Abstract. We investigate the eect of linear perturbations on several structured matrix pencils arising in control theory. These include skew-symmetric/symmetric pencils arising in the computa-tion of optimal H1 control and linear quadratic control for continuous and discrete time systems
Abstract. We present structure preserving algorithms for the numerical computation of structured sta...
In this thesis we study the eigenvalues of linear matrix pencils and their behavior under perturbati...
Investigating the properties, explaining, and predicting the behaviour of a physical system describe...
AbstractThe theory of eigenvalues and eigenvectors of rectangular matrix pencils is complicated by t...
AbstractWe study two matrix pencils that arise, respectively, in discrete-time and continuous-time o...
We give several different formulations for the discrete-time linear-quadratic control problem in ter...
AbstractWe study the variation of the controllability indices and the Jordan structure of a pair of ...
AbstractControl theory has long provided a rich source of motivation for developments in matrix theo...
Abstract. We discuss the numerical solution of structured generalized eigenvalue problems that arise...
Developing theory, algorithms, and software tools for analyzing matrix pencils whose matrices have v...
Investigating the properties, explaining, and predicting the behaviour of a physical system describe...
In this paper, we derive backward error formulas of two approximate eigenpairs of a semisimple eigen...
The eigenvectors of a symmetric matrix can be chosen to form an orthogonal set with respect to the i...
Abstract. This paper continues earlier studies by Bhatia and Li on eigenvalue perturbation theory fo...
AbstractThe eigenvectors of a symmetric matrix can be chosen to form an orthogonal set with respect ...
Abstract. We present structure preserving algorithms for the numerical computation of structured sta...
In this thesis we study the eigenvalues of linear matrix pencils and their behavior under perturbati...
Investigating the properties, explaining, and predicting the behaviour of a physical system describe...
AbstractThe theory of eigenvalues and eigenvectors of rectangular matrix pencils is complicated by t...
AbstractWe study two matrix pencils that arise, respectively, in discrete-time and continuous-time o...
We give several different formulations for the discrete-time linear-quadratic control problem in ter...
AbstractWe study the variation of the controllability indices and the Jordan structure of a pair of ...
AbstractControl theory has long provided a rich source of motivation for developments in matrix theo...
Abstract. We discuss the numerical solution of structured generalized eigenvalue problems that arise...
Developing theory, algorithms, and software tools for analyzing matrix pencils whose matrices have v...
Investigating the properties, explaining, and predicting the behaviour of a physical system describe...
In this paper, we derive backward error formulas of two approximate eigenpairs of a semisimple eigen...
The eigenvectors of a symmetric matrix can be chosen to form an orthogonal set with respect to the i...
Abstract. This paper continues earlier studies by Bhatia and Li on eigenvalue perturbation theory fo...
AbstractThe eigenvectors of a symmetric matrix can be chosen to form an orthogonal set with respect ...
Abstract. We present structure preserving algorithms for the numerical computation of structured sta...
In this thesis we study the eigenvalues of linear matrix pencils and their behavior under perturbati...
Investigating the properties, explaining, and predicting the behaviour of a physical system describe...