Quaternions and Matrices of Quaternions

Fuzhen Zhang

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

Quaternions and Matrices of Quaternions

Fuzhen Zhang

Research output: Contribution to journal › Article › peer-review

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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

Original language	American English
Journal	Linear Algebra and its Applications
Volume	251
DOIs	https://doi.org/10.1016/0024-3795(95)00543-9
State	Published - Jan 15 1997

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Mathematics

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title = "Quaternions and Matrices of Quaternions",

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",

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T1 - Quaternions and Matrices of Quaternions

AU - Zhang, Fuzhen

PY - 1997/1/15

Y1 - 1997/1/15

N2 - 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

AB - 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

UR - https://nsuworks.nova.edu/math_facarticles/100

UR - http://www.sciencedirect.com/science/article/pii/0024379595005439

U2 - 10.1016/0024-3795(95)00543-9

DO - 10.1016/0024-3795(95)00543-9

M3 - Article

SN - 0024-3795

VL - 251

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

Quaternions and Matrices of Quaternions

Abstract

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