Creating a Block Tridiagonal Matrix in MATLAB

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SUMMARY

The discussion focuses on creating a block tridiagonal matrix in MATLAB using matrices A, B, and C, each of size 4x4, where the elements depend on a variable n. The leading diagonal of the block tridiagonal matrix D is formed by matrix A, the upper diagonal by matrix B, and the lower diagonal by matrix C. The user seeks assistance in writing the MATLAB code, specifically in an M-file format, to construct this matrix where the elements change based on the value of n.

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sayeh
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Dear friends
I have a problem in creating a block tridiagonal matrix. I try to create a block tridiagonal matrix in MATLAB and I tried everything but it is not working for me. I have matrices A, B, C of dimension 4*4. Elements od these matrices are dependent on (n) and in each n has different values. I have to develop a block tridiagonal matrix D whose leading diagonal is matrix A and whose upper diagonal is matrix B and lower diagonal is Matrix C( as mentioned because these matrices are dependent on n , Elements of blocks in matrix (D) will change). I will be grateful if anyone can help me how to write it in MATLAB and especially as a part of M-file.

D=[A(n=1),B(n=1),0,0,0,0,0,0,0,0,0,0,0,0,...
C(n=2),A(n=2),B(n=2),0,0,0,0,0,0,0,0,...
0,0,0,0,C(n=3),A(n=3),B(n=3),0,0,0,0,...]
 
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It might help to think of each diagonal as points on a line with integer coordinates.
 

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