Description of fast matrix multiplication algorithm: ⟨4×8×18:408⟩

Algorithm type

12X4Y4Z4+12X2Y6Z2+28X2Y4Z2+8X2Y3Z2+84X2Y2Z2+48XY4Z+96XY3Z+32XY2Z+88XYZ12X4Y4Z412X2Y6Z228X2Y4Z28X2Y3Z284X2Y2Z248XY4Z96XY3Z32XY2Z88XYZ12*X^4*Y^4*Z^4+12*X^2*Y^6*Z^2+28*X^2*Y^4*Z^2+8*X^2*Y^3*Z^2+84*X^2*Y^2*Z^2+48*X*Y^4*Z+96*X*Y^3*Z+32*X*Y^2*Z+88*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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