% TOEP2_GENCT           Obtain the first row of a symmetrical
% positive-definite covariance matrix.
%
% [CT] = TOEP2_GENCT(M,p)
%
% This function calculates the column vector of a Symmetrical
% Positive-Definite Covariance Matrix (TOEPLITZ), of the form,
%
%           C(zi,zj) = a*exp([zi-zj]'*g*[zi-zj]) + v
%
% Inputs:
%       M   = Input explanatory variable of dimension {N x 1}
%       p   = Hyperparameters, [a g v]
%
% Output:
%       CT  = Top row of covariance matrix, Q
%
%
% The computation is written in C code for execution of fast algorithm.
% The origin of the fast algorithm is contributed by Y. Zhang
% (2005) for the use in Gaussian Process Prior Models.
%
%
% (C) Gaussian Process Toeplitz Toolbox 1.0
% (C) Copyright 2005-2007, Keith Neo <keith.neo@nuim.ie>
%                          http://www.hamilton.ie