Linear fractional transformation
id:
linear-fractional-transformation-174-13656637
title:
Linear fractional transformation
text:
In mathematics, a linear fractional transformation is, roughly speaking, an invertible transformation of the form
- z ↦ a z + b c z + d. The precise definition depends on the nature of a, b, c, d, and z. In other words, a linear fractional transformation is a transformation that is represented by a fraction whose numerator and denominator are linear. In the most basic setting, a, b, c, d, and z are complex numbers, or more generally elements of a field. The invertibility condition is then ad –
brand slug:
wiki
category slug:
encyclopedia
description:
Möbius transformation generalized to rings other than the complex numbers
original url:
https://en.wikipedia.org/wiki/Linear_fractional_transformation
date created:
2003-12-14T21:50:35Z
date modified:
2024-09-02T22:13:55Z
main entity:
{"identifier":"Q12033559","url":"https://www.wikidata.org/entity/Q12033559"}
image:
fields total:
13
integrity:
15