Description of one

one_norm		Programmers Guide
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Category:algorithms

Component type:function

Prototype

template <class LinalgObj> linalg_traits<LinalgObj>::magnitude_type one_norm(const LinalgObj& A) ;

Description

For vectors, the sum of the absolute values of the elements. For matrices, the maximum of the column sums. Note: not implemented yet for unit triangle matrices. is the type of the absolute value of its value_type.

Definition

mtl.h

Requirements on types

The vector or matrix must have an associated magnitude_type that
There must be abs() defined for Vector::value_type.
The addition must be defined for magnitude_type.

Preconditions

Complexity

O(n)

Example

In vec_one_norm.cc:

  typedef complex<double> cplx_d;
  dense1D< cplx_d > x(10, cplx_d(2.0, 1.0));
  double s = one_norm(x);
  cout << s << endl;

Notes

See also