BasisChangeCoordinates Method

public static DoubleMatrix ChangeCoordinates(
	Basis newBasis,
	DoubleMatrix currentCoordinates,
	Basis currentBasis
)

Public Shared Function ChangeCoordinates ( 
	newBasis As Basis,
	currentCoordinates As DoubleMatrix,
	currentBasis As Basis
) As DoubleMatrix

public:
static DoubleMatrix^ ChangeCoordinates(
	Basis^ newBasis, 
	DoubleMatrix^ currentCoordinates, 
	Basis^ currentBasis
)

static member ChangeCoordinates : 
        newBasis : Basis * 
        currentCoordinates : DoubleMatrix * 
        currentBasis : Basis -> DoubleMatrix 

Parameters

newBasis  Basis

The basis which the new coordinates must be referred to.

currentCoordinates  DoubleMatrix

The current coordinates.

currentBasis  Basis

The current basis.

Return Value

Each row in currentCoordinates is interpreted as the coordinates of a point. Hence, a matrix is returned having the same dimensions of currentCoordinates, in which the i-th row represents the coordinates of the i-th point with respect to the new basis.

Let and be the matrix representations of currentBasis, and newBasis, respectively, and let be currentCoordinates, i.e. the coordinates matrix w.r.t. basis of the points under study:



Then method ChangeCoordinates(Basis, DoubleMatrix, Basis) returns the matrix

Reference