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Birkhoff factorization

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In mathematics, Birkhoff factorization or Birkhoff decomposition is the factorization of a matrix M with coefficients that are Laurent polynomials in z into a product M=M+M0M−, where M+ has entries that are polynomials in z and M− has entries that are polynomials in z−1.

References

  • Birkhoff, George David (1909), "Singular points of ordinary linear differential equations", Transactions of the American Mathematical Society, 10 (4): 436–470, ISSN 0002-9947, JFM 40.0352.02
  • Khimshiashvili, G. (2001) [1994], "Birkhoff factorization", Encyclopedia of Mathematics, EMS Press
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