Vector |
Given an n-vector x, this function calculates the euclidean norm of x.
Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public static double EuclideanNorm( this IReadOnlyList<double> vector )
Parameters
- vector IReadOnlyListDouble
- An input array of length n.
Return Value
DoubleThe euclidian norm of the vector, i.e. the square root of the sum of squares of the elements.
Usage Note
In Visual Basic and C#, you can call this method as an instance method on any object of type IReadOnlyListDouble. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).Remarks
the euclidean norm is computed by accumulating the sum of
squares in three different sums. the sums of squares for the
small and large components are scaled so that no overflows
occur. non-destructive underflows are permitted. underflows
and overflows do not occur in the computation of the unscaled
sum of squares for the intermediate components.
the definitions of small, intermediate and large components
depend on two constants, rdwarf and rgiant. the main
restrictions on these constants are that rdwarf**2 not
underflow and rgiant**2 not overflow. the constants
given here are suitable for every known computer.
burton s. garbow, kenneth e. hillstrom, jorge j. more
See Also