howtoPTAk                package:PTAk                R Documentation

_h_o_w_t_o _f_o_r _P_r_i_n_c_i_p_a_l _T_e_n_s_o_r_s _A_n_a_l_y_s_i_s _o_f _a _k-_m_o_d_e_s _T_e_n_s_o_r

_D_e_s_c_r_i_p_t_i_o_n:

     A mini guide to handle PTAk model decomposittion

_U_s_a_g_e:

     howtoPTAk()

_A_r_g_u_m_e_n_t_s:

_D_e_t_a_i_l_s:

     The PTAk decomposition aims at building an approximation of a
     given multiway data, represented as a tensor, based on a variance
     criterion. This approximation is given by a set of rank one
     tensors, orthogonals to each other, in a nested algorithm process
     and so controlling the level of approximation by the amount of
     variability extracted and represented by the sum of squares of the
     singular values (associated to the rank one tensors). In that
     respect it offers a way of generalising PCA to tensors of order
     greater than 2. 

      Full description of the licence is given in the file copyrights
     given in the distribution, or alternatively in the readme file 
     along with the history of changes. This function displays the
     copyright and licence information.

_A_u_t_h_o_r(_s):

     Didier Leibovici c3s2i@free.fr

_R_e_f_e_r_e_n_c_e_s:

     Leibovici D and Sabatier R (1998) _A Singular Value Decomposition
     of a k-ways array for a Principal Component Analysis of multi-way
     data, the PTA-k_. Linear Algebra and its Applications, 269:307-329

_S_e_e _A_l_s_o:

     'PTA3', 'PTAk' ,'FCAk'

