SingleBandLUDecomposition Class

Members See Also

Represents the LU decomposition of a SingleBandMatrix.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.SinglePrecision.Net40 (in Extreme.Numerics.SinglePrecision.Net40.dll) Version: 4.0.10170.0 (4.0.11003.0)

Syntax

C#
public class SingleBandLUDecomposition : SingleDecomposition

Visual Basic (Declaration)
Public Class SingleBandLUDecomposition _ Inherits SingleDecomposition

Visual C++
public ref class SingleBandLUDecomposition : public SingleDecomposition

F#
type SingleBandLUDecomposition = class inherit SingleDecomposition end

Remarks

The LU decomposition of a matrix A rewrites the matrix in the form A= PLU, where P is a permutation matrix, L is a unit lower-triangular matrix, and U is an upper-triangular matrix.

You have a choice whether to preserve the matrix, or allow the SingleBandLUDecomposition to overwrite it. Because the LU decomposition with partial pivoting of a SingleBandMatrix can increase the upper bandwidth, enough space must have been allocated when the SingleBandMatrix was constructed.

Note that, if the matrix should be overwritten, sufficient space must have been allocated to store the upper triangular part.

LUDecomposition 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()()()().

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra..::..SingleLinearTransformation
    Extreme.Mathematics.LinearAlgebra..::..SingleDecomposition
      Extreme.Mathematics.LinearAlgebra..::..SingleBandLUDecomposition