Exact Solution of Linear Equations Using P-Adie Expansions

  • Numerische Mathematik
  • Published 2005
A method is described for computing the exact rational solution to a regular system Ax=b of linear equations with integer coefficients. The method involves: (i) computing the inverse (modp) of A for some prime p; (ii) using successive refinements to compute an integer vector ~ such that A,2-b (modp") for a suitably large integer m; and (iii) deducing the… CONTINUE READING

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