MatrixD.SolveLinearEquations Method (MatrixD, VectorD)

MatrixDSolveLinearEquations Method (MatrixD, VectorD)

Solves the linear set of equations A * x = b.

Namespace: DigitalRune.Mathematics.Algebra
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)

Syntax

C++

Copy

public static VectorD SolveLinearEquations(
	MatrixD matrixA,
	VectorD vectorB
)

Public Shared Function SolveLinearEquations ( 
	matrixA As MatrixD,
	vectorB As VectorD
) As VectorD

public:
static VectorD^ SolveLinearEquations(
	MatrixD^ matrixA, 
	VectorD^ vectorB
)

static member SolveLinearEquations : 
        matrixA : MatrixD * 
        vectorB : VectorD -> VectorD

Parameters

matrixA: Type: DigitalRune.Mathematics.AlgebraMatrixD
The matrix A. (Can be rectangular. Number of rows ≥ number of columns.)
vectorB: Type: DigitalRune.Mathematics.AlgebraVectorD
The column vector b with as many rows as A.

Return Value

Type: VectorD
The vector x.

Exceptions

Exception	Condition
ArgumentNullException	vectorB is .
ArgumentException	The number of rows does not match.
ArgumentException	The number of rows in matrix A must be greater than or equal to the number of columns.
MathematicsException	The matrix A does not have full rank.

Remarks

If A is a square matrix, the x contains the solutions. If A is not a square matrix, the least squares solutions is returned.

Reference

MatrixD Class

SolveLinearEquations Overload

DigitalRune.Mathematics.Algebra Namespace