Quaternions are hypercomplex numbers (that is generalizations of the complex numbers to higher dimensions than two). For an introduction, refer to the Wikipedia article on Quaternions.

Quaternion toolbox for Matlab® extends Matlab® to allow calculation with matrices of quaternions in almost the same way that one calculates with matrices of complex numbers. This is achieved by defining a private type to represent quaternion matrices and overloadings of many standard Matlab® functions. The toolbox supports real and complex quaternions (that is quaternions with four real or complex components).-Quaternions are hypercomplex numbers (that is generalizations of the complex numbers to higher dimensions than two). For an introduction, refer to the Wikipedia article on Quaternions. Quaternion toolbox for Matlab ? extends Matlab ? to allow calculation with matrices of quaternions in almost the same way that one calculates with matrices of complex numbers. This is achieved by defining a private type to represent quaternion matrices and overloadings of many standard Matlab ? functions. The toolbox supports real and complex quaternions (that is quaternions with four real or complex components).