Geodesic
Approximation of functions from stochastic matrixes by interpolation polynomials
Trudy Instituta matematiki, Tome 15 (2007) no. 2, pp. 111-119

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Integral representations interpolation matrix polynomials and their residual members in a class of analytical functions when as nodes interpolation undertake Jordan cells and three-diagonal matrixes of a special kind are received. Sufficient conditions of convergence of interpolation on set of stochastic matrixes are given. Formulas of interpolation low orders when nodes are stochastic matrixes are resulted. 
@article{TIMB_2007_15_2_a11,
     author = {L. A. Yanovich},
     title = {Approximation of functions from stochastic matrixes by interpolation polynomials},
     journal = {Trudy Instituta matematiki},
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     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2007_15_2_a11/}
}
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L. A. Yanovich. Approximation of functions from stochastic matrixes by interpolation polynomials. Trudy Instituta matematiki, Tome 15 (2007) no. 2, pp. 111-119. http://geodesic.mathdoc.fr/item/TIMB_2007_15_2_a11/