Package org.djunits.vecmat.operations

Interface Normed<Q extends Quantity<Q,U>,U extends UnitInterface<U,Q>>

Type Parameters:
Q - the quantity type
U - the unit type
All Known Implementing Classes:
Vector, Vector1, Vector2, Vector2.Col, Vector2.Row, Vector3, Vector3.Col, Vector3.Row, VectorN, VectorN.Col, VectorN.Row
public interface Normed<Q extends Quantity<Q,U>,U extends UnitInterface<U,Q>>
Normed calculates a norm of an element, expressed as a quantity.

Copyright (c) 2025-2026 Delft University of Technology, Jaffalaan 5, 2628 BX Delft, the Netherlands. All rights reserved. See for project information https://djunits.org. The DJUNITS project is distributed under a three-clause BSD-style license.

Author:
Alexander Verbraeck

  • Method Summary

    Modifier and Type
    Method
    Description
    default Q
    norm()
    Return the norm of this element, expressed as a quantity.
    Q
    normL1()
    Return the L1-norm of this element, expressed as a quantity.
    Q
    normL2()
    Return the L2-norm of this element, expressed as a quantity.
    Q
    normLinf()
    Return the L∞-norm of this element, expressed as a quantity.
    Q
    normLp(int p)
    Return the Lp-norm of this element, expressed as a quantity.

  • Method Details

    • norm

      default Q norm()
      Return the norm of this element, expressed as a quantity. The standard norm is the L2-norm.
      Returns:
      the norm of this element, expressed as a quantity

    • normL1

      Q normL1()
      Return the L1-norm of this element, expressed as a quantity. The L1-norm is |x1| + |x2| + ... + |xn|.
      Returns:
      the L1-norm of this element, expressed as a quantity

    • normL2

      Q normL2()
      Return the L2-norm of this element, expressed as a quantity. The L2-norm is sqrt(x1^2 + x2^2 + ... + xn^2).
      Returns:
      the L2-norm of this element, expressed as a quantity

    • normLp

      Q normLp(int p)
      Return the Lp-norm of this element, expressed as a quantity. The Ln-norm is (x1^p + x2^p + ... + xn^p)^(1/p).
      Parameters:
      p - the rank of the norm
      Returns:
      the Lp-norm of this element, expressed as a quantity

    • normLinf

      Q normLinf()
      Return the L∞-norm of this element, expressed as a quantity. The L∞-norm is max(|x1|, |x2|, ..., |xn|).
      Returns:
      the L∞-norm of this element, expressed as a quantity