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ADCM
1998
132views more  ADCM 1998»
13 years 11 months ago
Numerical solution of generalized Lyapunov equations
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...
Thilo Penzl
TOMS
2008
96views more  TOMS 2008»
13 years 11 months ago
Block variants of Hammarling's method for solving Lyapunov equations
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...
Daniel Kressner
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 11 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
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...
Ulrike Baur, Peter Benner
EUROPAR
2006
Springer
14 years 3 months ago
Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations
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 ...
José M. Badía, Peter Benner, Rafael ...