MATLAB Creating a Block Tridiagonal Matrix in MATLAB

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Creating a block tridiagonal matrix in MATLAB involves defining matrices A, B, and C, each of size 4x4, with elements dependent on a variable n. The goal is to construct a matrix D where the leading diagonal consists of matrix A, the upper diagonal consists of matrix B, and the lower diagonal consists of matrix C, with elements changing based on n. The proposed structure of D suggests a pattern where each diagonal is represented at integer coordinates. Users are seeking guidance on how to implement this in MATLAB, particularly in an M-file format. Assistance with coding this matrix structure is requested to achieve the desired outcome.
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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