This is the equivalent of linear algebra—performing matrix multiplication. However, AI models are often used to find intricate patterns in data where the output is not always proportional to the ...

When the equation AXB = C is consistent over the generalized reflexive (or anti-reflexive) matrix X, for any generalized reflexive (or anti-reflexive) initial iterative matrix X₁, the generalized ...

An efficient computational algorithm is developed for solving linear matrix equations whose characteristic interaction matrix H' differs by a matrix of rank r from an interaction matrix H of a system ...

This has been typically done by employing optical operators such as linear scattering matrices, which can be used to determine the input-output relationships of photons as they undergo scattering.