Let be two positively defined matrices. Let construct on the sequence of symmetrical positively defined matrices:
Numerical results have been obtained on MATLAB Version 6.5 for matrices Accuracies of algorithms have been verified by methods from [6]  [8]. The matrix block linkage and sequence cardinality are :,. We assumed that and distinction on sequence can be represented by criteria
The adequate criteria compared with and criteria in logarithmic scale.
3.2.1.
The positively defined matrices and _{ }are:
Figure 3.2.1.The results for , and .
3.3.1:
The positively defined matrices and _{ }are:
Figure 3.3.1.The results for , and .
3.3.2:
The positively defined matrices and _{ }are:
Figure 3.3.2.The results for , and
The initial 10 x 10 positively defined matrix is:
Formally, 10 x 10 matrix is presented below:
3.4.1:
Let will be 10dimensional correlation matrix:
Figure 3.4.1.The results for , and criteria.
3.4.2:
Let will be 10dimensional correlation matrix:
3.4.3:
Let will be 10dimensional correlation matrix:
Figure 3.4.3.The results for , and .
3.4.4.
Figure 3.4.4.The results for , and .
3.4.5.
Let will be 10dimensional correlation matrix:
Figure 3.4.5. The results for , and .
3.4.6.
Let will be 10dimensional correlation matrix:
Figure 3.4.6. The results for , and .
3.4.7:
Let will be 10dimensional correlation matrix:
Figure 3.4.7. The results for , and .
3.4.8.
Let will be 10dimensional correlation matrix:
Figure 3.4.8. The results for , and .
3.4.9:
Let will be 10dimensional correlation matrix:
Figure 3.4.9. The results for , and .
Criteria Type 
Interval 
Criteria graphical description 

3.2. Sequence of matrices 

3.2.1. 


(1, 100) 
(1, 100) Convex decreasing curve; 


(1, 100) 
(1, 100) Convex decreasing curve; 


(1, 12) 
(1, 12)  Segment of Convex decreasing curve; (12, 100)  Segment of Horizontal line 


(1, 12) 
(1, 12)  Segment of Convex decreasing curve; (12, 100)  Segment of Horizontal line 

3.3. Sequence Matrices 

3.3.1. 


[1,20], 
2 segments of convex decreasing curve with small horizontal plateau (20,25) in the interval 


[1,23], 
2 segments of convex decreasing curve with small horizontal plateau (23,25) in the interval 


(1, 12) 
(1, 12)  Segment of Convex decreasing curve; (12, 100)  Segment of Horizontal line 


(1, 12) 
(1, 12)  Segment of Convex decreasing curve; (12, 100)  Segment of Horizontal line 

3.3.2: 


(1, 100) 
(1, 100)  Convex decreasing curve 


(1,20) 
(1, 20)  Segment of Convex decreasing curve; (20, 100)  Segment of Horizontal line 


(1, 12) 
(1, 12)  Segment of Convex decreasing curve; (12, 100)  Segment of Horizontal line 


(1, 12) 
(1, 12)  Segment of Convex decreasing curve; (12, 100)  Segment of Horizontal line 
3.4. Sequence Matrices 

3.4.1: 


(1,50) 
(1,50)  Convex decreasing curve; (50, 100) Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 

3.4.2: 


(1,50) 
(1,50)  Convex decreasing curve; (50, 100)Horizontal line 


(6,20), (50, 100) 
(1,5)  Segment of horizontal line; (6,20)  Segment of Convex decreasing curve; (20,50)  Segment of horizontal line; (50,100)  Segment of Convex decreasing curve 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 

3.4.3: 


(1,40) 
(1,40)  Convex decreasing curve with 2 small segments of horizontal line; (40, 100) Horizontal line 


(20, 
(1, 20)  Segment of horizontal line; (20,100)  Convex decreasing curve with 2 small segments of horizontal line; 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 

3.4.4: 


(10, 
(10,100)  Segment of Convex decreasing curve with 4 small segments of horizontal line; (40, 100) Horizontal line 


(1,50) 
(1,50)  Segment of Convex decreasing curve; (50, 100)  Segment of horizontal line; 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 
3.4.5: 


(1,100) 
(1,100)  Segment of Convex decreasing curve with 4 small segments of horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 

3.4.6: 


(1,55) 
(1,55)  Segment of Convex decreasing curve with 2 small segments of horizontal line; (55,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (25,100)  Segment of Horizontal line 

3.4.7: 


(1,50) 
(1,50)  Segment of Convex decreasing curve with 2 small segments of horizontal line; (50,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (1,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (1,100)  Segment of Horizontal line 

3.4.8: 


(20,45), (60,100) 
(1,20)  Segment of Horizontal line; (20,45)  Segment of Convex decreasing curve; (45,60) Segment of horizontal line; (60,100)  Segment of Convex decreasing curve 


(1,50) 
(1,50)  Segment of Convex decreasing curve with 3 "wild points"; (50,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (1,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (1,100)  Segment of Horizontal line 

3.4.9 


(15,100) 
(1,15)  Segment of Horizontal line; (15,100)  Segment of Convex decreasing curve 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (1,100)  Segment of Horizontal line 


(1,25) 
(1,25)  Segment of Convex decreasing curve; (1,100)  Segment of Horizontal line 
Let's construct two sequences of matrices:
= with , if , ,
then
and
=
where
R _{ik } = ,
with and , if , .
Let construct the response functions F_{Θ , } and on surface (, ) for , and .
F_{Θ} = F (, , ), Î {10^{16}, 10^{0}}, Î {10^{7}, 10^{13}}.
The presented as contours on Fig. 4,  on Fig. 5 and  on Fig. 6.
Criteria Type  Correct Region  Det R Correct Region  Incorrect Region for  Det R Incorrect Region  Criteria Slope 
(14, 3)  (6, 13)  None  None  1  
(14, 1.5)  (6, 13)  None  None  2  
(10, 1.5)  (8, 13)  (13, 10)  (6.5, 10)  2 