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ADCM
1998
132views more  ADCM 1998»
13 years 4 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 4 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 4 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
13 years 8 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 ...