NMath Reference Guide
CenterSpace.NMath.Core
NMathFunctions Class
NMathFunctions Methods
Solve Method
Solve(DoubleBandMatrix, DoubleMatrix) Method
Solve(DoubleBandMatrix, DoubleVector) Method
Solve(DoubleComplexBandMatrix, DoubleComplexMatrix) Method
Solve(DoubleComplexBandMatrix, DoubleComplexVector) Method
Solve(DoubleComplexCsrSparseMatrix, DoubleComplexMatrix) Method
Solve(DoubleComplexCsrSparseMatrix, DoubleComplexVector) Method
Solve(DoubleComplexLowerTriMatrix, DoubleComplexMatrix) Method
Solve(DoubleComplexLowerTriMatrix, DoubleComplexVector) Method
Solve(DoubleComplexMatrix, DoubleComplexMatrix) Method
Solve(DoubleComplexMatrix, DoubleComplexVector) Method
Solve(DoubleComplexTriDiagMatrix, DoubleComplexMatrix) Method
Solve(DoubleComplexTriDiagMatrix, DoubleComplexVector) Method
Solve(DoubleComplexUpperTriMatrix, DoubleComplexMatrix) Method
Solve(DoubleComplexUpperTriMatrix, DoubleComplexVector) Method
Solve(DoubleCsrSparseMatrix, DoubleMatrix) Method
Solve(DoubleCsrSparseMatrix, DoubleVector) Method
Solve(DoubleHermCsrSparseMatrix, DoubleComplexMatrix) Method
Solve(DoubleHermCsrSparseMatrix, DoubleComplexVector) Method
Solve(DoubleHermitianBandMatrix, DoubleComplexMatrix) Method
Solve(DoubleHermitianBandMatrix, DoubleComplexVector) Method
Solve(DoubleHermitianMatrix, DoubleComplexMatrix) Method
Solve(DoubleHermitianMatrix, DoubleComplexVector) Method
Solve(DoubleLowerTriMatrix, DoubleMatrix) Method
Solve(DoubleLowerTriMatrix, DoubleVector) Method
Solve(DoubleMatrix, DoubleMatrix) Method
Solve(DoubleMatrix, DoubleVector) Method
Solve(DoubleSymBandMatrix, DoubleMatrix) Method
Solve(DoubleSymBandMatrix, DoubleVector) Method
Solve(DoubleSymCsrSparseMatrix, DoubleMatrix) Method
Solve(DoubleSymCsrSparseMatrix, DoubleVector) Method
Solve(DoubleSymmetricMatrix, DoubleMatrix) Method
Solve(DoubleSymmetricMatrix, DoubleVector) Method
Solve(DoubleTriDiagMatrix, DoubleMatrix) Method
Solve(DoubleTriDiagMatrix, DoubleVector) Method
Solve(DoubleUpperTriMatrix, DoubleMatrix) Method
Solve(DoubleUpperTriMatrix, DoubleVector) Method
Solve(FloatBandMatrix, FloatMatrix) Method
Solve(FloatBandMatrix, FloatVector) Method
Solve(FloatComplexBandMatrix, FloatComplexMatrix) Method
Solve(FloatComplexBandMatrix, FloatComplexVector) Method
Solve(FloatComplexCsrSparseMatrix, FloatComplexMatrix) Method
Solve(FloatComplexCsrSparseMatrix, FloatComplexVector) Method
Solve(FloatComplexLowerTriMatrix, FloatComplexMatrix) Method
Solve(FloatComplexLowerTriMatrix, FloatComplexVector) Method
Solve(FloatComplexMatrix, FloatComplexMatrix) Method
Solve(FloatComplexMatrix, FloatComplexVector) Method
Solve(FloatComplexTriDiagMatrix, FloatComplexMatrix) Method
Solve(FloatComplexTriDiagMatrix, FloatComplexVector) Method
Solve(FloatComplexUpperTriMatrix, FloatComplexMatrix) Method
Solve(FloatComplexUpperTriMatrix, FloatComplexVector) Method
Solve(FloatCsrSparseMatrix, FloatMatrix) Method
Solve(FloatCsrSparseMatrix, FloatVector) Method
Solve(FloatHermCsrSparseMatrix, FloatComplexMatrix) Method
Solve(FloatHermCsrSparseMatrix, FloatComplexVector) Method
Solve(FloatHermitianBandMatrix, FloatComplexMatrix) Method
Solve(FloatHermitianBandMatrix, FloatComplexVector) Method
Solve(FloatHermitianMatrix, FloatComplexMatrix) Method
Solve(FloatHermitianMatrix, FloatComplexVector) Method
Solve(FloatLowerTriMatrix, FloatMatrix) Method
Solve(FloatLowerTriMatrix, FloatVector) Method
Solve(FloatMatrix, FloatMatrix) Method
Solve(FloatMatrix, FloatVector) Method
Solve(FloatSymBandMatrix, FloatMatrix) Method
Solve(FloatSymBandMatrix, FloatVector) Method
Solve(FloatSymCsrSparseMatrix, FloatMatrix) Method
Solve(FloatSymCsrSparseMatrix, FloatVector) Method
Solve(FloatSymmetricMatrix, FloatMatrix) Method
Solve(FloatSymmetricMatrix, FloatVector) Method
Solve(FloatTriDiagMatrix, FloatMatrix) Method
Solve(FloatTriDiagMatrix, FloatVector) Method
Solve(FloatUpperTriMatrix, FloatMatrix) Method
Solve(FloatUpperTriMatrix, FloatVector) Method
Solve(DoubleComplexTriDiagMatrix, DoubleComplexMatrix, Boolean) Method
Solve(DoubleComplexTriDiagMatrix, DoubleComplexVector, Boolean) Method
Solve(DoubleHermitianBandMatrix, DoubleComplexMatrix, Boolean) Method
Solve(DoubleHermitianBandMatrix, DoubleComplexVector, Boolean) Method
Solve(DoubleHermitianMatrix, DoubleComplexMatrix, Boolean) Method
Solve(DoubleHermitianMatrix, DoubleComplexVector, Boolean) Method
Solve(DoubleSymBandMatrix, DoubleMatrix, Boolean) Method
Solve(DoubleSymBandMatrix, DoubleVector, Boolean) Method
Solve(DoubleSymmetricMatrix, DoubleMatrix, Boolean) Method
Solve(DoubleSymmetricMatrix, DoubleVector, Boolean) Method
Solve(DoubleTriDiagMatrix, DoubleMatrix, Boolean) Method
Solve(DoubleTriDiagMatrix, DoubleVector, Boolean) Method
Solve(FloatComplexTriDiagMatrix, FloatComplexMatrix, Boolean) Method
Solve(FloatComplexTriDiagMatrix, FloatComplexVector, Boolean) Method
Solve(FloatHermitianBandMatrix, FloatComplexMatrix, Boolean) Method
Solve(FloatHermitianBandMatrix, FloatComplexVector, Boolean) Method
Solve(FloatHermitianMatrix, FloatComplexMatrix, Boolean) Method
Solve(FloatHermitianMatrix, FloatComplexVector, Boolean) Method
Solve(FloatSymBandMatrix, FloatMatrix, Boolean) Method
Solve(FloatSymBandMatrix, FloatVector, Boolean) Method
Solve(FloatSymmetricMatrix, FloatMatrix, Boolean) Method
Solve(FloatSymmetricMatrix, FloatVector, Boolean) Method
Solve(FloatTriDiagMatrix, FloatMatrix, Boolean) Method
Solve(FloatTriDiagMatrix, FloatVector, Boolean) Method
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NMathFunctionsSolve(DoubleMatrix, DoubleVector) Method

Computes the solution, x, to the linear system Ax = b.

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
Syntax
Copy
public static DoubleVector Solve(
	DoubleMatrix A,
	DoubleVector b
)

Parameters

A  DoubleMatrix
A matrix of coefficients.
b  DoubleVector
A vector to solve for. Must have the same length as the number of rows of the matrix A.

Return Value

DoubleVector
Vector x that is the solution to Ax = b.
Exceptions
ExceptionCondition
MatrixNotSquareExceptionThrown if the matrix is not square.
SingularMatrixExceptionThrown if the matrix is singular.
MismatchedSizeExceptionThrown if the length of b is different than the number of rows in the matrix A.
Remarks
Note that a DoubleLUFact instance is created with each call. If you are calling Solve() repeatedly (inside a loop, for example), and the coefficient matrix A is not changing between calls, this is more efficient:
Example
DoubleLUFact fact = new DoubleLUFact( A, false ); ... fact.Solve( b );
See Also