Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II
This article describes Fortran 77 subroutines for computing eigenvalues and invariant subspaces of Hamiltonian and skew-Hamiltonian matrices. The implemented algorithms are based on orthogonal symplectic decompositions, implying numerical backward stability as well as symmetry preservation for the computed eigenvalues. These algorithms are supplemented with balancing and block algorithms which can lead to considerable accuracy and performance improvements. As a by-product, an efficient implementation for computing symplectic QR decompositions is provided. We demonstrate the usefulness of the subroutines for several, practically relevant examples.
Keywords: algorithms ; documentation ; performance ; algebraic Riccati equation ; eigenvalues ; Hamiltonian matrix ; invariant subspaces ; skew-Hamiltonian matrix ; symplectic QR decomposition ; Structure-Preserving Methods ; Linear Algebra ; Numerical-Solution ; Riccati Equation ; Factorizations ; Stability ; Systems ; Pencils
Record created on 2011-05-05, modified on 2016-08-09