Teuchos::SerialDenseMatrix< OrdinalType, ScalarType > Class Template Reference

This class creates and provides basic support for dense rectangular matrix of templated type. More...

#include <Teuchos_SerialDenseMatrix.hpp>

Inheritance diagram for Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >:

Teuchos::CompObject Teuchos::Object Teuchos::BLAS< OrdinalType, ScalarType > Teuchos::SerialDenseVector< OrdinalType, ScalarType > List of all members.

Public Member Functions

Constructor/Destructor methods.
 SerialDenseMatrix ()
 Default Constructor.
 SerialDenseMatrix (OrdinalType numRows, OrdinalType numCols)
 Shaped Constructor.
 SerialDenseMatrix (DataAccess CV, ScalarType *values, OrdinalType stride, OrdinalType numRows, OrdinalType numCols)
 Shaped Constructor with Values.
 SerialDenseMatrix (const SerialDenseMatrix< OrdinalType, ScalarType > &Source, ETransp trans=Teuchos::NO_TRANS)
 Copy Constructor.
 SerialDenseMatrix (DataAccess CV, const SerialDenseMatrix< OrdinalType, ScalarType > &Source, OrdinalType numRows, OrdinalType numCols, OrdinalType startRow=0, OrdinalType startCol=0)
 Submatrix Copy Constructor.
virtual ~SerialDenseMatrix ()
 Destructor.
Shaping methods.
int shape (OrdinalType numRows, OrdinalType numCols)
 Shape method for changing the size of a SerialDenseMatrix, initializing entries to zero.
int shapeUninitialized (OrdinalType numRows, OrdinalType numCols)
 Same as shape() except leaves uninitialized.
int reshape (OrdinalType numRows, OrdinalType numCols)
 Reshaping method for changing the size of a SerialDenseMatrix, keeping the entries.
Set methods.
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator= (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Copies values from one matrix to another.
SerialDenseMatrix< OrdinalType,
ScalarType > & 
assign (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Copies values from one matrix to another.
int putScalar (const ScalarType value=Teuchos::ScalarTraits< ScalarType >::zero())
 Set all values in the matrix to a constant value.
int random ()
 Set all values in the matrix to be random numbers.
Accessor methods.
ScalarType & operator() (OrdinalType rowIndex, OrdinalType colIndex)
 Element access method (non-const).
const ScalarType & operator() (OrdinalType rowIndex, OrdinalType colIndex) const
 Element access method (const).
ScalarType * operator[] (OrdinalType colIndex)
 Column access method (non-const).
const ScalarType * operator[] (OrdinalType colIndex) const
 Column access method (const).
ScalarType * values () const
 Data array access method.
Mathematical methods.
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator+= (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Add another matrix to this matrix.
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator-= (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Subtract another matrix from this matrix.
int scale (const ScalarType alpha)
 Scale this matrix by alpha; *this = alpha**this.
int scale (const SerialDenseMatrix< OrdinalType, ScalarType > &A)
 Point-wise scale this matrix by A; i.e. *this(i,j) *= A(i,j).
int multiply (ETransp transa, ETransp transb, ScalarType alpha, const SerialDenseMatrix< OrdinalType, ScalarType > &A, const SerialDenseMatrix< OrdinalType, ScalarType > &B, ScalarType beta)
 Multiply A * B and add them to this; this = beta * this + alpha*A*B.
Comparison methods.
bool operator== (const SerialDenseMatrix< OrdinalType, ScalarType > &Operand)
 Equality of two matrices.
bool operator!= (const SerialDenseMatrix< OrdinalType, ScalarType > &Operand)
 Inequality of two matrices.
Attribute methods.
OrdinalType numRows () const
 Returns the row dimension of this matrix.
OrdinalType numCols () const
 Returns the column dimension of this matrix.
OrdinalType stride () const
 Returns the stride between the columns of this matrix in memory.
Norm methods.
ScalarTraits< ScalarType
>::magnitudeType 
normOne () const
 Returns the 1-norm of the matrix.
ScalarTraits< ScalarType
>::magnitudeType 
normInf () const
 Returns the Infinity-norm of the matrix.
ScalarTraits< ScalarType
>::magnitudeType 
normFrobenius () const
 Returns the Frobenius-norm of the matrix.
I/O methods.
virtual void print (std::ostream &os) const
 Print method. Defines the behavior of the std::ostream << operator inherited from the Object class.

Protected Member Functions

void copyMat (ScalarType *inputMatrix, OrdinalType strideInput, OrdinalType numRows, OrdinalType numCols, ScalarType *outputMatrix, OrdinalType strideOutput, OrdinalType startRow, OrdinalType startCol, ScalarType alpha=ScalarTraits< ScalarType >::zero())
void deleteArrays ()
void checkIndex (OrdinalType rowIndex, OrdinalType colIndex=0) const

Protected Attributes

OrdinalType numRows_
OrdinalType numCols_
OrdinalType stride_
bool valuesCopied_
ScalarType * values_

Detailed Description

template<typename OrdinalType, typename ScalarType>
class Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >

This class creates and provides basic support for dense rectangular matrix of templated type.
Examples:

DenseMatrix/cxx_main.cpp, and LAPACK/cxx_main.cpp.

Definition at line 72 of file Teuchos_SerialDenseMatrix.hpp.


Constructor & Destructor Documentation

template<typename OrdinalType, typename ScalarType>
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::SerialDenseMatrix (  ) 

Default Constructor.

Creates a empty matrix of no dimension. The Shaping methods should be used to size this matrix. Values of this matrix should be set using the [], (), or = operators.

Definition at line 363 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::SerialDenseMatrix ( OrdinalType  numRows,
OrdinalType  numCols 
)

Shaped Constructor.

Parameters:
numRows - Number of rows in matrix.
numCols - Number of columns in matrix.
Creates a shaped matrix with numRows rows and numCols cols. All values are initialized to 0. Values of this matrix should be set using the [] or the () operators.

Definition at line 366 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::SerialDenseMatrix ( DataAccess  CV,
ScalarType *  values,
OrdinalType  stride,
OrdinalType  numRows,
OrdinalType  numCols 
)

Shaped Constructor with Values.

Parameters:
CV - Enumerated type set to Teuchos::Copy or Teuchos::View.
values - Pointer to an array of ScalarType. The first column starts at values, the second at values+stride, etc.
stride - The stride between the columns of the matrix in memory.
numRows - Number of rows in matrix.
numCols - Number of columns in matrix.

Definition at line 374 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::SerialDenseMatrix ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Source,
ETransp  trans = Teuchos::NO_TRANS 
)

Copy Constructor.

Note:
A deep copy of the Source transposed can be obtained if trans=TeuchosTRANS, else a non-transposed copy of Source is made. There is no storage of the transpose state of the matrix within the SerialDenseMatrix class, so this information will not propogate to any operation performed on a matrix that has been copy constructed in transpose.

Definition at line 386 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::SerialDenseMatrix ( DataAccess  CV,
const SerialDenseMatrix< OrdinalType, ScalarType > &  Source,
OrdinalType  numRows,
OrdinalType  numCols,
OrdinalType  startRow = 0,
OrdinalType  startCol = 0 
)

Submatrix Copy Constructor.

Parameters:
CV - Enumerated type set to Teuchos::Copy or Teuchos::View.
Source - Reference to another dense matrix from which values are to be copied.
numRows - The number of rows in this matrix.
numCols - The number of columns in this matrix.
startRow - The row of Source from which the submatrix copy should start.
startCol - The column of Source from which the submatrix copy should start.
Creates a shaped matrix with numRows rows and numCols columns, which is a submatrix of Source. If startRow and startCol are not given, then the submatrix is the leading submatrix of Source. Otherwise, the (1,1) entry in the copied matrix is the (startRow, startCol) entry of Source.

Definition at line 423 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::~SerialDenseMatrix (  )  [virtual]

Destructor.

Definition at line 439 of file Teuchos_SerialDenseMatrix.hpp.


Member Function Documentation

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::shape ( OrdinalType  numRows,
OrdinalType  numCols 
)

Shape method for changing the size of a SerialDenseMatrix, initializing entries to zero.

Parameters:
numRows - The number of rows in this matrix.
numCols - The number of columns in this matrix.
This method allows the user to define the dimensions of a SerialDenseMatrix at any point. This method can be called at any point after construction. Any values previously in this object will be destroyed and the resized matrix starts of with all zero values.

Returns:
Integer error code, set to 0 if successful.

Definition at line 449 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::shapeUninitialized ( OrdinalType  numRows,
OrdinalType  numCols 
)

Same as shape() except leaves uninitialized.

Definition at line 462 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::reshape ( OrdinalType  numRows,
OrdinalType  numCols 
)

Reshaping method for changing the size of a SerialDenseMatrix, keeping the entries.

Parameters:
numRows - The number of rows in this matrix.
numCols - The number of columns in this matrix.
This method allows the user to redefine the dimensions of a SerialDenseMatrix at any point. This method can be called at any point after construction. Any values previously in this object will be copied into the reshaped matrix.

Returns:
Integer error code, set 0 if successful.

Definition at line 474 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
SerialDenseMatrix< OrdinalType, ScalarType > & Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator= ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Source  ) 

Copies values from one matrix to another.

The operator= copies the values from one existing SerialDenseMatrix to another. If Source is a view (i.e. CV = Teuchos::View), then this method will return a view. Otherwise, it will return a copy of Source. this object will be resized if it is not large enough to copy Source into.

Definition at line 531 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
SerialDenseMatrix< OrdinalType, ScalarType > & Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::assign ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Source  ) 

Copies values from one matrix to another.

The operator= copies the values from one existing SerialDenseMatrix to another if the dimension of both matrices are the same. If not, this matrix will be returned unchanged.

Definition at line 611 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::putScalar ( const ScalarType  value = Teuchos::ScalarTraits< ScalarType >::zero()  ) 

Set all values in the matrix to a constant value.

Parameters:
value - Value to use; zero if none specified.
Returns:
Integer error code, set to 0 if successful.

Definition at line 503 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::random (  ) 

Set all values in the matrix to be random numbers.

Definition at line 517 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
ScalarType & Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator() ( OrdinalType  rowIndex,
OrdinalType  colIndex 
) [inline]

Element access method (non-const).

Returns the element in the ith row and jth column if A(i,j) is specified, the expression A[j][i] will return the same element.

Returns:
Element from the specified rowIndex row and colIndex column.
Warning:
The validity of rowIndex and colIndex will only be checked if Teuchos is configured with --enable-teuchos-abc.

Definition at line 631 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
const ScalarType & Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator() ( OrdinalType  rowIndex,
OrdinalType  colIndex 
) const [inline]

Element access method (const).

Returns the element in the ith row and jth column if A(i,j) is specified, the expression A[j][i] will return the same element.

Returns:
Element from the specified rowIndex row and colIndex column.
Warning:
The validity of rowIndex and colIndex will only be checked if Teuchos is configured with --enable-teuchos-abc.

Definition at line 640 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
ScalarType * Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator[] ( OrdinalType  colIndex  )  [inline]

Column access method (non-const).

Returns the pointer to the ScalarType array at the jth column if A[j] is specified, the expression A[j][i] will return the same element as A(i,j).

Returns:
Pointer to the ScalarType array at the colIndex column ( values_+colIndex*stride_ ).
Warning:
The validity of colIndex will only be checked if Teuchos is configured with --enable-teuchos-abc.

Reimplemented in Teuchos::SerialDenseVector< OrdinalType, ScalarType >.

Definition at line 658 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
const ScalarType * Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator[] ( OrdinalType  colIndex  )  const [inline]

Column access method (const).

Returns the pointer to the ScalarType array at the jth column if A[j] is specified, the expression A[j][i] will return the same element as A(i,j).

Returns:
Pointer to the ScalarType array at the colIndex column ( values_+colIndex*stride_ ).
Warning:
The validity of colIndex will only be checked if Teuchos is configured with --enable-teuchos-abc.

Reimplemented in Teuchos::SerialDenseVector< OrdinalType, ScalarType >.

Definition at line 649 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
ScalarType* Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::values (  )  const [inline]

Data array access method.

Returns:
Pointer to the ScalarType data array contained in the object.

Definition at line 244 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
SerialDenseMatrix< OrdinalType, ScalarType > & Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator+= ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Source  ) 

Add another matrix to this matrix.

Add Source to this if the dimension of both matrices are the same. If not, this matrix will be returned unchanged.

Definition at line 587 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
SerialDenseMatrix< OrdinalType, ScalarType > & Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator-= ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Source  ) 

Subtract another matrix from this matrix.

Subtract Source from this if the dimension of both matrices are the same. If not, this matrix will be returned unchanged.

Definition at line 599 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::scale ( const ScalarType  alpha  ) 

Scale this matrix by alpha; *this = alpha**this.

Parameters:
alpha Scalar to multiply this by.
Returns:
Integer error code, set to 0 if successful.

Definition at line 767 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::scale ( const SerialDenseMatrix< OrdinalType, ScalarType > &  A  ) 

Point-wise scale this matrix by A; i.e. *this(i,j) *= A(i,j).

The values of *this matrix will be point-wise scaled by the values in A. If A and this matrix are not the same dimension this will be returned unchanged.

Parameters:
B Teuchos::SerialDenseMatrix used to perform element-wise scaling of this.
Returns:
Integer error code, set to 0 if successful.

Definition at line 781 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::multiply ( ETransp  transa,
ETransp  transb,
ScalarType  alpha,
const SerialDenseMatrix< OrdinalType, ScalarType > &  A,
const SerialDenseMatrix< OrdinalType, ScalarType > &  B,
ScalarType  beta 
)

Multiply A * B and add them to this; this = beta * this + alpha*A*B.

Parameters:
transa - Use the transpose of A if transa = Teuchos::TRANS, else don't use the transpose if transa = Teuchos::NOTRANS.
transb - Use the transpose of B if transb = Teuchos::TRANS, else don't use the transpose if transb = Teuchos::NOTRANS.
alpha - The scaling factor for A * B.
A - SerialDenseMatrix
B - SerialDenseMatrix
beta - The scaling factor for this.
If the matrices A and B are not of the right dimension, consistent with this, then this matrix will not be altered and -1 will be returned.
Returns:
Integer error code, set to 0 if successful.

Definition at line 800 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
bool Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator== ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Operand  ) 

Equality of two matrices.

Returns:
True if this matrix and Operand are of the same shape (rows and columns) and have the same entries, else False will be returned.

Definition at line 732 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
bool Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::operator!= ( const SerialDenseMatrix< OrdinalType, ScalarType > &  Operand  ) 

Inequality of two matrices.

Returns:
True if this matrix and Operand of not of the same shape (rows and columns) or don't have the same entries, else False will be returned.

Definition at line 757 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
OrdinalType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::numRows (  )  const [inline]

Returns the row dimension of this matrix.

Definition at line 318 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
OrdinalType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::numCols (  )  const [inline]

Returns the column dimension of this matrix.

Definition at line 321 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
OrdinalType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::stride (  )  const [inline]

Returns the stride between the columns of this matrix in memory.

Definition at line 324 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
ScalarTraits< ScalarType >::magnitudeType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::normOne (  )  const

Returns the 1-norm of the matrix.

Definition at line 671 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
ScalarTraits< ScalarType >::magnitudeType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::normInf (  )  const

Returns the Infinity-norm of the matrix.

Definition at line 696 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
ScalarTraits< ScalarType >::magnitudeType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::normFrobenius (  )  const

Returns the Frobenius-norm of the matrix.

Definition at line 713 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
void Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::print ( std::ostream &  os  )  const [virtual]

Print method. Defines the behavior of the std::ostream << operator inherited from the Object class.

Reimplemented from Teuchos::Object.

Reimplemented in Teuchos::SerialDenseVector< OrdinalType, ScalarType >.

Definition at line 822 of file Teuchos_SerialDenseMatrix.hpp.


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