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Mathematics

Quaternions and matrices of quaternions

Fuzhen Zhang

1997.1.15LINEAR ALGEBRA AND ITS APPLICATIONS

DOI: 10.1016/0024-3795(95)00543-9

Abstract

Abstract We give a brief survey on quaternions and matrices of quaternions, present new proofs for certain known results, and discuss the quaternionic analogues of complex matrices. The methods of converting a quaternion matrix to a pair of complex matrices and homotopy theory are emphasized.

Citation format

ZHANG, Fuzhen. Quaternions and matrices of quaternions. LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 251: 21–57.