Incomplete LUPreconditioner<T> Class
Represents a preconditioner that uses an incomplete LU decomposition with no fill-in.
Definition
Namespace: Numerics.NET.LinearAlgebra.IterativeSolvers.Preconditioners
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4
C#
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4
public class IncompleteLUPreconditioner<T> : Preconditioner<T>
- Inheritance
- Object → LinearOperator<T> → Preconditioner<T> → IncompleteLUPreconditioner<T>
Type Parameters
- T
Remarks
Use the IncompleteLUPreconditioner<T> class to improve converge when using an IterativeSparseSolver<T> to solve a large, sparse system of linear equations. This preconditioner uses an incomplete LU decomposition with no fill-in, also known as ILU(0).
Constructors
Incomplete | Constructs a new IncompleteLUPreconditioner<T>. |
Properties
Column |
Gets the number of columns in the matrix.
(Inherited from LinearOperator<T>) |
Column |
Gets or sets the index of labels for the columns of the matrix.
(Inherited from LinearOperator<T>) Preliminary |
Element |
Gets the element type of the matrix.
(Inherited from LinearOperator<T>) |
Linear |
Gets the linear operator to which the Preconditioner<T> applies.
(Inherited from Preconditioner<T>) |
Row |
Gets the number of rows in the matrix.
(Inherited from LinearOperator<T>) |
Row |
Gets or sets the index of labels for the rows of the matrix.
(Inherited from LinearOperator<T>) Preliminary |
Methods
Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
Estimate |
Calculates an estimate for the condition number of a matrix.
(Inherited from LinearOperator<T>) |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
Get |
Calculates the determinant of a matrix.
(Inherited from LinearOperator<T>) |
Get | Serves as the default hash function. (Inherited from Object) |
Get |
Calculates the inverse matrix..
(Inherited from LinearOperator<T>) |
Get |
Calculates the inverse of the factorized
matrix.
(Inherited from LinearOperator<T>) |
Get |
Populates a SerializationInfo with the data
needed to serialize the target object.
(Inherited from LinearOperator<T>) Obsolete. |
Get | Gets the Type of the current instance. (Inherited from Object) |
IsSingular |
Gets whether the matrix
is singular.
(Inherited from LinearOperator<T>) |
Least |
Solves the system of linear equations for the specified
right-hand side matrix in the least squares sense.
(Inherited from LinearOperator<T>) |
Least |
Solves the system of linear equations for the specified
right-hand side vector.
(Inherited from LinearOperator<T>) |
Least |
Solves the system of linear equations for the specified
right-hand side dense matrix in the least squares sense and optionally overwrites the
right-hand side with the solution.
(Inherited from LinearOperator<T>) |
Least |
Solves the system of linear equations for the specified
right-hand side dense vector in the least squares sense and optionally
overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>) |
Least |
Solves a system of equations defined by the matrix and multiple right-hand sides in the least squares sense.
(Inherited from LinearOperator<T>) |
Least |
Solves a system of equations defined by the matrix and the specified right-hand side in the least squares sense.
(Inherited from Preconditioner<T>) |
Memberwise | Creates a shallow copy of the current Object. (Inherited from Object) |
Multiply( | Applies the linear operator to a matrix. (Inherited from LinearOperator<T>) |
Multiply( | Applies the linear operator to a vector. (Inherited from LinearOperator<T>) |
Multiply |
Multiplies the matrix with a vector, adds the scaled result to another scaled
vector, and returns the result.
(Inherited from Preconditioner<T>) |
Multiply |
Multiplies a vector by the linear operator and returns the result.
(Inherited from Preconditioner<T>) |
Multiply |
Multiplies a matrix by the linear operator and returns the result.
(Inherited from LinearOperator<T>) |
Multiply | Applies the transpose of the linear operator to a matrix. (Inherited from LinearOperator<T>) |
Multiply | Applies the (conjugate) transpose of the linear operator to a vector. (Inherited from LinearOperator<T>) |
Rank() |
Returns the numerical rank of a matrix.
(Inherited from LinearOperator<T>) |
Rank( |
Returns the numerical rank of a matrix using the specified tolerance.
(Inherited from Preconditioner<T>) |
Solve( |
Solves the system of linear equations for the specified
right-hand side matrix.
(Inherited from LinearOperator<T>) |
Solve( |
Solves the system of linear equations for the specified
right-hand side vector.
(Inherited from LinearOperator<T>) |
Solve( |
Solves the system of linear equations for the specified
right-hand side dense matrix and optionally overwrites the
right-hand side with the solution.
(Inherited from LinearOperator<T>) |
Solve( |
Solves the system of linear equations for the specified
right-hand side dense vector and optionally
overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and the specified right-hand side.
(Overrides Preconditioner<T>.SolveInto(TransposeOperation, Vector<T>, Vector<T>)) |
Solve |
Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>) |
Solve |
Solves the transposed system of linear equations for the specified
right-hand side matrix.
(Inherited from LinearOperator<T>) |
Solve |
Solves the system of linear equations for the specified
right-hand side vector.
(Inherited from LinearOperator<T>) |
Solve |
Solves the transposed system of linear equations for the specified
right-hand side dense matrix and optionally overwrites the
right-hand side with the solution.
(Inherited from LinearOperator<T>) |
Solve |
Solves the transposed system of linear equations for the specified
right-hand side dense vector and optionally
overwrites the right-hand side with the solution.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and multiple right-hand sides.
(Inherited from LinearOperator<T>) |
Solve |
Solves a system of equations defined by the matrix and the specified right-hand side.
(Inherited from LinearOperator<T>) |
ToString | Returns a string that represents the current object. (Inherited from Object) |