Algebra leneal + coding in python | Geology homework help

  1. Suggest a mechanism to improve the efficiency of the solution of Part 1 in cases in which ; � >. That is, try to find a way to remove the dependence on ; from the running time.

4 A Tradeoff in the LLL Basis Reduction Algorithm (10 points) The !!! algorithm ensures that in the output matrix ' satisfies��'7,8�� ≤ 1 2 ��'7,7�� '27,7 ≥ H'27−1,7−1 − '27−1,7 . for some 1/4 < H < 1. That is, the client code that calls LLL sets H to some value in this range. Explain the tradeoff: what happens when we set H just above 1/4? What happens when we set H just below 1?

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