Geodesic
The optimal choice of initial approximations to solutions of regularized equations in the theory of branching
Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 273-278

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In [1, 2], V. A. Trenogin and the author proposed a method for constructing regularizing equations (R.E.) for ill-posed problems in the theory of branching [3, 4]. Here we consider the problem of choosing initial approximations, that are optimal in a certain sense, to simple solutions of R.E. in a neighborhood of a branching point. 
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     author = {N. A. Sidorov},
     title = {The optimal choice of initial approximations to solutions of regularized equations in the theory of branching},
     journal = {Matemati\v{c}eskie zametki},
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N. A. Sidorov. The optimal choice of initial approximations to solutions of regularized equations in the theory of branching. Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 273-278. http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a12/