Description of fast matrix multiplication algorithm: ⟨8×8×26:1071⟩

Algorithm type

X8Y8Z8+4X6Y8Z6+50X4Y4Z4+4X2Y8Z2+24X3Y4Z3+364X2Y2Z2+24XY4Z+600XYZX8Y8Z84X6Y8Z650X4Y4Z44X2Y8Z224X3Y4Z3364X2Y2Z224XY4Z600XYZX^8*Y^8*Z^8+4*X^6*Y^8*Z^6+50*X^4*Y^4*Z^4+4*X^2*Y^8*Z^2+24*X^3*Y^4*Z^3+364*X^2*Y^2*Z^2+24*X*Y^4*Z+600*X*Y*Z

Algorithm definition

The algorithm ⟨8×8×26:1071⟩ is the (Kronecker) tensor product of ⟨4×4×13:153⟩ with ⟨2×2×2:7⟩.

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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