Linear fractional transformation

In mathematics, the phrase linear fractional transformation usually refers to a Möbius transformation, which is a homography on the complex projective line P(C) where C is the field of complex numbers.

More generally in mathematics, C may be replaced by another ring (A, +, ×). Then a linear fractional transformation refers to a homography over P(A), the projective line over a ring. When A is a commutative ring, then the linear fractional transformation has the familiar form

单词	Linear fractional transformations
释义	Linear fractional transformations 英语百科 Linear fractional transformation In mathematics, the phrase linear fractional transformation usually refers to a Möbius transformation, which is a homography on the complex projective line P(C) where C is the field of complex numbers. More generally in mathematics, C may be replaced by another ring (A, +, ×). Then a linear fractional transformation refers to a homography over P(A), the projective line over a ring. When A is a commutative ring, then the linear fractional transformation has the familiar form
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Linear fractional transformations

Linear fractional transformation