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  • Extreme.Mathematics.LinearAlgebra.Complex
    • ComplexBandVector Class
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    • Solve Method (ComplexDenseMatrix, Boolean)
    • Solve Method (ComplexDenseVector, Boolean)
  • Solve Method (ComplexDenseVector, Boolean)
ComplexCholeskyDecompositionSolve Method (ComplexDenseVector, Boolean)Extreme Optimization Numerical Libraries for .NET Professional
Solves the system of simultaneous linear equations for the specified right-hand side ComplexDenseVector and optionally overwrites the right-hand side with the solution.

Namespace: Extreme.Mathematics.LinearAlgebra.Complex
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.17114.0)
Syntax

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

Parameters

rightHandSide
Type: Extreme.Mathematics.LinearAlgebra.ComplexComplexDenseVector
A ComplexVector.
overwrite
Type: SystemBoolean
If , a new ComplexVector instance containing the solution to the system of equations is returned. If , the vector rightHandSide is overwritten by the solution.

Return Value

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

ExceptionCondition
ArgumentNullExceptionrightHandSide is .
DimensionMismatchExceptionThe length of rightHandSide does not equal the number of rows in the matrix.
MatrixSingularExceptionThe matrix is singular. A solution could not be found.
Remarks

The number of elements in rightHandSide must equal the number of rows in the ComplexHermitianMatrix.

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

This method uses the LAPACK routine DPOTRS.

Version Information

Numerical Libraries

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

Reference

ComplexCholeskyDecomposition Class
Solve Overload
Extreme.Mathematics.LinearAlgebra.Complex Namespace
Extreme.Mathematics.LinearAlgebraLinearOperator

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