Algorithms for Finding Inverse of Two Patterned Matrices over

Algorithm 1

Finding inversion in for factorization of given.

Inverse1

{Calculates the inverse of in

(1) let   ;

(2) for   do

(3) if   in then

(4)   calculate which satisfy

    (mod ) in

(5)   using Newton-Hensel lifting (Lemma 6);

(6) else

(7)    return “ is not invertible”;

(8) endif

(9) endfor

(10) calculate using Chinese remaindering (Lemma 5).