LQDecomposition<T>.ApplyQ Method

Definition

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

Overload List

ApplyQ(DenseMatrix<T>)	Multiplies a matrix in place by the orthogonal matrix Q of this LQDecomposition<T>. Obsolete.
ApplyQ(DenseVector<T>)	Multiplies a vector in place by the orthogonal factor Q of this LQDecomposition<T>. Obsolete.
ApplyQ(TransposeOperation, DenseMatrix<T>)	Multiplies a matrix in place by the orthogonal matrix Q of this LQDecomposition<T>, or its transpose. Obsolete.
ApplyQ(TransposeOperation, DenseVector<T>)	Multiplies a vector in place by the orthogonal factor Q of this LQDecomposition<T>, or its transpose. Obsolete.
ApplyQ(MatrixOperationSide, TransposeOperation, DenseMatrix<T>)	Multiplies a matrix in place by the orthogonal matrix Q of this LQDecomposition<T>, or its transpose. Obsolete.

ApplyQ(DenseMatrix<T>)

Note: This API is now obsolete.

Multiplies a matrix in place by the orthogonal matrix Q of this LQDecomposition<T>.

[ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
public DenseMatrix<T> ApplyQ(
	DenseMatrix<T> matrix
)

Visual Basic

<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>
Public Function ApplyQ ( 
	matrix As DenseMatrix(Of T)
) As DenseMatrix(Of T)

C++/CLI

public:
[ObsoleteAttribute(L"Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
DenseMatrix<T>^ ApplyQ(
	DenseMatrix<T>^ matrix
)

[<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>]
member ApplyQ : 
        matrix : DenseMatrix<'T> -> DenseMatrix<'T>

Parameters

matrix DenseMatrix<T>: A DenseMatrix<T> with the same number of rows as Q.

Return Value

DenseMatrix<T>
A reference to the transformed matrix.

Remarks

The multiplication is performed implicitly.

The matrix matrix is overwritten with the result.

Exceptions

ArgumentNullException

matrix is null.

ApplyQ(DenseVector<T>)

Note: This API is now obsolete.

Multiplies a vector in place by the orthogonal factor Q of this LQDecomposition<T>.

[ObsoleteAttribute("Use the Multiply method of the OrthogonalFactor property instead.")]
public DenseVector<T> ApplyQ(
	DenseVector<T> vector
)

Visual Basic

<ObsoleteAttribute("Use the Multiply method of the OrthogonalFactor property instead.")>
Public Function ApplyQ ( 
	vector As DenseVector(Of T)
) As DenseVector(Of T)

C++/CLI

public:
[ObsoleteAttribute(L"Use the Multiply method of the OrthogonalFactor property instead.")]
DenseVector<T>^ ApplyQ(
	DenseVector<T>^ vector
)

[<ObsoleteAttribute("Use the Multiply method of the OrthogonalFactor property instead.")>]
member ApplyQ : 
        vector : DenseVector<'T> -> DenseVector<'T>

Parameters

vector DenseVector<T>: A DenseVector<T> with the same number of rows as Q.

Return Value

DenseVector<T>
A reference to the transformed vector.

Remarks

The multiplication is performed implicitly.

Exceptions

ArgumentNullException	vector is null.
DimensionMismatchException	The length of vector does not equal the number of rows of the matrix.

ApplyQ(TransposeOperation, DenseMatrix<T>)

Note: This API is now obsolete.

Multiplies a matrix in place by the orthogonal matrix Q of this LQDecomposition<T>, or its transpose.

[ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
public DenseMatrix<T> ApplyQ(
	TransposeOperation operation,
	DenseMatrix<T> matrix
)

Visual Basic

<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>
Public Function ApplyQ ( 
	operation As TransposeOperation,
	matrix As DenseMatrix(Of T)
) As DenseMatrix(Of T)

C++/CLI

public:
[ObsoleteAttribute(L"Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
DenseMatrix<T>^ ApplyQ(
	TransposeOperation operation, 
	DenseMatrix<T>^ matrix
)

[<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>]
member ApplyQ : 
        operation : TransposeOperation * 
        matrix : DenseMatrix<'T> -> DenseMatrix<'T>

Parameters

operation TransposeOperation: A TransposeOperation enumeration value that specifies whether to multiply by the transposed orthogonal matrix.
matrix DenseMatrix<T>: A DenseMatrix<T> with the same number of rows as Q.

Return Value

DenseMatrix<T>
A reference to the transformed matrix.

Remarks

The multiplication is performed implicitly.

The matrix matrix is overwritten with the result.

ApplyQ(TransposeOperation, DenseVector<T>)

Note: This API is now obsolete.

Multiplies a vector in place by the orthogonal factor Q of this LQDecomposition<T>, or its transpose.

[ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
public DenseVector<T> ApplyQ(
	TransposeOperation operation,
	DenseVector<T> vector
)

Visual Basic

<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>
Public Function ApplyQ ( 
	operation As TransposeOperation,
	vector As DenseVector(Of T)
) As DenseVector(Of T)

C++/CLI

public:
[ObsoleteAttribute(L"Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
DenseVector<T>^ ApplyQ(
	TransposeOperation operation, 
	DenseVector<T>^ vector
)

[<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>]
member ApplyQ : 
        operation : TransposeOperation * 
        vector : DenseVector<'T> -> DenseVector<'T>

Parameters

operation TransposeOperation: A TransposeOperation enumeration value that specifies whether to multiply by the transposed orthogonal factor.
vector DenseVector<T>: A DenseVector<T> with the same number of rows as Q.

Return Value

DenseVector<T>
A reference to the transformed vector.

Remarks

The multiplication is performed implicitly.

Exceptions

ArgumentNullException	vector is null.
DimensionMismatchException	The length of vector does not equal the number of rows of the matrix.

ApplyQ(MatrixOperationSide, TransposeOperation, DenseMatrix<T>)

Note: This API is now obsolete.

Multiplies a matrix in place by the orthogonal matrix Q of this LQDecomposition<T>, or its transpose.

[ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
public virtual DenseMatrix<T> ApplyQ(
	MatrixOperationSide side,
	TransposeOperation operation,
	DenseMatrix<T> matrix
)

Visual Basic

<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>
Public Overridable Function ApplyQ ( 
	side As MatrixOperationSide,
	operation As TransposeOperation,
	matrix As DenseMatrix(Of T)
) As DenseMatrix(Of T)

C++/CLI

public:
[ObsoleteAttribute(L"Use the Multiply or Solve methods of the OrthogonalFactor property instead.")]
virtual DenseMatrix<T>^ ApplyQ(
	MatrixOperationSide side, 
	TransposeOperation operation, 
	DenseMatrix<T>^ matrix
)

[<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>]
abstract ApplyQ : 
        side : MatrixOperationSide * 
        operation : TransposeOperation * 
        matrix : DenseMatrix<'T> -> DenseMatrix<'T> 
[<ObsoleteAttribute("Use the Multiply or Solve methods of the OrthogonalFactor property instead.")>]
override ApplyQ : 
        side : MatrixOperationSide * 
        operation : TransposeOperation * 
        matrix : DenseMatrix<'T> -> DenseMatrix<'T>

Parameters

side MatrixOperationSide: A MatrixOperationSide value that specifies whether the matrix Q (or its transpose) should be the left or right operand of the multiplication.
operation TransposeOperation: A TransposeOperation enumeration value that specifies whether to multiply by the original or the transposed orthogonal matrix Q.
matrix DenseMatrix<T>: A DenseMatrix<T> with the same number of rows as Q.

Return Value

DenseMatrix<T>
A reference to the transformed matrix.

Remarks

The multiplication is performed implicitly.

The matrix matrix is overwritten with the result.

Exceptions

ArgumentNullException

matrix is null.

LQDecomposition<T>.ApplyQ Method

Definition

Overload List

ApplyQ(DenseMatrix<T>)

Parameters

Return Value

Remarks

Exceptions

ApplyQ(DenseVector<T>)

Parameters

Return Value

Remarks

Exceptions

ApplyQ(TransposeOperation, DenseMatrix<T>)

Parameters

Return Value

Remarks

ApplyQ(TransposeOperation, DenseVector<T>)

Parameters

Return Value

Remarks

Exceptions

ApplyQ(MatrixOperationSide, TransposeOperation, DenseMatrix<T>)

Parameters

Return Value

Remarks

Exceptions

See Also

Reference