How to generate Combination of special sets and subsets

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a = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325]; %Initial Guess
Fx(:,:,1) = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325];
Fx(:,:,2) = [125, 150, 175, 200, 225, 250, 275, 300, 325, 100]; % Delete First Column and add to last
Fx(:,:,3) = [150, 175, 200, 225, 250, 275, 300, 325, 100, 125]; % Delete Second Column and add to last
Fx(:,:,4) = [175, 200, 225, 250, 275, 300, 325, 100, 125, 150];
Fx(:,:,5) = [200, 225, 250, 275, 300, 325, 100, 125, 150, 175];
Fx(:,:,6) = [225, 250, 275, 300, 325, 100, 125, 150, 175, 200];
Fx(:,:,7) = [250, 275, 300, 325, 100, 125, 150, 175, 200, 225];
Fx(:,:,8) = [275, 300, 325, 100, 125, 150, 175, 200, 225, 250];
Fx(:,:,9) = [300, 325, 100, 125, 150, 175, 200, 225, 250, 275];
Fx(:,:,10)= [300, 325, 100, 125, 150, 175, 200, 225, 250, 275];
Tx = [Fx(:,:,1),Fx(:,:,2),Fx(:,:,3),Fx(:,:,4),Fx(:,:,5),Fx(:,:,6),Fx(:,:,7),Fx(:,:,8),Fx(:,:,9),Fx(:,:,10)]; % Combine all subsets
Cx(:,:,1) = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325];
Cx(:,:,2) = [125, 150, 175, 200, 225, 250, 275, 300, 325];
Cx(:,:,3) = [150, 175, 200, 225, 250, 275, 300, 325];
Cx(:,:,4) = [175, 200, 225, 250, 275, 300, 325];
Cx(:,:,5) = [200, 225, 250, 275, 300, 325];
Cx(:,:,6) = [225, 250, 275, 300, 325];
Cx(:,:,7) = [250, 275, 300, 325];
Cx(:,:,8) = [275, 300, 325];
Cx(:,:,9) = [300, 325];
Cx(:,:,10)= [300];
Tc = [Cx(:,:,1),Cx(:,:,2),Cx(:,:,3),Cx(:,:,4),Cx(:,:,5),Cx(:,:,6),Cx(:,:,7),Cx(:,:,8),Cx(:,:,9),Cx(:,:,10)];
%Please help me to find Tx and Tc

Accepted Answer

Jos (10584)
Jos (10584) on 18 May 2016
Edited: Jos (10584) on 18 May 2016
This is called a circulant matrix. I have written a function that can be found in the File Exchange:
A = [100 125 300 400]
B = circulant(A,-1)
tf = flipud(tril(true(size(B))))
C = B(tf)
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More Answers (1)

Jos (10584)
Jos (10584) on 18 May 2016
Edited: Jos (10584) on 18 May 2016
Found both of them :D
  2 Comments
Triveni
Triveni on 18 May 2016
I want to solve it from loop. or any good way instead of manual solution. i need combination Fx and combine all Fx into Tx
Tx =
Columns 1 through 27
100 125 150 175 200 225 250 275 300 325 125 150 175 200 225 250 275 300 325 100 150 175 200 225 250 275 300
Columns 28 through 54
325 100 125 175 200 225 250 275 300 325 100 125 150 200 225 250 275 300 325 100 125 150 175 225 250 275 300
Columns 55 through 81
325 100 125 150 175 200 250 275 300 325 100 125 150 175 200 225 275 300 325 100 125 150 175 200 225 250 300
Columns 82 through 100
325 100 125 150 175 200 225 250 275 300 325 100 125 150 175 200 225 250 275
and Tc (combine all combination). I am unable to calculate Tc.

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