Algorithm Strassen's Method

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Algorithm Strassen's Method

  1. 1. Strassen’s method 2B
  2. 2. : Strassen's method n 2 n 2 ? 1 (A12 B12 1 A21 B21 1) A11*B11 Strassen
  3. 3. n<=8 Strassen’s method n3 M1~M7 : MX (M1 A11+A22 B11+B22) Strassen's method MX MX+1
  4. 4. : m(n)=9*m(n/2)+3*n2 (n/2,n/4...etc) M1~M7 (M1~M7 ) n*n lg n f(n)=∑ 9*(n/(2k))2 + 2*n2 + Θ(lg n) = Θ(n2) k=1
  5. 5. : Pentium D 3.00GHz / Freebsd 7.0-RELEASE 32bit / gcc 4.2.1 n3 n python : n -100~100
  6. 6. n Strassen’s method n3 Strassen’s method n=120~130 n f(n) = 7*f(n/2) n3 Strassen Orz......... not pure Strassen’s method?

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