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Convergence with Hilbert's space filling curve
1969
Journal of computer and system sciences (Print)
The subject of this paper is a means of converging to a set of numbers in certain mathematical programming problems where a conventional programming method is not possible. The space filling curve is shown to provide a tool for doing this. An algorithm for generating such a curve is presented; the resulting space filling curve is a generalization of a mapping which Hilbert gave for the unit square only, in geometric form only. The following topics are discussed: convergence to solutions of
doi:10.1016/s0022-0000(69)80010-3
fatcat:pyfd47htirei3ds7rvhchlm6ba