IN: a series of th order tensors, , . Define Matrices 
(, ) with orthogonal column vectors. 
OUT: Rank1 basis tensor , depends on convergence. 
Iterate for until convergence 
(1) Initial values: , define . 
(2) (a) Initial values: and whose columns are determined as the first leading 
eigenvectors of the matrices . 
(b) Iterate for until convergence 
(i) Maximize , 
Solution: whose columns are determined as the first leading eigenvectors 
of 
Set . 
(ii) Maximize , 
Solution: whose columns are determined as the first leading eigenvectors 
of 
Set . 

(iii) Maximize , 

Solution: whose columns are determined as the first leading eigenvectors 
of 
Set . 

(iv) Maximize , 
Solution: whose columns are determined as the first leading eigenvectors 
of 
Set . 

(c) Set , . 
(3) Size of is , each basis . 
(4) For each data, coefficient on this basis . 
(5) For each data . 