Dune Core Modules (2.4.1)
identitymatrix.hh
Go to the documentation of this file.
Definition of the DUNE_CONSTEXPR macro.
#define DUNE_CONSTEXPR
Set method or expression constexpr if supported by the compiler.
Definition: constexpr.hh:21
Implements a matrix constructed from a given type representing a field and compile-time given number ...
Type traits to determine the type of reals (when working with complex numbers)
Some useful basic math stuff.
FieldTraits< field_type >::real_type frobenius_norm() const
frobenius norm: sqrt(sum over squared values of entries)
Definition: identitymatrix.hh:125
void usmhv(const field_type &alpha, const X &x, Y &y) const
y += alpha A^H x
Definition: identitymatrix.hh:119
void mmhv(const X &x, Y &y) const
y -= A^H x
Definition: identitymatrix.hh:98
DUNE_CONSTEXPR size_type rows() const
return number of rows
Definition: identitymatrix.hh:43
FieldTraits< field_type >::real_type infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: identitymatrix.hh:143
void mmtv(const X &x, Y &y) const
y -= A^T x
Definition: identitymatrix.hh:91
FieldTraits< field_type >::real_type frobenius_norm2() const
square of frobenius norm, need for block recursion
Definition: identitymatrix.hh:131
FieldTraits< field_type >::real_type infinity_norm() const
infinity norm (row sum norm, how to generalize for blocks?)
Definition: identitymatrix.hh:137
void usmv(const field_type &alpha, const X &x, Y &y) const
y += alpha A x
Definition: identitymatrix.hh:105
void umhv(const X &x, Y &y) const
y += A^H x
Definition: identitymatrix.hh:77
void umtv(const X &x, Y &y) const
y += A^T x
Definition: identitymatrix.hh:70
DUNE_CONSTEXPR size_type cols() const
return number of columns
Definition: identitymatrix.hh:45
void usmtv(const field_type &alpha, const X &x, Y &y) const
y += alpha A^T x
Definition: identitymatrix.hh:112
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