Home > Articles > Published articles > Two generalizations of Dykstra's cyclic projections algorithm |
Date: | 1997 |
Abstract: | Dykstra's cyclic projections algorithm allows one to compute best approximations to any pointx in a Hilbert space from the intersection C = (intersection)^r_1 C_i of a finite number of closed convex sets C_i, by reducing it to a sequence of best approximation problems from the individual sets C_i. Here we present two generalizations of this algorithm. First we allow the number of sets C_i to be infinite rather than finite; secondly, we allow a random, rather than cyclic, ordering of the sets C_i. . |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Dykstra's algorithm ; Cyclic projections ; Successive approximation ; Convex feasibility ; Alternating projections ; Best approximation ; Hildreth's algorithm ; Finite element method |
Published in: | Mathematical Programming, vol. 77 n. 3 (1997) p. 335-355, ISSN 0025-5610 |
21 p, 759.1 KB ![]() |