Abstract. This paper presents algorithms for computing stable Lagrangian invariant subspaces of a Hamiltonian matrix and a symplectic pencil, respectively, having purely imaginary and unimodu-lar eigenvalues. The problems often arise in solving continuous- or discrete-time H1-optimal control, linear-quadratic control and ltering theory, etc. The main approach of our algorithms is to determine an isotropic Jordan subbasis corresponding to purely imaginary (unimodular) eigenvalues by using the associated Jordan basis of the square of the Hamiltonian matrix (the S +S−1-transformation of the symplectic pencil). The algorithms preserve structures and are numerically ecient and reliable in that they employ only orthogonal transformations in the c...
AbstractCharacterizations are given for the Hamiltonian matrices that can be reduced to Hamiltonian ...
Lagrangian subspaces are linear subspaces that appear naturally in control theory applications, and ...
AbstractSeveral applications of earlier results by the authors concerning various notions of stabili...
[[abstract]]This paper presents algorithms far computing stable Lagrangian invariant subspaces of a ...
Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solut...
Abstract. We discuss the numerical solution of structured generalized eigenvalue problems that arise...
This paper addresses some numerical issues that arise in computing a basis for the stable invariant ...
We discuss the numerical solution of structured generalized eigenvalue problems that arise from line...
This paper addresses some numerical issues that arise in computing a basis for the stable invariant ...
Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solut...
Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solut...
This article describes Fortran 77 subroutines for computing eigenvalues and invariant subspaces of H...
Abstract — A new MATLAB toolbox for computing eigenvalues and invariant subspaces of Hamiltonian and...
A new method is presented for the numerical computation of the generalized eigen- values of real Ham...
A new method is presented for the numerical computation of the generalized eigen- values of real Ham...
AbstractCharacterizations are given for the Hamiltonian matrices that can be reduced to Hamiltonian ...
Lagrangian subspaces are linear subspaces that appear naturally in control theory applications, and ...
AbstractSeveral applications of earlier results by the authors concerning various notions of stabili...
[[abstract]]This paper presents algorithms far computing stable Lagrangian invariant subspaces of a ...
Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solut...
Abstract. We discuss the numerical solution of structured generalized eigenvalue problems that arise...
This paper addresses some numerical issues that arise in computing a basis for the stable invariant ...
We discuss the numerical solution of structured generalized eigenvalue problems that arise from line...
This paper addresses some numerical issues that arise in computing a basis for the stable invariant ...
Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solut...
Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solut...
This article describes Fortran 77 subroutines for computing eigenvalues and invariant subspaces of H...
Abstract — A new MATLAB toolbox for computing eigenvalues and invariant subspaces of Hamiltonian and...
A new method is presented for the numerical computation of the generalized eigen- values of real Ham...
A new method is presented for the numerical computation of the generalized eigen- values of real Ham...
AbstractCharacterizations are given for the Hamiltonian matrices that can be reduced to Hamiltonian ...
Lagrangian subspaces are linear subspaces that appear naturally in control theory applications, and ...
AbstractSeveral applications of earlier results by the authors concerning various notions of stabili...