Three equations and more unknown variables

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

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Saviind		#1 Posted : 26 November 2023 03:33:51(UTC)
Rank: Newbie Groups: Registered Joined: 09/07/2019(UTC) Posts: 3 Location: Mumbai		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? Trial.sm (38kb) downloaded 14 time(s).[a Trial.sm (38kb) downloaded 14 time(s).ttach]48521[/attach] Trial.sm (38kb) downloaded 14 time(s). Best Regards Saviind


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overlord		#2 Posted : 26 November 2023 05:14:54(UTC)
Rank: Advanced Member Groups: Registered Joined: 23/07/2013(UTC) Posts: 1,159 Was thanked: 526 time(s) in 352 post(s)		Usually al_nleqsolve() is more capable at this kind of situations. Also your functions shouldn't have boolean operations. Regards


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mkraska		#3 Posted : 26 November 2023 05:40:21(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 2,020 Was thanked: 1153 time(s) in 739 post(s)		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. Trial_Kr.sm (42kb) downloaded 11 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx


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Razonar		#4 Posted : 30 November 2023 08:08:00(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,429 Was thanked: 884 time(s) in 560 post(s)		Originally Posted by: Saviind ... 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.co...r-equations.html#bt7ov7u Writing the system as a linear one, SMath have some functions for work with those systems, like this one Trial.sm (62kb) downloaded 9 time(s). Best regards. Alvaro.


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Jean Giraud		#5 Posted : 02 December 2023 01:40:17(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)		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 (104kb) downloaded 12 time(s).


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