Geodesic
Approximation of functions from stochastic matrixes by interpolation polynomials
Trudy Instituta matematiki, Tome 15 (2007) no. 2, pp. 111-119 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989 | MR

[2] Sachkov V.N., Tarakanov V.E., Kombinatorika neotritsatelnykh matrits, M., 2000 | MR

[3] Minc H., Nonnegative Matrices, New York, Chichester, Brisbane, Toronto, Singapore, 1987 | MR

[4] Bellman R., Vvedenie v teoriyu matrits, Nauka, M., 1969 | MR | Zbl

[5] Yanovich L.A., Tarasevich A.V., “Skhodimost interpolirovaniya po skalyarnym matrichnym uzlam v klasse analiticheskikh funktsii”, Trudy Instituta matematiki, 14:2 (2006), 102–111

[6] Steeb W.-H., Kronecker product of matrices and applications, Wissenschaftsverlag, Mannheim / Wien / Zurich, 1991 | MR

[7] Makarov V.L., Khlobystov V.V., Yanovich L.A., Interpolirovanie operatorov, Naukova dumka, Kiev, 2000

[8] Voevodin V.V., Kuznetsov Yu.A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl