ℓ1 Norm Distance Function

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An ℓ1 norm distance function is a Minkowski distance function with [math]d=1[/math] (that represents the shortest distance in unit steps along each axis between two points).



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  • (Weisstein, 2009-11-02) ⇒ Eric W. Weisstein. (2009). “L1-Norm." From MathWorld - A Wolfram Web Resource. http://mathworld.wolfram.com/L1-Norm.html
    • A vector norm defined for a vector [math]\mathbf{x}=[x_1, x_2, ..., x_n][/math], with complex entries by [math]|x|_1=\sum_{r=1}^n|x_r|[/math]. The [math]L^1[/math]-norm [math]|x|_1[/math] of a vector [math]x[/math] is ...

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1990

  • (Horn & Johnson, 1990) ⇒ R. A. Horn, and C. R. Johnson. (1990). “Norms for Vectors and Matrices." Ch. 5 in Matrix Analysis. Cambridge University Press.