Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599321 | Linear Algebra and its Applications | 2015 | 16 Pages |
Abstract
The norm properties of Lyapunov mappings and their restrictions on symmetric and skew-symmetric subspaces are investigated. For non-negative, non-positive, and tridiagonal matrices, this paper gives an affirmative answer to an open conjecture which says that the norm of a Lyapunov mapping over the space of real square matrices equals that of its restricted map over the subspace of real symmetric matrices. In addition, matrix transformation and norm relationships on certain matrices arising from the Lyapunov mapping and its restrictions are provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jun-e Feng, James Lam, Guowu Yang, Zhao Li,