LinearFractionalTransform

LinearFractionalTransform[m]

gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix m.

LinearFractionalTransform[{a,b,c,d}]

represents a linear fractional transformation that maps to .

Details

Examples

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Basic Examples  (1)

This creates the linear fractional transform :

This is the corresponding formula:

Scope  (3)

If the scalar d is omitted, it is taken to be 1:

A single matrix is taken to be the homogeneous representation of the transform:

Suppose you have a linear fractional transform t:

The inverse is computed by applying InverseFunction:

This shows that s and t are inverses:

This shows the same thing using formulas:

Introduced in 2007
 (6.0)