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- W148032357 abstract "In this paper we present an algorithm for finding successive best approximations of a line by lattice points in three dimensions. Our algorithm is primarily an extension of the work of Furtwangler [13], which has been generalised for arbitrary radius functions, lattices and initial bases. We show that, after a finite number of initialisation iterations, the algorithm will produce all best approximations to the line above a certain height. Conversely, we show that, after initialisation, all convergents of the algorithm are best approximations (with one possible exception). We also provide a numerical example to illustrate the algorithm." @default.
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- W148032357 date "2003-01-01" @default.
- W148032357 modified "2023-09-27" @default.
- W148032357 title "An Algorithm for Best Approximation of a Line by Lattice Points in Three Dimensions" @default.
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