MaxNorm class derived from the abstract base class Norm. Here the max norm represents the max 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 \( \mathbf{v_i} = \{v_{i1},\ldots, v_{i,n}\}\). Such that \( \|V\|_{\infty} := \max_{1 \leq i \leq m} \|\mathbf{v_i}\|_{\infty}\) such that \(\|\mathbf{v_i}\|_{\infty}:= \max_{1 \leq j \leq n} |v_{ij}| \).
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#include <norm.hh>
template<class Vector>
class Kaskade::MaxNorm< Vector >
MaxNorm class derived from the abstract base class Norm. Here the max norm represents the max 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 \( \mathbf{v_i} = \{v_{i1},\ldots, v_{i,n}\}\). Such that \( \|V\|_{\infty} := \max_{1 \leq i \leq m} \|\mathbf{v_i}\|_{\infty}\) such that \(\|\mathbf{v_i}\|_{\infty}:= \max_{1 \leq j \leq n} |v_{ij}| \).
Definition at line 130 of file norm.hh.
◆ field_type
◆ ~MaxNorm()
◆ value()
- 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 >.
Definition at line 135 of file norm.hh.
The documentation for this class was generated from the following file:
