Geodesic
Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 228-232

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The asymptotic behaviour of the well-known method of minimizing the functional $H(x)$, namely the $s$-dimensional, $s > 1$, optimal gradient method in Hilbert space $H$, is investigated. It is found that the results of the usual, $s = 1$, optimal gradient method, given in [1], transfer to the $s$-dimensional process. 
@article{ZVMMF_1979_19_1_a21,
     author = {A. F. Zabolotskaya},
     title = {Asymptotic behaviour of the $s$-dimensional optimal gradient method in {Hilbert} space},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {228--232},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a21/}
}
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A. F. Zabolotskaya. Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 228-232. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a21/