The componentwise descent method
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 137-142.

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The problem of minimizing a function of several variables on a parallelepiped is considered. A method of componentwise descent, not requiring the computation of derivatives of the function being minimized, is suggested for its solution. Its convergence for smooth convex functions is proved.
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     author = {V. A. Zhdanov},
     title = {The componentwise descent method},
     journal = {Matemati\v{c}eskie zametki},
     pages = {137--142},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a14/}
}
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V. A. Zhdanov. The componentwise descent method. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 137-142. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a14/