roots() bug with a simple linear system of equations

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roots() bug with a simple linear system of equations - roots() returns "not real roots"

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Jarrinator		#1 Posted : 24 June 2013 04:15:46(UTC)
Rank: Member Groups: Registered Joined: 15/05/2012(UTC) Posts: 14 Location: Profeta Miqueas Oe10-309 y Tabiazo Was thanked: 7 time(s) in 4 post(s)		Trying to solve a simple linear system of equations (2 equations) using the roots() function gave me the error message "No real roots", but changing the order of the elements of one of the equations, solved it. I know this is not so important, but it was interesting to see how SMath`s functions behaves.
		Ecuadorian Electronic engineer and MBA student at Salesian Polytechnic University.
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2 users thanked Jarrinator for this useful post.		on 24/06/2013(UTC), on 24/06/2013(UTC)
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omorr		#2 Posted : 24 June 2013 08:28:09(UTC)
Rank: Administration Groups: Registered, Advanced Member Joined: 23/06/2009(UTC) Posts: 1,740 Was thanked: 318 time(s) in 268 post(s)		Confirmed, It seems some bug is here. FindRoot() from Nonlinear Solvers plugin will work well here FindRoot(mat(A+B-108,2A-3B-156,2,1),mat(A≡0,B≡0,2,1))=mat(96,12,2,1) Regards, Radovan
		When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
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2 users thanked omorr for this useful post.		on 24/06/2013(UTC), on 24/06/2013(UTC)
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mkraska		#3 Posted : 25 June 2013 11:06:19(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1127 time(s) in 723 post(s)		Symbolic optimization fails to recognize the difference of the equivalent expresions to zero in one step. If the result is taken and again symbolically optimized, then zero is identified. Perhaps an internal workaround for such problems could be to repeatedly apply symbolic optimization until there are no more changes. File Attachment(s): roots.sm (18kb) downloaded 68 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx

3 users thanked mkraska for this useful post.		on 25/06/2013(UTC), on 25/06/2013(UTC), on 29/06/2013(UTC)
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