public sealed class SingleSparseLUDecomposition : SingleDecomposition

Public NotInheritable Class SingleSparseLUDecomposition
	Inherits SingleDecomposition

public ref class SingleSparseLUDecomposition sealed : public SingleDecomposition

[<SealedAttribute>]
type SingleSparseLUDecomposition =  
    class
        inherit SingleDecomposition
    end

The SingleSparseLUDecomposition type exposes the following members.

	Name	Description
	SingleSparseLUDecomposition(SingleMatrix)	Constructs a new SingleSparseLUDecomposition object.,
	SingleSparseLUDecomposition(SingleSparseMatrix, Boolean)	Constructs a new SingleSparseLUDecomposition object.

	Name	Description
	BaseMatrix	Gets the underlying matrix of the decomposition. (Inherited from SingleDecomposition.)
	ColumnPermutation	Gets the column permutation of the decomposition.
	LowerTriangularFactor	Returns the lower SingleTriangularMatrix component of this SingleSparseLUDecomposition.
	Overwrite	Gets or sets a value indicating whether the BaseMatrix should be overwritten by its decomposition. (Inherited from SingleDecomposition.)
	RowPermutation	Gets the row permutation of the decomposition.
	UpperTriangularFactor	Gets the upper SingleTriangularMatrix component of this SingleSparseLUDecomposition.

	Name	Description
	ApplyP(SingleMatrix)	Applies the permutation P of the decomposition PA= LU to a SingleMatrix and returns the result as a SingleDenseMatrix.
	ApplyP(SingleVector)	Applies the permutation P of the decomposition PA= LU to a vector.
	ApplyP(SingleMatrix, Boolean)	Applies the permutation P of the decomposition PA= LU to a SingleDenseMatrix.
	ApplyP(SingleVector, Boolean)	Applies the permutation P of the decomposition PA= LU to a vector.
	ApplyP(SingleMatrix, TransposeOperation, Boolean)	Applies the permutation P of the decomposition PA= LU to a SingleDenseMatrix.
	ApplyP(SingleVector, TransposeOperation, Boolean)	Applies the permutation P of the decomposition PA= LU to a vector.
	Decompose	Performs the actual LU decomposition. (Overrides SingleDecompositionDecompose.)
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	EstimateConditionNumber	Calculates an estimate for the condition number of the matrix underlying this system of equations. (Overrides SingleLinearTransformationEstimateConditionNumber.)
	GetDeterminant	Calculates the determinant of the decomposed SingleMatrix. (Overrides SingleLinearTransformationGetDeterminant.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetInverse	Calculates the inverse of the factorized SingleMatrix. (Overrides SingleLinearTransformationGetInverse.)
	GetObjectData	Populates a SerializationInfo with the data needed to serialize the target object. (Inherited from SingleLinearTransformation.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IsSingular	Gets a value indicating whether the BaseMatrix of this decomposition is singular. (Inherited from SingleDecomposition.)
	Rank	Returns the numerical rank of a matrix. (Inherited from SingleLinearTransformation.)
	Rank(Single)	Returns the numerical rank of a matrix using the specified tolerance. (Overrides SingleLinearTransformationRank(Single).)
	Solve(SingleMatrix)	Solves the system of linear equations for the specified right-hand side SingleMatrix. (Inherited from SingleLinearTransformation.)
	Solve(SingleVector)	Solves the system of linear equations for the specified right-hand side SingleVector. (Inherited from SingleLinearTransformation.)
	Solve(SingleDenseMatrix, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side SingleDenseMatrix and optionally overwrites the right-hand side with the solution. (Overrides SingleLinearTransformationSolve(SingleDenseMatrix, Boolean).)
	Solve(SingleDenseVector, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side SingleVector. (Overrides SingleLinearTransformationSolve(SingleDenseVector, Boolean).)
	SolveTranspose(SingleMatrix)	Solves the transposed system of linear equations for the specified right-hand side SingleMatrix. (Inherited from SingleLinearTransformation.)
	SolveTranspose(SingleVector)	Solves the system of linear equations for the specified right-hand side SingleVector. (Inherited from SingleLinearTransformation.)
	SolveTranspose(SingleDenseMatrix, Boolean)	Solves the transposed system of linear equations for the specified right-hand side SingleDenseMatrix and optionally overwrites the right-hand side with the solution. (Overrides SingleLinearTransformationSolveTranspose(SingleDenseMatrix, Boolean).)
	SolveTranspose(SingleDenseVector, Boolean)	Solves the transposed system of linear equations for the specified right-hand side DenseVector and optionally overwrites the right-hand side with the solution. (Overrides SingleLinearTransformationSolveTranspose(SingleDenseVector, Boolean).)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

SingleSparseLUDecomposition can operate in two modes. In overwrite mode, the original matrix is overwritten by the decomposition. In preserve mode, the original matrix is preserved, and a new matrix is created to hold the decomposition. You can set the mode through the Overwrite property.

SingleSparseLUDecomposition inherits from SingleLinearTransformation. This means you can use it to solve systems of linear equations. You can solve for a single right-hand side, or for multiple right-hand sides using the Solve(SingleDenseVector, Boolean) method. You can also calculate the determinant, the inverse, and an estimate for the EstimateConditionNumber.

Numerical Libraries

Reference