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LinearFractionalTransform

LinearFractionalTransform[m]
gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix m.
LinearFractionalTransform
represents a linear fractional transformation that maps to .
  • For ordinary linear fractional transforms in n dimensions, m is an matrix.
This creates the linear fractional transform :
This is the corresponding formula:
This creates the linear fractional transform :
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In[2]:=
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This is the corresponding formula:
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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:
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