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Johndcook

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Multiplying a matrix by its transpose

  • Partitioning a matrix into blocks can help in multiplying it by its transpose efficiently.
  • By exploiting symmetry, the calculation time for M multiplied by its transpose can be reduced by up to 2/3.
  • Researchers have devised the RXTX algorithm that can compute M multiplied by its transpose with a 5% time-saving compared to multiplying arbitrary matrices.
  • The algorithm was developed by combining Machine Learning-based search methods with Combinatorial Optimization.

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