Volume 22, No 3, 2015, P. 5-17
UDC 519.174
**Gimadi E. Kh., Rykov I. A. **
A randomized algorithm for the vector subset problem with the maximal Euclidean norm of its sum
*Abstract:*
We present a randomized approximation algorithm for the problem of finding a subset of a finite set of vectors in the Euclidean space with the maximal norm of the sum vector. We show that with an appropriate choice of parameters, the algorithm is polynomial for the problem with any fixed dimension and asymptotically optimal.
Il. 1, bibliogr. 18.
*Keywords: *search for vector subset, randomized algorithm, asymptotical exactness.
DOI: 10.17377/daio.2015.22.465
*Edward Kh. Gimadi *^{1,2}
Ivan A. Rykov ^{1}
1. Sobolev Institute of Mathematics,
4 Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: gimadi@math.nsc.ru, rykovweb@gmail.com
Received 21 October 2014
Revised 2 March 2015
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