Description of fast matrix multiplication algorithm: ⟨12×23×30:4600⟩

Algorithm type

720⁢X6⁢Y6⁢Z4+1080⁢X6⁢Y6⁢Z2+480⁢X3⁢Y6⁢Z2+720⁢X3⁢Y6⁢Z+480⁢X3⁢Y3⁢Z4+880⁢X3⁢Y3⁢Z2+240⁢X3⁢Y3⁢Z720X6Y6Z41080X6Y6Z2480X3Y6Z2720X3Y6Z480X3Y3Z4880X3Y3Z2240X3Y3Z720*X^6*Y^6*Z^4+1080*X^6*Y^6*Z^2+480*X^3*Y^6*Z^2+720*X^3*Y^6*Z+480*X^3*Y^3*Z^4+880*X^3*Y^3*Z^2+240*X^3*Y^3*Z

Algorithm definition

The algorithm ⟨12×23×30:4600⟩ is the projection [[0, 24], [0]] of ⟨12×24×30:4600⟩.

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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