Chebyshev approximation of a point set by a straight line

Wolfgang Wetterling; Martin Streng

doi:10.1007/BF01263063

Chebyshev approximation of a point set by a straight line

Wolfgang Wetterling, Martin Streng

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.

Original language	English
Pages (from-to)	187-196
Journal	Constructive approximation
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/BF01263063
Publication status	Published - 1994

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Cite this

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title = "Chebyshev approximation of a point set by a straight line",

abstract = "The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.",

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AU - Streng, Martin

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AB - The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.

U2 - 10.1007/BF01263063

DO - 10.1007/BF01263063

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SN - 0176-4276

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JO - Constructive approximation

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