Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773321 | Linear Algebra and its Applications | 2017 | 38 Pages |
Abstract
This paper is the second part of [15]. Taking advantage of the special structure and properties of the Hamiltonian matrix, we apply a symplectically similar transformation introduced by [18] to reduce H to a Hamiltonian Jordan canonical form J. The asymptotic analysis of the structure-preserving flows and RDEs is studied by using eJt. The convergence of the SDA as well as its rate can thus result from the study of the structure-preserving flows. A complete asymptotic dynamics of the SDA is investigated, including the linear and quadratic convergence studied in the literature [3], [12], [13].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yueh-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh,