Click or drag to resize
DigitalRuneGaussSeidelMethodF Class
An iterative solver using the Gauss-Seidel method (single-precision).
Inheritance Hierarchy

Namespace: DigitalRune.Mathematics.Algebra
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)
Syntax
public class GaussSeidelMethodF : IterativeLinearSystemSolverF

The GaussSeidelMethodF type exposes the following members.

Constructors
  NameDescription
Public methodGaussSeidelMethodF
Initializes a new instance of the GaussSeidelMethodF class
Top
Methods
  NameDescription
Public methodEquals
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
Protected methodFinalize
Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object.)
Public methodGetHashCode
Serves as a hash function for a particular type.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Protected methodMemberwiseClone
Creates a shallow copy of the current Object.
(Inherited from Object.)
Public methodSolve(MatrixF, VectorF)
Solves the specified linear system of equations A * x = b.
(Inherited from IterativeLinearSystemSolverF.)
Public methodSolve(MatrixF, VectorF, VectorF)
Solves the specified linear system of equations Ax=b.
(Overrides IterativeLinearSystemSolverFSolve(MatrixF, VectorF, VectorF).)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
Top
Properties
  NameDescription
Public propertyEpsilon
Gets or sets the tolerance value.
(Inherited from IterativeLinearSystemSolverF.)
Public propertyMaxNumberOfIterations
Gets or sets the maximum number number of iterations.
(Inherited from IterativeLinearSystemSolverF.)
Public propertyNumberOfIterations
Gets or sets the number of iterations of the last Solve(MatrixF, VectorF) method call.
(Inherited from IterativeLinearSystemSolverF.)
Top
Remarks

The method will always converge if the matrix A is strictly or irreducibly diagonally dominant. Strict row diagonal dominance means that for each row, the absolute value of the diagonal term is greater than the sum of absolute values of other terms.

See http://en.wikipedia.org/wiki/Gauss%E2%80%93Seidel_method for an introduction to this method and for an explanation of the convergence criterion.

See Also