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Logarithm with matrix
By NekoKarp, history, 7 years ago, translation, In English

Exist matrix A and matrix B. A=power(B, n). How can I found n?

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7 years ago, hide # |
 
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Are A and B over real numbers or integers modulo a prime? If they are over integers modulo a prime then this is at least as hard to calculate as discrete logarithm modulo a prime, i.e. pretty hard.

I don't know a solution but here are some properties that would make this problem easy:

  • A is diagonalizable;
  • The determinant of A is not 0, 1 or -1.
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