det.m

来自「这是支持在MATLAB中进行四元数（哈密顿数）的工具箱」· M 代码 · 共 26 行

function n = det(X, d)
% DET    Determinant.
% (Quaternion overloading of standard Matlab function, with differences.)
%
% The second parameter may be:
%
% 'Moore'     The determinant is the product of the eigenvalues of X.
% 'Dieudonn閹' or
% 'Dieudonne' The determinant is the product of the singular values of X.
% 'Study'     The determinant is the determinant of the adjoint of X. If X
%             is a real quaternion matrix, the complex adjoint is used. If
%             X is a complexified quaternion matrix, the real adjoint is
%             used.
%
% The Moore determinant is the only one which can be negative or complex.
% but it cannot be calculated for a non-Hermitian matrix since there is
% currently no way to calculate the eigenvalues of a non-Hermitian matrix.
% The Study determinant is the square of the Dieudonn閹 determinant and is
% much faster to calculate, but it may not be accurately real, whereas the
% Dieudonn庨 determinant is real by definition.
%
% For the moment, there is no default value for the second parameter. This
% may be changed if a way is found to calculate the Moore determinant for
% non-Hermitian matrices (Moore will be the default).

% Copyright