MlkBiCgStab Class

A Multiple-Lanczos Bi-Conjugate Gradient stabilized iterative matrix solver.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.LinearAlgebra.Double.SolversMlkBiCgStab

Namespace: Altaxo.Calc.LinearAlgebra.Double.Solvers
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)

Syntax

Copy

public sealed class MlkBiCgStab : IIterativeSolver<double>

The MlkBiCgStab type exposes the following members.

Constructors

	Name	Description
	MlkBiCgStab	Initializes a new instance of the MlkBiCgStab class

Top

Properties

	Name	Description
	NumberOfStartingVectors	Gets or sets the number of starting vectors.
	StartingVectors	Gets or sets a series of orthonormal vectors which will be used as basis for the Krylov sub-space.

Top

Methods

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	ResetNumberOfStartingVectors	Resets the number of starting vectors to the default value.
	Solve	Solves the matrix equation Ax = b, where A is the coefficient matrix, b is the solution vector and x is the unknown vector.
	ToString	Returns a string that represents the current object. (Inherited from Object)

Top

Remarks

The Multiple-Lanczos Bi-Conjugate Gradient stabilized (ML(k)-BiCGStab) solver is an 'improvement' of the standard BiCgStab solver.

The algorithm was taken from:
ML(k)BiCGSTAB: A BiCGSTAB variant based on multiple Lanczos starting vectors
Man-Chung Yeung and Tony F. Chan
SIAM Journal of Scientific Computing
Volume 21, Number 4, pp. 1263 - 1290

The example code below provides an indication of the possible use of the solver.

Reference

Altaxo.Calc.LinearAlgebra.Double.Solvers Namespace