103
Voted
ADCM
1998
14 years 12 months ago
1998
Two e cient methods for solving generalized Lyapunov equations and their implementations in FORTRAN 77 are presented. The rst one is a generalization of the Bartels{Stewart method...
73
Voted
TOMS
2008
15 years 3 days ago
2008
This paper is concerned with the efficient numerical solution of the Lyapunov equation AT X +XA = -C with a stable matrix A and a symmetric positive semidefinite matrix C of possi...
87
Voted
COMPUTING
2006
15 years 7 days ago
2006
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
91
Voted
EUROPAR
2006
Springer
15 years 3 months ago
2006
Springer
We discuss a parallel algorithm for the solution of large-scale generalized algebraic Riccati equations with dimension up to O(105 ). We survey the numerical algorithms underlying ...