Canonical Forms for Hamiltonian and Symplectic Matrices and Pencils

✍ Scribed by Wen-Wei Lin; Volker Mehrmann; Hongguo Xu

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 385 KB
• Volume: 302-303
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00191-3

✦ Synopsis

We study canonical forms for Hamiltonian and symplectic matrices or pencils under equivalence transformations which keep the class invariant. In contrast to other canonical forms our forms are as close as possible to a triangular structure in the same class. We give necessary and sufficient conditions for the existence of Hamiltonian and symplectic triangular Jordan, Kronecker and Schur forms. The presented results generalize results of Lin and Ho (On Schur type decompositions for Hamiltonian and symplectic pencils,