MatrixD.SolveLinearEquations Method (MatrixD, MatrixD)

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 MatrixD SolveLinearEquations(
	MatrixD matrixA,
	MatrixD matrixB
)

Public Shared Function SolveLinearEquations ( 
	matrixA As MatrixD,
	matrixB As MatrixD
) As MatrixD

public:
static MatrixD^ SolveLinearEquations(
	MatrixD^ matrixA, 
	MatrixD^ matrixB
)

static member SolveLinearEquations : 
        matrixA : MatrixD * 
        matrixB : MatrixD -> MatrixD

Parameters

matrixA: Type: DigitalRune.Mathematics.Algebra.MatrixD
The matrix A. (Can be rectangular. Number of rows ≥ number of columns.)
matrixB: Type: DigitalRune.Mathematics.Algebra.MatrixD
The matrix B with the same number of rows as A and any number of columns.

Return Value

Type: MatrixD
The matrix X.

Exceptions

Exception	Condition
ArgumentNullException	matrixA or matrixB is null.
ArgumentException	The number of rows does not match.
ArgumentException	The number of rows in matrixA 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