Matrix Theory over the Complex Quaternion Algebra

2000/04/01 by Yongge Tian, Tian, Yongge
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.math/0004005

15 pages, LaTex

arxiv created 2000/04/01 · arxiv updated 2009/11/30

Abstract

We present in this paper some fundamental tools for developing matrix analysis over the complex quaternion algebra. As applications, we consider generalized inverses, eigenvalues and eigenvectors, similarity, determinants of complex quaternion matrices, and so on.

Related

• Quasi-determinant and right eigenvalues of dual quaternion matrices
• The quaternionic determinat
• Real matrix representations for the complex quaternions
• Dual Complex Adjoint Matrix: Applications in Dual Quaternion Research
• Quaternionic quasideterminants and determinants