TY - CHAP
T1 - Quaternions and Matrices
AU - Alpay, Daniel
AU - Colombo, Fabrizio
AU - Sabadini, Irene
N1 - Publisher Copyright:
© 2020, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85101121943&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-38312-1_2
DO - 10.1007/978-3-030-38312-1_2
M3 - Chapter
AN - SCOPUS:85101121943
T3 - SpringerBriefs in Mathematics
SP - 11
EP - 21
BT - SpringerBriefs in Mathematics
PB - Springer Science and Business Media B.V.
ER -