Basic Classes of Matrices With Respect To Quaternionic Indefinite Inner Product Spaces

Authors

Daniel Alpay, Chapman UniversityFollow
A. C. M. Ran, Vrije Universiteit
L. Rodman, The College of William and Mary

Document Type

Article

Publication Date

2006

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.

Comments

This article was originally published in Linear Algebra and its Applications, volume 416, in 2006. DOI: 10.1016/j.laa.2005.11.010

Recommended Citation

D. Alpay, A, Ran and L. Rodman. Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Linear Algebra and its Applications, vol. 416 (2006) pp. 242-269.

Peer Reviewed

1

Copyright

Elsevier