Titlebook: Locating Lines and Hyperplanes; Theory and Algorithm Anita Sch?bel Book 1999 Springer Science+Business Media Dordrecht 1999 algorithms.comp

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Applied Optimizationhttp://image.papertrans.cn/l/image/587779.jpg

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Line Location with Other Distances,If the unit ball . of the distance measure is a convex set containing the origin that is not symmetric, . does not define a norm, but a gauge (see Definition 2). For such unit balls we use the notation ., and we use . for the corresponding gauge function.

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Line Location with Vertical Distance,e . = .. with slope . ∈ ? and intercept . ∈ ? is given by the length of the vertical line segment between . and . and can be calculated by.If . is a vertical line and . ? ., then ..(., .) . ∞, while ..(., .) . 0 for . ∈ ..

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