Three equations and more unknown variables

Three equations and more unknown variables - Can Findroot solve three equations with more than three unknown variables? - Сообщения

#1 Опубликовано: 25.11.2023 21:33:51

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Hello All,
I have four unknowns in three linear equations. In this setup, can the FindRoot function get values for these variables?
I tried the same in MathCAD and could get the solution, but it is not working in Smath.
Can someone guide me, please?
Are there other possible solving methods for handling such equations with 6 or 8 unknowns?
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Best Regards
Saviind

#2 Опубликовано: 25.11.2023 23:14:54

overlord

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Usually al_nleqsolve() is more capable at this kind of situations.
Also your functions shouldn't have boolean operations.

Regards

#3 Опубликовано: 25.11.2023 23:40:21

Martin Kraska

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Solve() from the Maxima plugin can handle under-determined systems of equations. In such cases, the solution contains a free variable. The name changes every time the sheet is recalculated. If you want to rely on that name, insert a MaximaControl("restart" ) command to reset the Maxima session and the counter.

2023-11-25 16_32_27-SMath Solver - [Trial.sm_].png

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Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx

#4 Опубликовано: 30.11.2023 02:08:00

Alvaro Diaz Falconi

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Wrote
... I tried the same in MathCAD and could get the solution, but it is not working in Smath....

Hi. Can you share the Mathcad result? This page is the help for matlab techniques for handling underdetermined systems: https://www.mathworks.com/help/matlab/math/systems-of-linear-equations.html#bt7ov7u

Writing the system as a linear one, SMath have some functions for work with those systems, like this one

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Best regards.
Alvaro.

#5 Опубликовано: 01.12.2023 19:40:17

Jean Giraud

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For your f(x,y,z) ... I get two sets of solved [x,y,z].
Smath solves the Mathsoft example, 4 unknowns.
Smath Butller is lot more advanced/difficult.
Jean.

Solve FindRoot f(x,y,z) ITERATIVE.sm (103 КиБ) скачан 73 раз(а).

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Three equations and more unknown variables - Can Findroot solve three equations with more than three unknown variables? - Сообщения