Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public Class BandLUDecomposition _ Inherits Decomposition |
| C# |
|---|
public class BandLUDecomposition : Decomposition |
| C++ |
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public ref class BandLUDecomposition : public Decomposition |
Methods
| Icon | Type | Description |
|---|---|---|
 | ApplyP(Vector) |
Applies the permutation P of the decomposition
PA= LU to a Vector.
|
| ApplyP(Vector, Boolean) |
Applies the permutation P of the decomposition
PA= LU to a Vector.
|
| ApplyP(Matrix) |
Applies the permutation P of the decomposition
PA= LU to a Matrix
and returns the result as a GeneralMatrix.
|
| ApplyP(GeneralMatrix, Boolean) |
Applies the permutation P of the decomposition
PA= LU to a GeneralMatrix.
|
| Decompose() |
Performs the actual LU decomposition.
|
| Equals(Object) | |
| EstimateConditionNumber() |
Calculates an estimate for the condition
number of the matrix underlying this
system of equations.
|
 | Finalize() | |
| GetDeterminant() |
Calculates the determinant of the decomposed
Matrix.
|
| GetHashCode() | Serves as a hash function for a particular type. |
| GetInverse() |
Calculates the inverse of the factorized
Matrix.
|
| GetObjectData(SerializationInfo, StreamingContext) |
Populates a SerializationInfo with the data
needed to serialize the target object.
|
| GetType() | Gets the Type of the current instance. |
| IsSingular() |
Gets a value indicating whether the BaseMatrix of this decomposition
is singular.
|
| MemberwiseClone() | Creates a shallow copy of the current Object. |
| Rank(Double) |
Returns the numerical rank of a matrix using the specified tolerance.
|
| SetSingularFlag() |
Sets a flag that indicates the underlying matrix of this
decomposition is singular.
|
| Solve(GeneralVector, Boolean) |
Solves the system of simultaneous linear equations for the specified
right-hand side Vector.
|
| Solve(GeneralMatrix, Boolean) |
Solves the system of simultaneous linear equations for the specified
right-hand side GeneralMatrix and optionally
overwrites the right-hand side with the solution.
|
| Solve(Vector) |
Solves the system of linear equations for the specified
right-hand side Vector.
|
| Solve(Matrix) |
Solves the system of linear equations for the specified
right-hand side Matrix.
|
| ToString() |
Constructors
| Icon | Type | Description |
|---|---|---|
| BandLUDecompositionNew(BandMatrix) |
Constructs a new LUDecomposition object.,
|
| BandLUDecompositionNew(BandMatrix, Boolean) |
Constructs a new LUDecomposition object.
|
Properties
| Icon | Type | Description |
|---|---|---|
 | BaseMatrix |
Gets the underlying matrix of the decomposition.
|
| Done |
Gets or sets a value that indicates whether the decomposition
has been performed.
|
| Overwrite |
Gets or sets a value indicating whether the
BaseMatrix should be overwritten by
its decomposition.
|
| UpperTriangularFactor |
Gets the upper TriangularMatrix component
of this LUDecomposition.
|
Remarks
You have a choice whether to preserve the matrix, or allow the BandLUDecomposition to overwrite it. Because the LU decomposition with partial pivoting of a BandMatrix can increase the upper bandwidth, enough space must have been allocated when the BandMatrix 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 LinearTransformation. 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(GeneralVector, Boolean) method. You can also calculate the GetDeterminant(), the GetInverse(), and an estimate for the EstimateConditionNumber().
Inheritance Hierarchy
Extreme.Mathematics.LinearAlgebra.LinearTransformation
Extreme.Mathematics.LinearAlgebra.Decomposition
Extreme.Mathematics.LinearAlgebra.BandLUDecomposition
See Also
