Generalized interpolation polynomials of Hermite type for functions of matrix variable
Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 103-114.

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Hermite–Birkhoff type interpolation polynomials are constructed for matrix exponentials and two forms of rational matrix functions. The invariance of separate formulas for special classes of such functions is shown.
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A. P. Hudyakov; L. A. Yanovich. Generalized interpolation polynomials of Hermite type for functions of matrix variable. Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 103-114. http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a11/

[1] Ibragimov I.I., Metody interpolyatsii funktsii i ikh nekotorye primeneniya, M., 1972

[2] Zhidkov N.P., Lineinye approksimatsii funktsionalov, M., 1977 | MR

[3] Khauskholder A.S., Osnovy chislennogo analiza, M., 1956

[4] Makarov V.L., Khlobystov V.V., Yanovich L.A., Interpolirovanie operatorov, Kiev, 2000

[5] Makarov V.L., Khlobystov V.V., Yanovich L.A., Methods of operator interpolation, Kyiv, 2010

[6] Yanovich L.A., Romanovskii Yu.V., “Interpolyatsionnye formuly dlya funktsii mnogikh matrichnykh peremennykh”, Zbirnik prats Institutu matematiki NAN Ukraïni, 7:1 (2010), 365–379 | Zbl

[7] Yanovich L.A., Hudyakov A.P., “On one class of interpolating formulas for functions of matrix variables”, Journal of Computational and Applied Mathematics, 2011, no. 2(105), 136–147

[8] Khudyakov A.P., “Yavnye formuly pogreshnostei i ikh otsenki dlya odnogo sluchaya ermitova interpolirovaniya”, Vestsi NAN Belarusi. Ser. fiz.-mat. navuk, 2010, no. 4, 29–36 | MR