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## Reverse function numerically

**From**: |
stn021 |

**Subject**: |
Reverse function numerically |

**Date**: |
Sun, 28 Jan 2018 23:30:07 +0100 |

Hello,
I have 2 functions:
y1 = f1( x1,x2 )
y2 = f2( x1,x2 )
also there is the reverse function
x1 = g1( y1,y2 )
x2 = g2( y1,y2 )
in octave syntax:
[ y1,y2 ] = f( [ x1,x2 ] )
[ x1,x2 ] = g( [ y1,y2 ] )
Both functions lead to exactly one distinct pair of results for each
pair of input variables. That means that always
f ( g ( [x1,x2] ) ) == [ x1,x2 ]
My problem is this: I can calculate f(x1,x2) but I cannot calculate g(y1,y2).
Meaning that f( [x1,x2] ) cannot be algebraically reversed.
I am looking for a way to calculate g( [y1,y2] ).
The obvious solution would be some kind of approximation.
(fft looks like a good choice)
So far I could not piece together how to do that.
Could you please give me a hint ?
THX,stn

**Reverse function numerically**,
*stn021* **<=**
**Re: Reverse function numerically**, *stn021*, `2018/01/28`
**Re: Reverse function numerically**, *Steven Dorsher*, `2018/01/28`
*Message not available**Message not available***Re: Reverse function numerically**, *stn021*, `2018/01/28`
**Re: Reverse function numerically**, *Montgomery-Smith, Stephen*, `2018/01/28`
*Message not available***Fwd: Reverse function numerically**, *Juan Pablo Carbajal*, `2018/01/31`
**Re: Reverse function numerically**, *stn021*, `2018/01/31`
**Re: Reverse function numerically**, *Juan Pablo Carbajal*, `2018/01/31`

**Re: Reverse function numerically**, *Montgomery-Smith, Stephen*, `2018/01/31`