Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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INFINITESIMALLY GENERATED STOCHASTIC TOTALLY POSITIVE MATRICES

  • Published : 1997.04.01
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Abstract

We show that each element in the semigroup $S_n$ of all $n \times n$ non-singular stochastic totally positive matrices is generated by the infinitesimal elements of $S_n$, which form a cone consisting of all $n \times n$ Jacobi intensity matrices.

Keywords

References

  1. Math. Proc. Camb. Phil. Soc. v.86 Total positivity and the embedding problem for Markov chains H. Frydman;B. Singer
  2. The Theory of Matrices v.1,2 F. R. Gantmacher
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  4. Math. Zeitschr v.63 On totally positive matrices C. Loewner
  5. Math. Zeitschr v.72 A theorem on the partial order derived from a certain transformation semigroup C. Loewner
  6. Master's thesis at Seoul women's university One parameter semigroups in Lie groups H. Min