Quaternions and Matrices

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This chapter contains some basic knowledge on quaternions, Toeplitz and Hankel matrices and we introduce some useful maps which allow to consider, instead of quaternionic matrices, complex matrices of double size. For more information about quaternionic matrices, the interested reader may consult, e.g., Rodman’s book [97]. We also recall the notions of Pontryagin and Krein spaces which will be useful in the sequel.

Original languageEnglish
Title of host publicationSpringerBriefs in Mathematics
PublisherSpringer Science and Business Media B.V.
Number of pages11
StatePublished - 1 Jan 2020
Externally publishedYes

Publication series

NameSpringerBriefs in Mathematics
ISSN (Print)2191-8198
ISSN (Electronic)2191-8201

ASJC Scopus subject areas

  • Mathematics (all)


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