Article ID Journal Published Year Pages File Type
4602948 Linear Algebra and its Applications 2006 28 Pages PDF
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