BiConjugateGradientSolver Class

Members See Also

Represents a sparse linear solver that uses the bi-conjugate gradient algorithm.

Namespace: Extreme.Mathematics.LinearAlgebra.IterativeSolvers
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
public class BiConjugateGradientSolver : IterativeSparseSolver

Visual Basic (Declaration)
Public Class BiConjugateGradientSolver _ Inherits IterativeSparseSolver

Visual C++
public ref class BiConjugateGradientSolver : public IterativeSparseSolver

F#
type BiConjugateGradientSolver = class inherit IterativeSparseSolver end

Remarks

Use the BiConjugateGradientSolver class to solve large, non-symmetric sparse systems of equations using the Bi-Conjugate Gradient (BiCG) method. For symmetric systems, the method is twice as slow as the Conjugate Graident method (see the ConjugateGradientSolver class).

To solve a system of equations using this class, construct a new instance, passing the matrix of the system to the constructor. You can optionally set a preconditioner by setting the Preconditioner property. By default, a JacobiPreconditioner is used. Finally, the Solve(Vector) method solves the system.

Once the algorithm finished, the Status property indicates whether the algorithm completed successfully.

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.Algorithms..::..ManagedIterativeAlgorithm<(Of <(<'DenseVector>)>)>
    Extreme.Mathematics.LinearAlgebra.IterativeSolvers..::..IterativeSparseSolver
      Extreme.Mathematics.LinearAlgebra.IterativeSolvers..::..BiConjugateGradientSolver