Description of fast matrix multiplication algorithm: ⟨6×8×9:296⟩

Algorithm type

12X4Y4Z4+12X2Y6Z2+24X2Y2Z4+64X2Y2Z2+24XY3Z2+4XY2Z3+8X3YZ+8X2Y2Z+32XY3Z+16X2YZ+20XY2Z+24XYZ2+48XYZ12X4Y4Z412X2Y6Z224X2Y2Z464X2Y2Z224XY3Z24XY2Z38X3YZ8X2Y2Z32XY3Z16X2YZ20XY2Z24XYZ248XYZ12*X^4*Y^4*Z^4+12*X^2*Y^6*Z^2+24*X^2*Y^2*Z^4+64*X^2*Y^2*Z^2+24*X*Y^3*Z^2+4*X*Y^2*Z^3+8*X^3*Y*Z+8*X^2*Y^2*Z+32*X*Y^3*Z+16*X^2*Y*Z+20*X*Y^2*Z+24*X*Y*Z^2+48*X*Y*Z

Algorithm definition

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