Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations
type: Item
instance of: scholarly article
title: Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations
zbMATH Open document ID: 1505.65196
author: Lakhlifa Sadek
author: Hamad Talibi Alaoui
author: El M. Sadek
author: Abdeslem H. Bentbib
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 65F99
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65F45
Mathematics Subject Classification ID: 65F60
zbMATH DE Number: 7435253
zbMATH Keywords: extended global Krylov subspaces
zbMATH Keywords: matrix exponential
zbMATH Keywords: low-rank approximation
zbMATH Keywords: differential Sylvester equations
describes a project that uses: Algorithm 432
describes a project that uses: SparseMatrix
describes a project that uses: MATLAB expm
describes a project that uses: LYAPACK
MaRDI profile type: Publication
full work available at URL: s12190-019-01278-7
OpenAlex ID: W2968573015
cites work: Matrix Riccati equations in control and systems theory
cites work: A minimal residual norm method for large-scale Sylvester matrix equations
cites work: Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]
cites work: Rosenbrock Methods for Solving Riccati Differential Equations
cites work: On the ADI method for Sylvester equations
cites work: Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations
cites work: On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems
cites work: On some extended block Krylov based methods for large scale nonsymmetric Stein matrix equations
cites work: A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications
cites work: Convergence properties of some block Krylov subspace methods for multiple linear systems
cites work: Numerical Methods for Ordinary Differential Equations
cites work: Q4445975
cites work: Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
cites work: A Hessenberg-Schur method for the problem AX + XB= C
cites work: Numerical solutions to large-scale differential Lyapunov matrix equations
cites work: Computational Krylov‐based methods for large‐scale differential Sylvester matrix problems
cites work: Extended Arnoldi methods for large low-rank Sylvester matrix equations
cites work: The Scaling and Squaring Method for the Matrix Exponential Revisited
cites work: On Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: Recursion relations for the extended Krylov subspace method
cites work: Low rank approximate solutions to large Sylvester matrix equations
cites work: ADI preconditioned Krylov methods for large Lyapunov matrix equations
cites work: Numerical low-rank approximation of matrix differential equations
cites work: On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers
cites work: Nineteen Dubious Ways to Compute the Exponential of a Matrix
cites work: Some general implicit processes for the numerical solution of differential equations
cites work: Q5751863
cites work: Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
cites work: Low-Rank Second-Order Splitting of Large-Scale Differential Riccati Equations
cites work: Iterative Krylov Methods for Large Linear Systems
DOI: 10.1007/S12190-019-01278-7
Recommended article: On the global Krylov subspace methods for solving general coupled matrix equations
Recommended article: Krylov subspace methods for the generalized Sylvester equation
Recommended article: Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations
Recommended article: Krylov-subspace methods for the Sylvester equation
Recommended article: Computational Krylov‐based methods for large‐scale differential Sylvester matrix problems
Recommended article: Deflated and augmented global Krylov subspace methods for the matrix equations
Recommended article: Block Krylov subspace methods for solving large Sylvester equations
Recommended article: Q5168766
Recommended article: Numerical methods for differential linear matrix equations via Krylov subspace methods
Recommended article: Extended Krylov subspace methods for solving Sylvester and Stein tensor equations
description: scientific article; zbMATH DE number 7435253