Matrix.MultiplyInto Method

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

MultiplyInto<T>(LinearOperator<T>, Matrix<T>, Matrix<T>)	Multiplies a matrix and a matrix.
MultiplyInto<T>(LinearOperator<T>, Vector<T>, Vector<T>)	Multiplies a matrix and a vector.
MultiplyInto<T>(Matrix<T>, T, Matrix<T>)	Multiplies a matrix by a scalar.
MultiplyInto<T>(Matrix<T>, Vector<T>, Vector<T>)	Multiplies a vector by a matrix.
MultiplyInto<T>(T, Matrix<T>, Matrix<T>)	Multiplies a matrix by a scalar.
MultiplyInto<T>(LinearOperator<T>, TransposeOperation, Matrix<T>, Matrix<T>)	Multiplies a possibly transposed matrix and a matrix.
MultiplyInto<T>(LinearOperator<T>, TransposeOperation, Vector<T>, Vector<T>)	Multiplies a possibly transposed matrix and a vector.
MultiplyInto<T>(Matrix<T>, TransposeOperation, Vector<T>, Vector<T>)	Multiplies a vector by a matrix.
MultiplyInto<T>(Matrix<T>, TransposeOperation, Matrix<T>, TransposeOperation, Matrix<T>)	Multiplies one matrix by another matrix and returns the result.

MultiplyInto<T>(LinearOperator<T>, Matrix<T>, Matrix<T>)

Multiplies a matrix and a matrix.

public static Matrix<T> MultiplyInto<T>(
	LinearOperator<T> left,
	Matrix<T> right,
	Matrix<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	left As LinearOperator(Of T),
	right As Matrix(Of T),
	result As Matrix(Of T)
) As Matrix(Of T)

C++/CLI

public:
generic<typename T>
static Matrix<T>^ MultiplyInto(
	LinearOperator<T>^ left, 
	Matrix<T>^ right, 
	Matrix<T>^ result
)

static member MultiplyInto : 
        left : LinearOperator<'T> * 
        right : Matrix<'T> * 
        result : Matrix<'T> -> Matrix<'T>

Parameters

left LinearOperator<T>: The left operand.
right Matrix<T>: The right operand.
result Matrix<T>: The matrix that is to hold the result. May be null.

Type Parameters

T

Return Value

Matrix<T>
The product of leftwith the matrix right.

MultiplyInto<T>(LinearOperator<T>, Vector<T>, Vector<T>)

Multiplies a matrix and a vector.

public static Vector<T> MultiplyInto<T>(
	LinearOperator<T> left,
	Vector<T> right,
	Vector<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	left As LinearOperator(Of T),
	right As Vector(Of T),
	result As Vector(Of T)
) As Vector(Of T)

C++/CLI

public:
generic<typename T>
static Vector<T>^ MultiplyInto(
	LinearOperator<T>^ left, 
	Vector<T>^ right, 
	Vector<T>^ result
)

static member MultiplyInto : 
        left : LinearOperator<'T> * 
        right : Vector<'T> * 
        result : Vector<'T> -> Vector<'T>

Parameters

left LinearOperator<T>: The left operand.
right Vector<T>: The right operand.
result Vector<T>: The vector that is to hold the result. May be null.

Type Parameters

T

Return Value

Vector<T>
The product of leftwith the vector right.

MultiplyInto<T>(Matrix<T>, T, Matrix<T>)

Multiplies a matrix by a scalar.

public static Matrix<T> MultiplyInto<T>(
	Matrix<T> matrix,
	T factor,
	Matrix<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	matrix As Matrix(Of T),
	factor As T,
	result As Matrix(Of T)
) As Matrix(Of T)

C++/CLI

public:
generic<typename T>
static Matrix<T>^ MultiplyInto(
	Matrix<T>^ matrix, 
	T factor, 
	Matrix<T>^ result
)

static member MultiplyInto : 
        matrix : Matrix<'T> * 
        factor : 'T * 
        result : Matrix<'T> -> Matrix<'T>

Parameters

matrix Matrix<T>: A matrix.
factor T: A number.
result Matrix<T>: The matrix that is to hold the result. May be null.

Type Parameters

T

Return Value

Matrix<T>
A matrix whose elements are the corresponding elements of matrix multiplied by factor.

Exceptions

ArgumentNullException

matrix is null

MultiplyInto<T>(Matrix<T>, Vector<T>, Vector<T>)

Multiplies a vector by a matrix.

public static Vector<T> MultiplyInto<T>(
	Matrix<T> matrix,
	Vector<T> vector,
	Vector<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	matrix As Matrix(Of T),
	vector As Vector(Of T),
	result As Vector(Of T)
) As Vector(Of T)

C++/CLI

public:
generic<typename T>
static Vector<T>^ MultiplyInto(
	Matrix<T>^ matrix, 
	Vector<T>^ vector, 
	Vector<T>^ result
)

static member MultiplyInto : 
        matrix : Matrix<'T> * 
        vector : Vector<'T> * 
        result : Vector<'T> -> Vector<'T>

Parameters

matrix Matrix<T>: A matrix.
vector Vector<T>: A vector.
result Vector<T>: The vector that is to hold the result. May be null.

Type Parameters

T

Return Value

Vector<T>

Exceptions

ArgumentNullException

matrix is null

-or-

vector is null

MultiplyInto<T>(T, Matrix<T>, Matrix<T>)

Multiplies a matrix by a scalar.

public static Matrix<T> MultiplyInto<T>(
	T factor,
	Matrix<T> matrix,
	Matrix<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	factor As T,
	matrix As Matrix(Of T),
	result As Matrix(Of T)
) As Matrix(Of T)

C++/CLI

public:
generic<typename T>
static Matrix<T>^ MultiplyInto(
	T factor, 
	Matrix<T>^ matrix, 
	Matrix<T>^ result
)

static member MultiplyInto : 
        factor : 'T * 
        matrix : Matrix<'T> * 
        result : Matrix<'T> -> Matrix<'T>

Parameters

factor T: A number.
matrix Matrix<T>: A matrix.
result Matrix<T>: The matrix that is to hold the result. May be null.

Type Parameters

T

Return Value

Matrix<T>
A matrix whose elements are the corresponding elements of matrix multiplied by factor.

Exceptions

ArgumentNullException

matrix is null

MultiplyInto<T>(LinearOperator<T>, TransposeOperation, Matrix<T>, Matrix<T>)

Multiplies a possibly transposed matrix and a matrix.

public static Matrix<T> MultiplyInto<T>(
	LinearOperator<T> left,
	TransposeOperation transpose,
	Matrix<T> right,
	Matrix<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	left As LinearOperator(Of T),
	transpose As TransposeOperation,
	right As Matrix(Of T),
	result As Matrix(Of T)
) As Matrix(Of T)

C++/CLI

public:
generic<typename T>
static Matrix<T>^ MultiplyInto(
	LinearOperator<T>^ left, 
	TransposeOperation transpose, 
	Matrix<T>^ right, 
	Matrix<T>^ result
)

static member MultiplyInto : 
        left : LinearOperator<'T> * 
        transpose : TransposeOperation * 
        right : Matrix<'T> * 
        result : Matrix<'T> -> Matrix<'T>

Parameters

left LinearOperator<T>: The left operand.
transpose TransposeOperation: The operation to be performed on the matrix left before multiplying.
right Matrix<T>: The right operand.
result Matrix<T>: The matrix that is to hold the result. May be null.

Type Parameters

T

Return Value

Matrix<T>
The product of left, transformed as specified by transpose, with the matrix right.

MultiplyInto<T>(LinearOperator<T>, TransposeOperation, Vector<T>, Vector<T>)

Multiplies a possibly transposed matrix and a vector.

public static Vector<T> MultiplyInto<T>(
	LinearOperator<T> left,
	TransposeOperation transpose,
	Vector<T> right,
	Vector<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	left As LinearOperator(Of T),
	transpose As TransposeOperation,
	right As Vector(Of T),
	result As Vector(Of T)
) As Vector(Of T)

C++/CLI

public:
generic<typename T>
static Vector<T>^ MultiplyInto(
	LinearOperator<T>^ left, 
	TransposeOperation transpose, 
	Vector<T>^ right, 
	Vector<T>^ result
)

static member MultiplyInto : 
        left : LinearOperator<'T> * 
        transpose : TransposeOperation * 
        right : Vector<'T> * 
        result : Vector<'T> -> Vector<'T>

Parameters

left LinearOperator<T>: The left operand.
transpose TransposeOperation: The operation to be performed on the matrix left before multiplying.
right Vector<T>: The right operand.
result Vector<T>: The vector that is to hold the result. May be null.

Type Parameters

T

Return Value

Vector<T>
The product of left, transformed as specified by transpose, with the vector right.

MultiplyInto<T>(Matrix<T>, TransposeOperation, Vector<T>, Vector<T>)

Multiplies a vector by a matrix.

public static Vector<T> MultiplyInto<T>(
	Matrix<T> matrix,
	TransposeOperation operation,
	Vector<T> vector,
	Vector<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	matrix As Matrix(Of T),
	operation As TransposeOperation,
	vector As Vector(Of T),
	result As Vector(Of T)
) As Vector(Of T)

C++/CLI

public:
generic<typename T>
static Vector<T>^ MultiplyInto(
	Matrix<T>^ matrix, 
	TransposeOperation operation, 
	Vector<T>^ vector, 
	Vector<T>^ result
)

static member MultiplyInto : 
        matrix : Matrix<'T> * 
        operation : TransposeOperation * 
        vector : Vector<'T> * 
        result : Vector<'T> -> Vector<'T>

Parameters

matrix Matrix<T>: A matrix.
operation TransposeOperation: The operation to apply to matrix before multiplying.
vector Vector<T>: A vector.
result Vector<T>: The vector that is to hold the result. May be null.

Type Parameters

T

Return Value

Vector<T>

Exceptions

ArgumentNullException

matrix is null

-or-

vector is null

MultiplyInto<T>(Matrix<T>, TransposeOperation, Matrix<T>, TransposeOperation, Matrix<T>)

Multiplies one matrix by another matrix and returns the result.

public static Matrix<T> MultiplyInto<T>(
	Matrix<T> left,
	TransposeOperation leftOperation,
	Matrix<T> right,
	TransposeOperation rightOperation,
	Matrix<T> result
)

Visual Basic

Public Shared Function MultiplyInto(Of T) ( 
	left As Matrix(Of T),
	leftOperation As TransposeOperation,
	right As Matrix(Of T),
	rightOperation As TransposeOperation,
	result As Matrix(Of T)
) As Matrix(Of T)

C++/CLI

public:
generic<typename T>
static Matrix<T>^ MultiplyInto(
	Matrix<T>^ left, 
	TransposeOperation leftOperation, 
	Matrix<T>^ right, 
	TransposeOperation rightOperation, 
	Matrix<T>^ result
)

static member MultiplyInto : 
        left : Matrix<'T> * 
        leftOperation : TransposeOperation * 
        right : Matrix<'T> * 
        rightOperation : TransposeOperation * 
        result : Matrix<'T> -> Matrix<'T>

Parameters

left Matrix<T>: The left operand of the multiplication.
leftOperation TransposeOperation: A TransposeOperation value that indicates which operation, if any, should be performed on this instance before multiplying.
right Matrix<T>: The right operand of the multiplication.
rightOperation TransposeOperation: A TransposeOperation value that indicates which operation, if any, should be performed on the matrix right before multiplying.
result Matrix<T>: The matrix that is to hold the result. May be null.

Type Parameters

T

Return Value

Matrix<T>
A matrix that is the product of the matrix left, transformed as specified by leftOperation, with the matrix right, transformed as specified by rightOperation.

Remarks

This method calculates the matrix product of two matrices. The exact form of the operation is determined by the other parameters. The dimensions of the two matrices must be compatible with this form.

Exceptions

ArgumentNullException

left is null.

-or-

right is null.

Matrix.MultiplyInto Method

Definition

Overload List

MultiplyInto<T>(LinearOperator<T>, Matrix<T>, Matrix<T>)

Parameters

Type Parameters

Return Value

MultiplyInto<T>(LinearOperator<T>, Vector<T>, Vector<T>)

Parameters

Type Parameters

Return Value

MultiplyInto<T>(Matrix<T>, T, Matrix<T>)

Parameters

Type Parameters

Return Value

Exceptions

MultiplyInto<T>(Matrix<T>, Vector<T>, Vector<T>)

Parameters

Type Parameters

Return Value

Exceptions

MultiplyInto<T>(T, Matrix<T>, Matrix<T>)

Parameters

Type Parameters

Return Value

Exceptions

MultiplyInto<T>(LinearOperator<T>, TransposeOperation, Matrix<T>, Matrix<T>)

Parameters

Type Parameters

Return Value

MultiplyInto<T>(LinearOperator<T>, TransposeOperation, Vector<T>, Vector<T>)

Parameters

Type Parameters

Return Value

MultiplyInto<T>(Matrix<T>, TransposeOperation, Vector<T>, Vector<T>)

Parameters

Type Parameters

Return Value

Exceptions

MultiplyInto<T>(Matrix<T>, TransposeOperation, Matrix<T>, TransposeOperation, Matrix<T>)

Parameters

Type Parameters

Return Value

Remarks

Exceptions

See Also

Reference