MatrixF.SolveLinearEquations Method (MatrixF, MatrixF)

MatrixFSolveLinearEquations Method (MatrixF, MatrixF)

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 MatrixF SolveLinearEquations(
	MatrixF matrixA,
	MatrixF matrixB
)

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

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

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

Parameters

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

Return Value

Type: MatrixF
The matrix X.

Exceptions

Exception	Condition
ArgumentNullException	matrixA or matrixB is .
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

MatrixF Class

SolveLinearEquations Overload

DigitalRune.Mathematics.Algebra Namespace