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A New Algorithm for the Inverse of Matrices with Noncommuting Entries

189   0   0.0 ( 0 )
 Added by Albert Much
 Publication date 2018
  fields Physics
and research's language is English
 Authors Albert Much




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By using the quasi-determinant the construction of Gelfand et al. leads to the inverse of a matrix with noncommuting entries. In this work we offer a new method that is more suitable for physical purposes and motivated by deformation quantization, where our constructed algorithm emulates the commutative case and in addition gives corrections coming from the noncommutativity of the entries. Furthermore, we provide an equivalence of the introduced algorithm and the construction via quasi-determinants.



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