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Thanks for the answer. I want to compute Jordan normal forms of block matrices where a block is of the form

[   d0    d1    d2   d3]
[    0    d0    d1   d2]
[    0     0    d0   d1]
[    0     0     0   d0]

(i.e. an upper triangular Toeplitz matrix whose entries are variables or 0).

Thanks for the answer. I want to compute [the transformation matrix to] the Jordan normal forms of block matrices where a block is whose blocks are of the form

[   d0    d1    d2   d3]
[    0    d0    d1   d2]
[    0     0    d0   d1]
[    0     0     0   d0]

(i.e. an upper triangular Toeplitz matrix whose entries are variables or 0).