Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602948 | Linear Algebra and its Applications | 2006 | 28 Pages |
Abstract
Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces with a regular indefinite inner product are introduced and studied. The classes include plus matrices, selfadjoint, skew-adjoint, and unitary matrices. In particular, results are proved concerning extensions of invariant semidefinite subspaces. Canonical form for unitary matrices is developed and subsequently applied to stability of periodic Hamiltonian systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory