Description of fast matrix multiplication algorithm: ⟨4×16×21:904⟩

Algorithm type

40X4Y4Z4+24XY9Z+64X2Y6Z2+8XY7Z+32X2Y4Z2+48XY6Z+32X2Y3Z2+8XY5Z+192X2Y2Z2+8XY4Z+152XY3Z+72XY2Z+224XYZ40X4Y4Z424XY9Z64X2Y6Z28XY7Z32X2Y4Z248XY6Z32X2Y3Z28XY5Z192X2Y2Z28XY4Z152XY3Z72XY2Z224XYZ40*X^4*Y^4*Z^4+24*X*Y^9*Z+64*X^2*Y^6*Z^2+8*X*Y^7*Z+32*X^2*Y^4*Z^2+48*X*Y^6*Z+32*X^2*Y^3*Z^2+8*X*Y^5*Z+192*X^2*Y^2*Z^2+8*X*Y^4*Z+152*X*Y^3*Z+72*X*Y^2*Z+224*X*Y*Z

Algorithm definition

Algorithm description

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.


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