Geodesic
Convergence of the suitable affine subspace method for finding the least distance to a simplex
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 1991-1999

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A minimum-length vector is found for a simplex in a finite-dimensional Euclidean space. The algorithm of successive projections onto affine subspaces containing suitable subsimplices of the initial simplex is shown to have a globally higher-than-linear convergence rate. Results of numerical experiments are presented. 
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     author = {E. A. Nurminski},
     title = {Convergence of the suitable affine subspace method for finding the least distance to a simplex},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1991--1999},
     publisher = {mathdoc},
     volume = {45},
     number = {11},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a7/}
}
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E. A. Nurminski. Convergence of the suitable affine subspace method for finding the least distance to a simplex. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 1991-1999. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a7/