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boost::numeric::ublas::triangular_matrix< T, TRI, L, A > Class Template Reference

A triangular matrix of values of type T. More...

Inherits matrix_container< triangular_matrix< T, TRI, L, A > >.

List of all members.

Classes

class  const_iterator1
class  const_iterator2
class  iterator1
class  iterator2

Public Types

typedef A::size_type size_type
typedef A::difference_type difference_type
typedef T value_type
typedef const T & const_reference
typedef T & reference
typedef A array_type
typedef const matrix_reference
< const self_type
const_closure_type
typedef matrix_reference
< self_type
closure_type
typedef vector< T, A > vector_temporary_type
typedef matrix< T, L, A > matrix_temporary_type
typedef packed_tag storage_category
typedef L::orientation_category orientation_category
typedef reverse_iterator_base1
< const_iterator1
const_reverse_iterator1
typedef reverse_iterator_base1
< iterator1
reverse_iterator1
typedef reverse_iterator_base2
< const_iterator2
const_reverse_iterator2
typedef reverse_iterator_base2
< iterator2
reverse_iterator2

Public Member Functions

BOOST_UBLAS_INLINE triangular_matrix (size_type size1, size_type size2)
BOOST_UBLAS_INLINE triangular_matrix (size_type size1, size_type size2, const array_type &data)
BOOST_UBLAS_INLINE triangular_matrix (const triangular_matrix &m)
template<class AE >
BOOST_UBLAS_INLINE triangular_matrix (const matrix_expression< AE > &ae)
BOOST_UBLAS_INLINE size_type size1 () const
BOOST_UBLAS_INLINE size_type size2 () const
BOOST_UBLAS_INLINE const
array_type & 
data () const
BOOST_UBLAS_INLINE array_type & data ()
BOOST_UBLAS_INLINE void resize (size_type size1, size_type size2, bool preserve=true)
BOOST_UBLAS_INLINE void resize_packed_preserve (size_type size1, size_type size2)
BOOST_UBLAS_INLINE const_reference operator() (size_type i, size_type j) const
BOOST_UBLAS_INLINE reference at_element (size_type i, size_type j)
BOOST_UBLAS_INLINE reference operator() (size_type i, size_type j)
BOOST_UBLAS_INLINE reference insert_element (size_type i, size_type j, const_reference t)
BOOST_UBLAS_INLINE void erase_element (size_type i, size_type j)
BOOST_UBLAS_INLINE void clear ()
BOOST_UBLAS_INLINE
triangular_matrix
operator= (const triangular_matrix &m)
BOOST_UBLAS_INLINE
triangular_matrix
assign_temporary (triangular_matrix &m)
template<class AE >
BOOST_UBLAS_INLINE
triangular_matrix
operator= (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE
triangular_matrix
assign (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE
triangular_matrix
operator+= (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE
triangular_matrix
plus_assign (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE
triangular_matrix
operator-= (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE
triangular_matrix
minus_assign (const matrix_expression< AE > &ae)
template<class AT >
BOOST_UBLAS_INLINE
triangular_matrix
operator*= (const AT &at)
template<class AT >
BOOST_UBLAS_INLINE
triangular_matrix
operator/= (const AT &at)
BOOST_UBLAS_INLINE void swap (triangular_matrix &m)
BOOST_UBLAS_INLINE const_iterator1 find1 (int rank, size_type i, size_type j) const
BOOST_UBLAS_INLINE iterator1 find1 (int rank, size_type i, size_type j)
BOOST_UBLAS_INLINE const_iterator2 find2 (int rank, size_type i, size_type j) const
BOOST_UBLAS_INLINE iterator2 find2 (int rank, size_type i, size_type j)
BOOST_UBLAS_INLINE const_iterator1 begin1 () const
BOOST_UBLAS_INLINE const_iterator1 end1 () const
BOOST_UBLAS_INLINE iterator1 begin1 ()
BOOST_UBLAS_INLINE iterator1 end1 ()
BOOST_UBLAS_INLINE const_iterator2 begin2 () const
BOOST_UBLAS_INLINE const_iterator2 end2 () const
BOOST_UBLAS_INLINE iterator2 begin2 ()
BOOST_UBLAS_INLINE iterator2 end2 ()
BOOST_UBLAS_INLINE
const_reverse_iterator1 
rbegin1 () const
BOOST_UBLAS_INLINE
const_reverse_iterator1 
rend1 () const
BOOST_UBLAS_INLINE
reverse_iterator1 
rbegin1 ()
BOOST_UBLAS_INLINE
reverse_iterator1 
rend1 ()
BOOST_UBLAS_INLINE
const_reverse_iterator2 
rbegin2 () const
BOOST_UBLAS_INLINE
const_reverse_iterator2 
rend2 () const
BOOST_UBLAS_INLINE
reverse_iterator2 
rbegin2 ()
BOOST_UBLAS_INLINE
reverse_iterator2 
rend2 ()

Friends

BOOST_UBLAS_INLINE friend void swap (triangular_matrix &m1, triangular_matrix &m2)

Detailed Description

template<class T, class TRI, class L, class A>
class boost::numeric::ublas::triangular_matrix< T, TRI, L, A >

For a $(n \times n )$-dimensional lower triangular matrix and if $0 \leq i < n$, $0 \leq j < n$ and $i>j$ holds, $m_{i,j}=0$. Furthermore if $m_{i,i}=1$, the matrix is called unit lower triangular.

For a $(n \times n )$-dimensional upper triangular matrix and if $0 \leq i < n$, $0 \leq j < n$ and $i<j$ holds, $m_{i,j}=0$. Furthermore if $m_{i,i}=1$, the matrix is called unit upper triangular.

The default storage for triangular matrices is packed. Orientation and storage can also be specified. Default is row_major and and unbounded_array. It is not required by the storage to initialize elements of the matrix.

Template Parameters:
T the type of object stored in the matrix (like double, float, complex, etc...)
TRI the type of the triangular matrix. It can either be lower or upper. Default is lower
L the storage organization. It can be either row_major or column_major. Default is row_major
A the type of Storage array. Default is unbounded_array

Generated on Sun Jul 4 20:31:07 2010 for ublas by  doxygen 1.6.1