Geodesic
Regarding the transition operator of the steepest descent
Matematičeskoe modelirovanie, Tome 26 (2014) no. 8, pp. 65-80

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The definition and found of the reverse transition operator of steepest descent are presented. Singular set of the direct transition operator method is constructed. It's demonstrated that it is the union of countable number of non-empty disjoint surface by the $C^\infty$ smoothness class, which are derived from some of the polyhedra by means of the revers transition operator.
Keywords: method of steepest descent, the transition operator, rate of convergence, recurrent operators, set of degenerating points. 
@article{MM_2014_26_8_a4,
     author = {P. F. Zhuk and A. A. Musina},
     title = {Regarding the transition operator of the steepest descent},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {65--80},
     publisher = {mathdoc},
     volume = {26},
     number = {8},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_8_a4/}
}
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P. F. Zhuk; A. A. Musina. Regarding the transition operator of the steepest descent. Matematičeskoe modelirovanie, Tome 26 (2014) no. 8, pp. 65-80. http://geodesic.mathdoc.fr/item/MM_2014_26_8_a4/