OneNorm class derived from the abstract base class Norm. More...
#include <norm.hh>
Detailed Description
template<class Vector>
class Kaskade::OneNorm< Vector >
class Kaskade::OneNorm< Vector >
OneNorm class derived from the abstract base class Norm.
Here the one norm represents the one norm of a vector of Vectors or a vector of Matrices. For a vector of Vectors \( \mathbf{V} := \{\mathbf{v_1},\ldots, \mathbf{v_m} \} \), where \( \mathbf{v_i} = \{v_{i,1},\ldots, v_{i,n}\} \). Such that \( \| V \|_1 := \sum_{i=1}^m \|\mathbf{v_i}\|_1 \) where, \( \|\mathbf{v_i}\|_1:= \sum_{j=1}^n |v_{ij}| \).
Inheritance diagram for Kaskade::OneNorm< Vector >:
Public Types | |
| using | field_type = typename Vector::value_type |
Public Member Functions | |
| virtual field_type | value (std::vector< Vector > const &vecs) |
| virtual | ~OneNorm () |
Member Typedef Documentation
◆ field_type
template<class Vector >
| using Kaskade::OneNorm< Vector >::field_type = typename Vector::value_type |
Constructor & Destructor Documentation
◆ ~OneNorm()
template<class Vector >
|
inlinevirtual |
Member Function Documentation
◆ value()
template<class Vector >
|
inlinevirtual |
- Parameters
-
vecs : the member function value takes in a vector of Vectors and computes its norm.
- Returns
- It returns the norm, which is usually of type double.
Implements Kaskade::Norm< Vector >.
The documentation for this class was generated from the following file:
