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Questions on the manipulation of matrices in Mathematica.

3 votes
1 answer
72 views

Matrix rank of triangular integer matrix powers. Can it be speed up?

I need to determine ranks of the powers of a triangular $0$-diagonal integer matrix of a high dimension. … multiplication remains almost constant for the matrix power larger than 10, the time for computing the matrix rank increases linearly with the matrix power till the power of about the half of the matrix
drer's user avatar
  • 719
7 votes
3 answers
346 views

Generating a (sparse?) array from data

I have a list: {{pos_1,val_1},{pos_2,val_2},...} and would like to generate an array of dimension d, with values val_i at positionspos_i, the rest being filled with 0. I would assume that I shall u …
drer's user avatar
  • 719