𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Normal Forms of Symplectic Matrices

✍ Scribed by Yiming Long*; Di Dong

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2000
Tongue
English
Weight
387 KB
Volume
16
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Canonical Forms for Hamiltonian and Symp
Canonical Forms for Hamiltonian and Symplectic Matrices and Pencils
✍ Wen-Wei Lin; Volker Mehrmann; Hongguo Xu πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 385 KB

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 conditio

A remark on normal forms of matrices
A remark on normal forms of matrices
✍ Vlastimil Dlab; Claus Michael Ringel πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 293 KB
Normal forms of generic triangular band
Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions
✍ MichaelI. Gekhtman; Leiba Rodman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 195 KB

Sets of possible Jordan forms of nilpotent matrices with a given upper triangular part are studied. It is proved that, for generic matrices within a set of triangular band matrices, the set of Jordan forms contains a unique minimal (in the sense of majorization) Jordan form. Moreover, in the generic