Non Iterative & Signum-based Iterative methods

Non Iterative & Signum-based Iterative methods - roots / maximum / mimimum - Messaggi

#1 Pubblicato: 16/05/2016 08:09:42
Davide Carpi

Davide Carpi

1.443 apprezzamenti in 2.936 post.

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Non iterative methods for root estimation + iterative methods based on the sign(1) function for finding roots and maximum/minimum values in a range.

Signum-based Iterative methods.sm (185,41 KiB) scaricato 1586 volta(e).

roots.png

2016-05-16 17_40_31-SMath Studio Desktop - [Signum-based Iterative methods.sm].png
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frapuano 16/05/2016 14:51:00, Andrey Ivashov 17/05/2016 10:36:00
#2 Pubblicato: 16/05/2016 09:42:35
Jean Giraud

Jean Giraud

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Thanks Davide ... that will make my day !

I discovered the "GID" transit integrator in Mathcad 11.
Works as well in Smath. Don't know if other CAS support ?

Then: like this

Jean

Forum Davide Signum_0.gif
#3 Pubblicato: 16/05/2016 09:48:38
Jean Giraud

Jean Giraud

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BTW: Nobody @ PTC Mathcad Community has seen "GID" integrator,
PTC and Jean ended "warflame" years ago before "GID" [just too bad].
#4 Pubblicato: 16/05/2016 10:12:07
Jean Giraud

Jean Giraud

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... p'(x) takes a while to plot.

Integrate GID Signum.sm (15,22 KiB) scaricato 1523 volta(e).
#5 Pubblicato: 16/05/2016 10:48:25
Jean Giraud

Jean Giraud

983 apprezzamenti in 6.866 post.

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... in your last example: there is a missing 0 and an extra min/max

Forum Davide Signum_1.gif
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Davide Carpi 16/05/2016 12:42:00
#6 Pubblicato: 16/05/2016 12:47:09
Davide Carpi

Davide Carpi

1.443 apprezzamenti in 2.936 post.

Gruppo: Moderator

Wrote

... in your last example: there is a missing 0 and an extra min/max



True, thank you Jean

Usually it may need to play a little with bounds and intervals. In this case changing intervals from 40 to 41 fixed the issue. (updated the first post)
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