The Approximate Bilinear Algorithm of Length 46 for Multiplication of 4   x 4 Matrices
  We propose the arbitrary precision approximate (APA) bilinear algorithm of length 46 for multiplication of 4 x 4 and 4 x 4 matrices. The algorithm has polynomial order 3 and 352 nonzero coefficients from total 2208. 
A. V. Smirnov
math.NA cs.NA