The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

Abstract Skew-Hamiltonian and Hamiltonian eigenvalue problems arise from a number of
applications, particularly in systems and control theory. The preservation of the underlying …

In this thesis, we have investigated numerical methods for the solution of general and
structured eigenvalue problems. Moreover, we have presented software implementing these …

This article describes Fortran 77 subroutines for computing eigenvalues and invariant
subspaces of Hamiltonian and skew-Hamiltonian matrices. The implemented algorithms are …

We investigate the behavior of isotropic invariant subspaces of skew-Hamiltonian matrices
under structured perturbations. It is shown that finding a nearby subspace is equivalent to …

Abstract We show how Van Loan's method for annulling the (2, 1) block of skew‐
Hamiltonian matrices by symplectic‐orthogonal similarity transformation generalizes to …

Untitled Page 1 Page 2 Lecture Notes in Computational Science and Engineering 46 Editors
Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick Page …

We present a class of symplectic matrices which transform by similarity given $2 n\times 2n $-
dimensional matrix into Bunse-Gerstner form. If the given matrix is skew-Hamiltonian, the …