norm_inf_space< V >

Description

The infinity norm is defined for the Vector and Matrix concepts. The value_type must be a model of the Field concept, so that we have vector spaces.

For a Vector the infinity norm is defined as

norm_inf( m ) = maxi |vi|

For a Matrix the infinity norm is defined as

norm_inf( v ) = maxi Σj |vi,j|

Example

Definition

Template parameters

Parameter Description Default
V VectorSpace type  

Model of

BanachSpace

Type requirements

V is a model of the Vector or Matrix concepts.

Public base classes

Members

All members of V with, in addition,
Member Where defined Comment
real_type BanachSpace
norm() BanachSpace Returns the infinity-norm.