Differentially Controllable Subspace for Linear Periodic Systems

Subspace Identification for Linear Systems

Stabilization of Controllable Linear Systems

The work consists of two parts. The first part is devoted to linear continuous-time systems and the second one to linear discrete-time systems. In the first part stationary and nonstationary stabilization of linear time-invariant continuous-time systems is considered. A simple and direct proof of Zubov’s and Wonham’s Theorem on pole assignment in controllable linear systems by means of a suitab...

Subspace-by-subspace preconditioners for structured linear systems

We consider the iterative solution of symmetric positive-de nite linear systems whose coe cient matrix may be expressed as the outer-product of low-rank terms. We derive suitable preconditioners for such systems, and demonstrate their e ectiveness on a number of test examples. We also consider combining these methods with existing techniques to cope with the commonly-occuring case where the coe...

Krylov subspace methods for solving linear systems

Inexact Krylov Subspace Methods for Linear Systems

There is a class of linear problems for which the computation of the matrix-vector product is very expensive since a time consuming approximation method is necessary to compute it with some prescribed relative precision. In this paper we investigate the effect of an approximately computed matrix-vector product on the convergence and accuracy of several Krylov subspace solvers. The obtained insi...