Research Communication | Open Access
Volume 2019 | Communication ID 59
Volume 2019 | Communication ID 59
| Hamiltonian Polynomial Eigenvalue Problems |
Mustapha Bassour
Received |
Accepted |
Published |
Jan 14, 2019 |
Jan 31, 2019 |
Mar 01, 2019 |
Abstract: The principal aim of this work is to give methods that decompose a skew-Hamiltonian matrix M in the form RJR where R is a permuted J-triangular form. Both theoretical and practical aspects are treated. Decomposition M = RJR is the fundamental step to convert a structured even degree polynomial eigenvalue problem P(λ)v=0 into a standard Hamiltonian eigenproblem Hv=λv [1]. We transform the polynomial eigenvalue problem P(λ)v=0 to an equivalent skew-Hamiltonian/Hamiltonian pencil [2]. This process is known as linearization. The skew-Hamiltonian/Hamiltonian pencil is converted to a standard ...