of Lyapunov Equations
Application of ADI Iterative Methods to the Restoration of Noisy Images
On inexact alternating direction implicit iteration for continuous Sylvester equations
Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy
Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]
Existence of a low rank or ℋ︁‐matrix approximant to the solution of a Sylvester equation
Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation
Approximation of Large-Scale Dynamical Systems
Compress‐and‐restart block Krylov subspace methods for Sylvester matrix equations
Block Krylov subspace methods for solving large Sylvester equations
An Efficient Block Rational Krylov Solver for Sylvester Equations with Adaptive Pole Selection

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