How to generate Combination of special sets and subsets

 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

Answer 1

[Jos (10584)]

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)

CIRCULANT can be downloaded here: http://www.mathworks.com/matlabcentral/fileexchange/22876

[Triveni]

Can you combine it(in Tx) automatically

 a = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325];

 for k = 1: numel(a)

Fx{:,:,k} = a(k:numel(a))

 end

 Tx = [Fx{:,:,1},Fx{:,:,2},Fx{:,:,3},Fx{:,:,4},Fx{:,:,5},Fx{:,:,6},Fx{:,:,7},Fx{:,:,8},Fx{:,:,9},Fx{:,:,10}];
%

[Jos (10584)]

Why are you using 3D cell arrays?

Answer 2

[Jos (10584)]

Found both of them :D

[Jos (10584)]

Sorry, lame joke. But I did not understand your question. Can you rephrase it?

[Triveni]

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.