Geodesic
Asymptotic Directions for Best Approximations of $n$-Dimensional Linear Forms
Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 55-70

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Some results about asymptotic directions for best approximations of linear forms similar to known results on best simultaneous approximations are obtained. 
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O. N. German. Asymptotic Directions for Best Approximations of $n$-Dimensional Linear Forms. Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 55-70. http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a5/