householder_vector.m

四元数matlab工具包

function [u, zeta] = householder_vector(a, v)
% [u, zeta] = householder_vector(a, v) calculates a Householder vector,
% u, with a norm of sqrt(2), and a value zeta, from the vectors a and v. The
% results may be used to construct a left or right Householder matrix and they
% depend on whether the input parameters are column or row vectors respectively.
% The result returned in u has the same type (row, column) as the parameter a.
% zeta will be real, complex or quaternion, depending on the type of a.
% The parameter v must be real (mathematical limitation).

% Copyright