Description of fast matrix multiplication algorithm: ⟨5×15×28:1421⟩

Algorithm type

160X4Y6Z5+32X2Y9Z3+240X2Y6Z5+48XY9Z3+64X2Y6Z3+10X2Y6Z2+96XY6Z3+2X2Y5Z2+34X2Y4Z2+128X2Y3Z3+22XY6Z+2X2Y3Z2+4XY5Z+192XY3Z3+2X2Y3Z+44X2Y2Z2+52XY4Z+2XY2Z3+36XY3Z+6XY2Z2+143XY2Z+100XYZ160X4Y6Z532X2Y9Z3240X2Y6Z548XY9Z364X2Y6Z310X2Y6Z296XY6Z32X2Y5Z234X2Y4Z2128X2Y3Z322XY6Z2X2Y3Z24XY5Z192XY3Z32X2Y3Z44X2Y2Z252XY4Z2XY2Z336XY3Z6XY2Z2143XY2Z100XYZ160*X^4*Y^6*Z^5+32*X^2*Y^9*Z^3+240*X^2*Y^6*Z^5+48*X*Y^9*Z^3+64*X^2*Y^6*Z^3+10*X^2*Y^6*Z^2+96*X*Y^6*Z^3+2*X^2*Y^5*Z^2+34*X^2*Y^4*Z^2+128*X^2*Y^3*Z^3+22*X*Y^6*Z+2*X^2*Y^3*Z^2+4*X*Y^5*Z+192*X*Y^3*Z^3+2*X^2*Y^3*Z+44*X^2*Y^2*Z^2+52*X*Y^4*Z+2*X*Y^2*Z^3+36*X*Y^3*Z+6*X*Y^2*Z^2+143*X*Y^2*Z+100*X*Y*Z

Algorithm definition

The algorithm ⟨5×15×28:1421⟩ is the projection [[0, 0], [29]] of ⟨5×15×29:1421⟩.

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.


Back to main table