Description of fast matrix multiplication algorithm: ⟨12×21×29:4160⟩

Algorithm type

576⁢X4⁢Y6⁢Z6+864⁢X2⁢Y6⁢Z6+32⁢X4⁢Y6⁢Z3+368⁢X2⁢Y6⁢Z3+128⁢X2⁢Y3⁢Z6+256⁢X4⁢Y3⁢Z3+480⁢X⁢Y6⁢Z3+192⁢X⁢Y3⁢Z6+736⁢X2⁢Y3⁢Z3+528⁢X⁢Y3⁢Z3576X4Y6Z6864X2Y6Z632X4Y6Z3368X2Y6Z3128X2Y3Z6256X4Y3Z3480XY6Z3192XY3Z6736X2Y3Z3528XY3Z3576*X^4*Y^6*Z^6+864*X^2*Y^6*Z^6+32*X^4*Y^6*Z^3+368*X^2*Y^6*Z^3+128*X^2*Y^3*Z^6+256*X^4*Y^3*Z^3+480*X*Y^6*Z^3+192*X*Y^3*Z^6+736*X^2*Y^3*Z^3+528*X*Y^3*Z^3

Algorithm definition

The algorithm ⟨12×21×29:4160⟩ is the projection [[0, 0], [30]] of ⟨12×21×30:4160⟩.

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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