A structure of the Bang-Bang representation for 3×3 embeddable matrices |
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Authors: | Halina Frydman |
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Institution: | (1) 524 Tish Hall, New York University, Washington Square, 10003 New York, N.Y., USA |
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Abstract: | Summary Necessary and sufficient conditions are given for a 3×3 stochastic matrix to be embeddable by 6 elementary stochastic matrices (Poisson matrices). For a 3×3 embeddable matrix, a structure of the minimal Bang-Bang representation, i.e. the one that contains the smallest number of elementary matrices, is obtained. Based on the minimal Bang-Bang representation an algorithm for determining the embeddability of a 3×3 stochastic matrix is given.I would like to thank Søren Johansen for helpful comments and stimulating discussions on the subject of this paper |
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