Description of fast matrix multiplication algorithm: ⟨29×29×30:12526⟩

Algorithm type

5902⁢X3⁢Y3⁢Z3+650⁢X3⁢Y2⁢Z3+1462⁢X3⁢Y3⁢Z+365⁢X3⁢Y2⁢Z2+1002⁢X2⁢Y3⁢Z2+352⁢X2⁢Y2⁢Z3+81⁢X3⁢Y2⁢Z+13⁢X3⁢Y⁢Z2+81⁢X2⁢Y3⁢Z+563⁢X2⁢Y2⁢Z2+26⁢X2⁢Y⁢Z3+127⁢X2⁢Y2⁢Z+31⁢X2⁢Y⁢Z2+26⁢X⁢Y3⁢Z+14⁢X⁢Y2⁢Z2+1543⁢X⁢Y⁢Z3+2⁢X2⁢Y⁢Z+30⁢X⁢Y2⁢Z+137⁢X⁢Y⁢Z2+119⁢X⁢Y⁢Z5902X3Y3Z3650X3Y2Z31462X3Y3Z365X3Y2Z21002X2Y3Z2352X2Y2Z381X3Y2Z13X3YZ281X2Y3Z563X2Y2Z226X2YZ3127X2Y2Z31X2YZ226XY3Z14XY2Z21543XYZ32X2YZ30XY2Z137XYZ2119XYZ5902*X^3*Y^3*Z^3+650*X^3*Y^2*Z^3+1462*X^3*Y^3*Z+365*X^3*Y^2*Z^2+1002*X^2*Y^3*Z^2+352*X^2*Y^2*Z^3+81*X^3*Y^2*Z+13*X^3*Y*Z^2+81*X^2*Y^3*Z+563*X^2*Y^2*Z^2+26*X^2*Y*Z^3+127*X^2*Y^2*Z+31*X^2*Y*Z^2+26*X*Y^3*Z+14*X*Y^2*Z^2+1543*X*Y*Z^3+2*X^2*Y*Z+30*X*Y^2*Z+137*X*Y*Z^2+119*X*Y*Z

Algorithm definition

The algorithm ⟨29×29×30:12526⟩ is the projection [[1, 2], [0]] of ⟨30×30×30:12710⟩.

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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