국가지식-학술정보
ON TRIANGULAR STOCHASTIC MATRICES
ON TRIANGULAR STOCHASTIC MATRICES
- 대한수학회
- Communications of the Korean Mathematical Society
- Vol.9 No.3
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1994.01629 - 639 (11 pages)
- 0
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Loewner ([13]) showend the semigroup of the real non-singular totally positive matrices is generated by itsinfinitesimal elements, that is,s the set of all Jacobi matrices with non-negative off-diagonal elements. In general, a semigroup is not completely recreated from the set of its infinitesimal elements. We extend Loewner's work and show that the semi-group of all invertible upper (or lower) triangular stochastic matrices is generated by the set of its infinitesimal elements.
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