Description of two

two_norm		Programmers Guide
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Category:algorithms

Component type:function

Prototype

template <class Vector> linalg_traits<Vector>::magnitude_type two_norm(const Vector& x) ;

Description

The square root of the sum of the squares of the elements of the container.

Definition

mtl.h

Requirements on types

Vector must have an associated magnitude_type that is the type of the absolute value of Vector::value_type.
There must be abs() defined for Vector::value_type.
The addition must be defined for magnitude_type.
sqrt() must be defined for magnitude_type.

Preconditions

Complexity

O(n)

Example

In vec_two_norm.cc:

  dense1D<double> x(10, 2.0);
  double s = two_norm(x);
  cout << s << endl;

Notes

See also