Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations-Reference-Cited by-同舟云学术

Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations

Published:2019-08-12 Issue:1-2 Volume:62 Page:157-177
ISSN:1598-5865
Container-title:Journal of Applied Mathematics and Computing
language:en
Short-container-title:J. Appl. Math. Comput.

Author:

Sadek El. Mostafa,Bentbib Abdeslem Hafid,Sadek Lakhlifa,Talibi Alaoui Hamad

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s12190-019-01278-7.pdf

Reference36 articles.

1. Abou-Kandil, H., Frelling, G., Ionescu, V., Jank, G.: Matrix Riccati equations in control and systems theory. In: Systems and Control Foundations and Applications. Birkhäuser, Basel (2003)

2. Agoujil, S., Bentbib, A.H., Jbilou, K., Sadek, El.M.: A minimal residual norm method for large-scale Sylvester matrix equations. Electron. Trans. Numer. Anal. 43, 45–59 (2014)

3. Bartels, R.H., Stewart, G.W.: Solution of the matrix equation $$A X + X B = C$$, algorithm 432. Commun. ACM 15, 820–826 (1972)

4. Behr, M., Benner, P., Heiland, J.: Solution formulas for differential Sylvester and Lyapunov equations. arXiv:1811.08327v1

5. Benner, P., Mena, H.: Rosenbrock methods for solving Riccati differential equations. IEEE Trans. Autom. Control 58(11), 2950–2957 (2013)

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Efficient iterative schemes based on Newton's method and fixed-point iteration for solving nonlinear matrix equation X^p = Q±A(X⁻¹+B)⁻¹A^T;Engineering Computations;2023-11-07

2. A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations;Mathematics and Computers in Simulation;2023-10

3. Structure preserving subspace methods for the general coupled discrete-time periodic matrix equation and its application in antilinear periodic system;International Journal of Computer Mathematics;2022-09-19

4. Fractional BDF Methods for Solving Fractional Differential Matrix Equations;International Journal of Applied and Computational Mathematics;2022-08-26

5. On Some Numerical Methods for Solving Large Differential Nonsymmetric Stein Matrix Equations;Mathematical and Computational Applications;2022-08-12