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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::BLAS< OrdinalType, ScalarType > Teuchos::DefaultBLASImpl< OrdinalType, ScalarType > Teuchos::SerialDenseVector< OrdinalType, ScalarType >

Public Types

typedef OrdinalType ordinalType
 Typedef for ordinal type. More...
 
typedef ScalarType scalarType
 Typedef for scalar type. More...
 
- Public Types inherited from Teuchos::DefaultBLASImpl< OrdinalType, ScalarType >
typedef details::GivensRotator
< ScalarType >::c_type 
rotg_c_type
 The type used for c in ROTG. More...
 

Public Member Functions

Constructor/Destructor methods.
 SerialDenseMatrix ()
 Default Constructor. More...
 
 SerialDenseMatrix (OrdinalType numRows, OrdinalType numCols, bool zeroOut=true)
 Shaped Constructor. More...
 
 SerialDenseMatrix (DataAccess CV, ScalarType *values, OrdinalType stride, OrdinalType numRows, OrdinalType numCols)
 Shaped Constructor with Values. More...
 
 SerialDenseMatrix (const SerialDenseMatrix< OrdinalType, ScalarType > &Source, ETransp trans=Teuchos::NO_TRANS)
 Copy Constructor. More...
 
 SerialDenseMatrix (DataAccess CV, const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Copy Constructor. More...
 
 SerialDenseMatrix (DataAccess CV, const SerialDenseMatrix< OrdinalType, ScalarType > &Source, OrdinalType numRows, OrdinalType numCols, OrdinalType startRow=0, OrdinalType startCol=0)
 Submatrix Copy Constructor. More...
 
virtual ~SerialDenseMatrix ()
 Destructor. More...
 
Shaping methods.
int shape (OrdinalType numRows, OrdinalType numCols)
 Shape method for changing the size of a SerialDenseMatrix, initializing entries to zero. More...
 
int shapeUninitialized (OrdinalType numRows, OrdinalType numCols)
 Same as shape() except leaves uninitialized. More...
 
int reshape (OrdinalType numRows, OrdinalType numCols)
 Reshaping method for changing the size of a SerialDenseMatrix, keeping the entries. More...
 
Set methods.
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator= (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Copies values from one matrix to another. More...
 
SerialDenseMatrix< OrdinalType,
ScalarType > & 
assign (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Copies values from one matrix to another. More...
 
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator= (const ScalarType value)
 Set all values in the matrix to a constant value. More...
 
int putScalar (const ScalarType value=Teuchos::ScalarTraits< ScalarType >::zero())
 Set all values in the matrix to a constant value. More...
 
void swap (SerialDenseMatrix< OrdinalType, ScalarType > &B)
 Swap values between this matrix and incoming matrix. More...
 
int random ()
 Set all values in the matrix to be random numbers. More...
 
Accessor methods.
ScalarType & operator() (OrdinalType rowIndex, OrdinalType colIndex)
 Element access method (non-const). More...
 
const ScalarType & operator() (OrdinalType rowIndex, OrdinalType colIndex) const
 Element access method (const). More...
 
ScalarType * operator[] (OrdinalType colIndex)
 Column access method (non-const). More...
 
const ScalarType * operator[] (OrdinalType colIndex) const
 Column access method (const). More...
 
ScalarType * values () const
 Data array access method. More...
 
Mathematical methods.
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator+= (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Add another matrix to this matrix. More...
 
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator-= (const SerialDenseMatrix< OrdinalType, ScalarType > &Source)
 Subtract another matrix from this matrix. More...
 
SerialDenseMatrix< OrdinalType,
ScalarType > & 
operator*= (const ScalarType alpha)
 Scale this matrix by alpha; *this = alpha**this. More...
 
int scale (const ScalarType alpha)
 Scale this matrix by alpha; *this = alpha**this. More...
 
int scale (const SerialDenseMatrix< OrdinalType, ScalarType > &A)
 Point-wise scale this matrix by A; i.e. *this(i,j) *= A(i,j) More...
 
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. More...
 
int multiply (ESide sideA, ScalarType alpha, const SerialSymDenseMatrix< OrdinalType, ScalarType > &A, const SerialDenseMatrix< OrdinalType, ScalarType > &B, ScalarType beta)
 Multiply A and B and add them to this; this = beta * this + alpha*A*B or this = beta * this + alpha*B*A. More...
 
Comparison methods.
bool operator== (const SerialDenseMatrix< OrdinalType, ScalarType > &Operand) const
 Equality of two matrices. More...
 
bool operator!= (const SerialDenseMatrix< OrdinalType, ScalarType > &Operand) const
 Inequality of two matrices. More...
 
Attribute methods.
OrdinalType numRows () const
 Returns the row dimension of this matrix. More...
 
OrdinalType numCols () const
 Returns the column dimension of this matrix. More...
 
OrdinalType stride () const
 Returns the stride between the columns of this matrix in memory. More...
 
bool empty () const
 Returns whether this matrix is empty. More...
 
Norm methods.
ScalarTraits< ScalarType >
::magnitudeType 
normOne () const
 Returns the 1-norm of the matrix. More...
 
ScalarTraits< ScalarType >
::magnitudeType 
normInf () const
 Returns the Infinity-norm of the matrix. More...
 
ScalarTraits< ScalarType >
::magnitudeType 
normFrobenius () const
 Returns the Frobenius-norm of the matrix. More...
 
I/O methods.
virtual void print (std::ostream &os) const
 Print method. Defines the behavior of the std::ostream << operator. More...
 
- Public Member Functions inherited from Teuchos::CompObject
 CompObject ()
 Default constructor. More...
 
 CompObject (const CompObject &source)
 Copy Constructor. More...
 
virtual ~CompObject ()
 Destructor. More...
 
void setFlopCounter (const Flops &FlopCounter)
 Set the internal Teuchos::Flops() pointer. More...
 
void setFlopCounter (const CompObject &compObject)
 Set the internal Teuchos::Flops() pointer to the flop counter of another Teuchos::CompObject. More...
 
void unsetFlopCounter ()
 Set the internal Teuchos::Flops() pointer to 0 (no flops counted). More...
 
FlopsgetFlopCounter () const
 Get the pointer to the Teuchos::Flops() object associated with this object, returns 0 if none. More...
 
void resetFlops () const
 Resets the number of floating point operations to zero for this multi-std::vector. More...
 
double getFlops () const
 Returns the number of floating point operations with this multi-std::vector. More...
 
void updateFlops (int addflops) const
 Increment Flop count for this object. More...
 
void updateFlops (long int addflops) const
 Increment Flop count for this object. More...
 
void updateFlops (double addflops) const
 Increment Flop count for this object. More...
 
void updateFlops (float addflops) const
 Increment Flop count for this object. More...
 
- Public Member Functions inherited from Teuchos::BLAS< OrdinalType, ScalarType >
 BLAS (void)
 Default constructor. More...
 
 BLAS (const BLAS< OrdinalType, ScalarType > &)
 Copy constructor. More...
 
virtual ~BLAS (void)
 Destructor. More...
 
- Public Member Functions inherited from Teuchos::DefaultBLASImpl< OrdinalType, ScalarType >
 DefaultBLASImpl (void)
 Default constructor. More...
 
 DefaultBLASImpl (const DefaultBLASImpl< OrdinalType, ScalarType > &)
 Copy constructor. More...
 
virtual ~DefaultBLASImpl (void)
 Destructor. More...
 
template<typename alpha_type , typename A_type , typename x_type , typename beta_type >
void GEMV (ETransp trans, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const x_type *x, const OrdinalType &incx, const beta_type beta, ScalarType *y, const OrdinalType &incy) const
 Performs the matrix-vector operation: y <- alpha*A*x+beta*y or y <- alpha*A'*x+beta*y where A is a general m by n matrix. More...
 
template<typename A_type >
void TRMV (EUplo uplo, ETransp trans, EDiag diag, const OrdinalType &n, const A_type *A, const OrdinalType &lda, ScalarType *x, const OrdinalType &incx) const
 Performs the matrix-vector operation: x <- A*x or x <- A'*x where A is a unit/non-unit n by n upper/lower triangular matrix. More...
 
template<typename alpha_type , typename x_type , typename y_type >
void GER (const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const x_type *x, const OrdinalType &incx, const y_type *y, const OrdinalType &incy, ScalarType *A, const OrdinalType &lda) const
 Performs the rank 1 operation: A <- alpha*x*y'+A. More...
 
template<typename alpha_type , typename A_type , typename B_type , typename beta_type >
void GEMM (ETransp transa, ETransp transb, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const B_type *B, const OrdinalType &ldb, const beta_type beta, ScalarType *C, const OrdinalType &ldc) const
 General matrix-matrix multiply. More...
 
void SWAP (const OrdinalType &n, ScalarType *const x, const OrdinalType &incx, ScalarType *const y, const OrdinalType &incy) const
 Swap the entries of x and y. More...
 
template<typename alpha_type , typename A_type , typename B_type , typename beta_type >
void SYMM (ESide side, EUplo uplo, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const B_type *B, const OrdinalType &ldb, const beta_type beta, ScalarType *C, const OrdinalType &ldc) const
 Performs the matrix-matrix operation: C <- alpha*A*B+beta*C or C <- alpha*B*A+beta*C where A is an m by m or n by n symmetric matrix and B is a general matrix. More...
 
template<typename alpha_type , typename A_type , typename beta_type >
void SYRK (EUplo uplo, ETransp trans, const OrdinalType &n, const OrdinalType &k, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const beta_type beta, ScalarType *C, const OrdinalType &ldc) const
 Performs the symmetric rank k operation: C <- alpha*A*A'+beta*C or C <- alpha*A'*A+beta*C, where alpha and beta are scalars, C is an n by n symmetric matrix and A is an n by k matrix in the first case or k by n matrix in the second case. More...
 
template<typename alpha_type , typename A_type >
void TRMM (ESide side, EUplo uplo, ETransp transa, EDiag diag, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb) const
 Performs the matrix-matrix operation: B <- alpha*op(A)*B or B <- alpha*B*op(A) where op(A) is an unit/non-unit, upper/lower triangular matrix and B is a general matrix. More...
 
template<typename alpha_type , typename A_type >
void TRSM (ESide side, EUplo uplo, ETransp transa, EDiag diag, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb) const
 Solves the matrix equations: op(A)*X=alpha*B or X*op(A)=alpha*B where X and B are m by n matrices, A is a unit/non-unit, upper/lower triangular matrix and op(A) is A or A'. The matrix X is overwritten on B. More...
 
void ROTG (ScalarType *da, ScalarType *db, rotg_c_type *c, ScalarType *s) const
 Computes a Givens plane rotation. More...
 
void ROT (const OrdinalType &n, ScalarType *dx, const OrdinalType &incx, ScalarType *dy, const OrdinalType &incy, MagnitudeType *c, ScalarType *s) const
 Applies a Givens plane rotation. More...
 
void SCAL (const OrdinalType &n, const ScalarType &alpha, ScalarType *x, const OrdinalType &incx) const
 Scale the vector x by the constant alpha. More...
 
void COPY (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx, ScalarType *y, const OrdinalType &incy) const
 Copy the vector x to the vector y. More...
 
template<typename alpha_type , typename x_type >
void AXPY (const OrdinalType &n, const alpha_type alpha, const x_type *x, const OrdinalType &incx, ScalarType *y, const OrdinalType &incy) const
 Perform the operation: y <- y+alpha*x. More...
 
ScalarTraits< ScalarType >
::magnitudeType 
ASUM (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx) const
 Sum the absolute values of the entries of x. More...
 
template<typename x_type , typename y_type >
ScalarType DOT (const OrdinalType &n, const x_type *x, const OrdinalType &incx, const y_type *y, const OrdinalType &incy) const
 Form the dot product of the vectors x and y. More...
 
ScalarTraits< ScalarType >
::magnitudeType 
NRM2 (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx) const
 Compute the 2-norm of the vector x. More...
 
OrdinalType IAMAX (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx) const
 Return the index of the element of x with the maximum magnitude. More...
 

Related Functions

(Note that these are not member functions.)

template<typename OrdinalType , typename ScalarType >
SerialDenseVector< OrdinalType,
ScalarType > 
getCol (DataAccess CV, SerialDenseMatrix< OrdinalType, ScalarType > &A, const OrdinalType col)
 A templated, non-member, helper function for viewing or copying a column of a SerialDenseMatrix as a SerialDenseVector. More...
 
template<typename OrdinalType , typename ScalarType >
bool setCol (const SerialDenseVector< OrdinalType, ScalarType > &v, const OrdinalType col, SerialDenseMatrix< OrdinalType, ScalarType > &A)
 A templated, non-member, helper function for setting a SerialDenseMatrix column using a SerialDenseVector. More...
 
template<typename OrdinalType , typename ScalarType >
void randomSyncedMatrix (Teuchos::SerialDenseMatrix< OrdinalType, ScalarType > &A)
 A templated, non-member, helper function for generating a random SerialDenseMatrix that is synchronized in parallel. More...
 

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

Definition at line 69 of file Teuchos_SerialDenseMatrix.hpp.

Member Typedef Documentation

template<typename OrdinalType, typename ScalarType>
typedef OrdinalType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::ordinalType

Typedef for ordinal type.

Definition at line 74 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
typedef ScalarType Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::scalarType

Typedef for scalar type.

Definition at line 76 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 414 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType , typename ScalarType >
Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::SerialDenseMatrix ( OrdinalType  numRows,
OrdinalType  numCols,
bool  zeroOut = true 
)

Shaped Constructor.

Parameters
numRows- Number of rows in matrix.
numCols- Number of columns in matrix.
zeroOut- Initializes values to 0 if true (default)

Creates a shaped matrix with numRows rows and numCols cols. All values are initialized to 0 when zeroOut is true. Values of this matrix should be set using the [] or the () operators.

Definition at line 419 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 431 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=Teuchos::TRANS, 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 448 of file Teuchos_SerialDenseMatrix.hpp.

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

Copy Constructor.

Note
Only a non-transposed deep copy or view of Source is made with this copy constructor.

Definition at line 504 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 521 of file Teuchos_SerialDenseMatrix.hpp.

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

Destructor.

Definition at line 543 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 553 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 568 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 582 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 668 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.

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 751 of file Teuchos_SerialDenseMatrix.hpp.

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

Set all values in the matrix to a constant value.

Parameters
value- Value to use;

Definition at line 199 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 614 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType , typename ScalarType >
void Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::swap ( SerialDenseMatrix< OrdinalType, ScalarType > &  B)

Swap values between this matrix and incoming matrix.

Swaps pointers and associated state without copying the matrix data.

Definition at line 628 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 653 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.

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

Definition at line 771 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.

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

Definition at line 780 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.

Definition at line 798 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.

Definition at line 789 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 264 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 727 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 739 of file Teuchos_SerialDenseMatrix.hpp.

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

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

Parameters
alphaScalar to multiply this by.

Definition at line 910 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
alphaScalar to multiply this by.
Returns
Integer error code, set to 0 if successful.

Definition at line 917 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
BTeuchos::SerialDenseMatrix used to perform element-wise scaling of this.
Returns
Integer error code, set to 0 if successful.

Definition at line 932 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::NO_TRANS.
transb- Use the transpose of B if transb = Teuchos::TRANS, else don't use the transpose if transb = Teuchos::NO_TRANS.
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 952 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType , typename ScalarType >
int Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::multiply ( ESide  sideA,
ScalarType  alpha,
const SerialSymDenseMatrix< OrdinalType, ScalarType > &  A,
const SerialDenseMatrix< OrdinalType, ScalarType > &  B,
ScalarType  beta 
)

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

Parameters
sideA- Which side is A on for the multiplication to B, A*B (Teuchos::LEFT_SIDE) or B*A (Teuchos::RIGHT_SIDE).
alpha- The scaling factor for A * B, or B * A.
A- SerialSymDenseMatrix (a serial SPD dense matrix)
B- SerialDenseMatrix (a serial dense matrix)
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 977 of file Teuchos_SerialDenseMatrix.hpp.

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

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 875 of file Teuchos_SerialDenseMatrix.hpp.

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

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 900 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 359 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 362 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 365 of file Teuchos_SerialDenseMatrix.hpp.

template<typename OrdinalType, typename ScalarType>
bool Teuchos::SerialDenseMatrix< OrdinalType, ScalarType >::empty ( ) const
inline

Returns whether this matrix is empty.

Definition at line 368 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 811 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 837 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 855 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.

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

Definition at line 1009 of file Teuchos_SerialDenseMatrix.hpp.

Friends And Related Function Documentation

template<typename OrdinalType , typename ScalarType >
SerialDenseVector< OrdinalType, ScalarType > getCol ( DataAccess  CV,
SerialDenseMatrix< OrdinalType, ScalarType > &  A,
const OrdinalType  col 
)
related

A templated, non-member, helper function for viewing or copying a column of a SerialDenseMatrix as a SerialDenseVector.

Parameters
CV- [in] Enumerated type set to Teuchos::Copy or Teuchos::View
A- [in] SerialDenseMatrix
col- [in] Integer indicating which column of A to return
Note
The syntax for calling this function is: Teuchos::SerialDenseVector<int,double> col_j = Teuchos::getCol<int,double>( Teuchos::View, A, j )

Definition at line 162 of file Teuchos_SerialDenseHelpers.hpp.

template<typename OrdinalType , typename ScalarType >
bool setCol ( const SerialDenseVector< OrdinalType, ScalarType > &  v,
const OrdinalType  col,
SerialDenseMatrix< OrdinalType, ScalarType > &  A 
)
related

A templated, non-member, helper function for setting a SerialDenseMatrix column using a SerialDenseVector.

Parameters
v- [in] SerialDenseVector
col- [in] Integer indicating which column of A to replace with v
A- [out] SerialDenseMatrix
Note
The syntax for calling this function is: bool err = Teuchos::setCol<int,double>( v, j, A )

Definition at line 177 of file Teuchos_SerialDenseHelpers.hpp.

template<typename OrdinalType , typename ScalarType >
void randomSyncedMatrix ( Teuchos::SerialDenseMatrix< OrdinalType, ScalarType > &  A)
related

A templated, non-member, helper function for generating a random SerialDenseMatrix that is synchronized in parallel.

Parameters
A- [in/out] SerialDenseMatrix to be filled with random numbers that are the same across processors

Definition at line 194 of file Teuchos_SerialDenseHelpers.hpp.


The documentation for this class was generated from the following files: