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Extreme Optimization Mathematics Library for .NET

LUDecomposition.Solve Method (GeneralVector, Boolean)

Solves the system of simultaneous linear equations for the specified right-hand side Vector.

[Visual Basic]
Overrides Overloads Public Function Solve( _
   ByVal rightHandSide As GeneralVector, _
   ByVal overwrite As Boolean _
) As GeneralVector
[C#]
public override GeneralVector Solve(
   GeneralVector rightHandSide,
   bool overwrite
);

Parameters

rightHandSide
A Vector.
overwrite
If false, a new Vector instance containing the solution to the system of equations is returned. If false, the vector rightHandSide is overwritten by the solution.

Return Value

A GeneralVector containing the solution of the system of simultaneous linear equations.

Remarks

The length of rightHandSide must equal the number of rows in the GeneralMatrix underlying the system.

If the matrix is singular, a solution may not exist. In this case, a MatrixSingularException is thrown.

Exceptions

Exception TypeCondition
ArgumentNullExceptionrightHandSide is a null reference (Nothing in Visual Basic).
DimensionMismatchExceptionThe length of rightHandSide does not equal the number of rows in the matrix underlying this system of equations.

-or-

The matrix is not square.

MatrixSingularExceptionThe matrix underlying the system of simultaneous linear equations is singular. A solution could not be found.

See Also

LUDecomposition Class | Extreme.Mathematics.LinearAlgebra Namespace | LUDecomposition.Solve Overload List | LinearTransformation