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rtoy / maxima

A Clone of Maxima's repo
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complex rootes #2844

Open rtoy opened 2 months ago

rtoy commented 2 months ago

Imported from SourceForge on 2024-07-06 23:14:29 Created by mathefritz on 2015-04-24 18:24:45 Original: https://sourceforge.net/p/maxima/bugs/2943

wxMaxima version: 13.4.0 Maxima version : 5.31.3 Maxima build date: 2013-11-22 16:33:24 Host type: x86_64-suse-linux-gnu Lisp imple. type: CLISP Lisp implementation version: 2.49 (2010-07-07) (built on cloud132 [127.0.0.1])

look to attachment. If done without inputline %i8 it works, but i need to evaluate "by hand" that for X > 0 and Y > 0 and Z > 0 the solutions are complex

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rtoy commented 2 months ago

Imported from SourceForge on 2024-07-06 23:14:29 Created by l_butler on 2015-04-26 16:31:15 Original: https://sourceforge.net/p/maxima/bugs/2943/#90d8

From 2944 (duplicate report deleted by Laher):

look at attachment: without input X : 1+abs(x) $ Y: 1+abs(y) $ Z: 1+abs(z) $ it works, but i need to evaluate manually that for X > 1 and Y > 1 and Z > 1 the roots are complex . Is the empty solution list %o11 just a sign that Maxima has "given up" ?

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rtoy commented 2 months ago

Imported from SourceForge on 2024-07-06 23:14:33 Created by l_butler on 2015-04-27 15:08:18 Original: https://sourceforge.net/p/maxima/bugs/2943/#e5b5

Follow-up from Laher (originally in 2945, deleted as a duplicate):

the result is different for different sequzences of equations in the equation list: for solve([eA,eB,eC],[p,q,r]) the simplest structured is q, for solve([eB,eA,eC],[p,q,r]) the simplest structured is r,

and the resultlist is empty for [eC,eA,eB] and [eC,eB,eA]

that makes it not very trustworthy

rtoy commented 2 months ago

Imported from SourceForge on 2024-07-06 23:14:36 Created by macrakis on 2015-05-08 02:32:45 Original: https://sourceforge.net/p/maxima/bugs/2943/#874a

Please send examples using a text format. Sending a png screenshot means that we have to re-type your tests.

rtoy commented 2 months ago

Imported from SourceForge on 2024-07-06 23:14:40 Created by mathefritz on 2015-05-08 04:28:03 Original: https://sourceforge.net/p/maxima/bugs/2943/#874a/185b

VA : p*(1-r) $ VB : q*(1-p) $ VC : r*(1-q) $
VI : 1-VA-VB-VC $
eA : VA = X*VI ; eB : VB = Y*VI ; eC : VC = Z*VI;
pqr : solve([eA,eB,eC],[p,q,r]);

and now change the sequence of equations in solve