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QRDecompositionSolve Method (DenseMatrix, Boolean)Extreme Optimization Numerical Libraries for .NET Professional
Solves the system of simultaneous linear equations for the specified right-hand side dense matrix and overwrites the right-hand side with the solution.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax

C#
VB
C++
F#
Copy
public override DenseMatrix Solve(
	DenseMatrix rightHandSide,
	bool overwrite
)
Public Overrides Function Solve ( 
	rightHandSide As DenseMatrix,
	overwrite As Boolean
) As DenseMatrix
public:
virtual DenseMatrix^ Solve(
	DenseMatrix^ rightHandSide, 
	bool overwrite
) override
abstract Solve : 
        rightHandSide : DenseMatrix * 
        overwrite : bool -> DenseMatrix 
override Solve : 
        rightHandSide : DenseMatrix * 
        overwrite : bool -> DenseMatrix 

Parameters

rightHandSide
Type: Extreme.Mathematics.LinearAlgebraDenseMatrix
A DenseMatrix.
overwrite
Type: SystemBoolean
If , a new DenseMatrix instance containing the solution to the system of equations is returned. (This is the default.) If , the matrix rightHandSide is overwritten by the solution.

Return Value

Type: DenseMatrix
A DenseMatrix containing the solution of the system of simultaneous linear equations.
Exceptions

ExceptionCondition
ArgumentNullExceptionrightHandSide is .
DimensionMismatchExceptionThe number of rows in rightHandSide does not equal the number of rows in the matrix.

-or-

The matrix is not square.

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

The number of rows in rightHandSide must equal the number of rows in the Matrix.

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

Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

QRDecomposition Class
Solve Overload
Extreme.Mathematics.LinearAlgebra Namespace
Extreme.Mathematics.LinearAlgebraLinearOperator

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