Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602220 | Linear Algebra and its Applications | 2008 | 39 Pages |
Abstract
Canonical forms are described for pairs of quaternionic matrices, or equivalently matrix pencils, where each one of the matrices is either hermitian or skew-hermitian, under strict equivalence and simultaneous congruence. Several applications are developed, including structure of selfadjoint and skew-adjoint matrices with respect to a regular sesquilinear quaternion valued form, or with respect to a regular skew-sesquilinear form. Another application gives canonical forms for quaternionic matrices under congruence.
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