We present a new method for the computation of low rank approximations to the solution of large, sparse, stable Lyapunov equations. It is based on a generalization of the classical Smith method andâ€¦ (More)

Two eecient 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 and the second isâ€¦ (More)

We study large-scale, continuous-time linear time-invariant control systems with a sparse or structured state matrix and a relatively small number of inputs and outputs. The main contributions ofâ€¦ (More)

Preface Control theory is one of the most rapidly developing disciplines of mathematics and engineering in the second half of the 20th century. In the past decade, implementations of numericallyâ€¦ (More)

We present a multi-grid method for a class of structured generalized Lya-punov matrix equations. Such equations need to be solved in each step of the Newton method for algebraic Riccati equations,â€¦ (More)

1. Editorial 2 2. New developments in the SLICOT benchmark library 3 3. Basic numerical SLICOT tools for control 4 4. SLICOT tools for model reduction 8 5. SLICOT tools for subspace identiication 13â€¦ (More)