Article ID Journal Published Year Pages File Type
4602220 Linear Algebra and its Applications 2008 39 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory