Geodesic
Application of an~arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 729-740.

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We consider a method of successive substitution generalizing the known Kolmogorov–Arnol'd method so as to be applicable in a proof of the reducibility of linear systems with odd almost-periodic coefficients. We prove that our method can be made to converge arbitrarily rapidly. The method is used to solve a problem that cannot be solved by the Kolmogorov–Arnol'd method because of the relatively slow convergence of the latter.mplex. 
@article{MZM_1968_4_6_a13,
     author = {I. N. Blinov},
     title = {Application of an~arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients},
     journal = {Matemati\v{c}eskie zametki},
     pages = {729--740},
     publisher = {mathdoc},
     volume = {4},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a13/}
}
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I. N. Blinov. Application of an~arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 729-740. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a13/