Maxima's solve seems to provide multiple yet not all solutions.


nonlinear_kr.sm (8,26 KiB) scaricato 1164 volta(e).

Wrote

Maxima's solve seems to provide multiple yet not all solutions.

Interesting, cause maxima in linux terminal can find all solutions.
I have tried, wxMaxima (gui of maxima) can also find all of them.

Wrote

Hello,

It should be careful if the equations are a bit more complicated.

As far as I know, al_nleqsolve() is the only solver in SMath which will solve nonlinear equations in a pure numerical fashion (excluding solvers from Maxima and Maple plugins).

This "numerical thing" was mentioned here many times - maybe to many.

Regards,
Radovan

This is a good demonstation, thanks for your reply.
Since he choose a nickname "newbie" I wanted to keep it simple.
There are a lot of solver in smath, all with their pros and cons.
Which is a good thing I guess, diversity is golden.
If you can't find a solution with a function try another one.
Trying through simpler to complex is the proper way, at least this is my opinion.

Regards

Wrote

Maxima's solve seems to provide multiple yet not all solutions.

Could you please set optimization to symbolic, expand the matrix, then set to none again?
Maxima may have found all solutions but can't show because of matrix reduced view.
Three dot to expand matrix doesn't appear if optimization is selected to none.
This is a cosmetic bug if I had to make a statement.

Regards

Wrote

Maxima's solve seems to provide multiple yet not all solutions.

FindRoots is sensible to initial, like any other solvers.
Thus a good practice to let it breath by itself from initial
... then collect from visual sanity plot SS 6179.

Wrote

Wrote

If I have two non-linear equations with 2 unknowns x,y: f(x,y)=0 and g(x,y)=0. I know there are real roots and the ranges of the roots. How can I solve these in Smath?

1.f(x,y)=0 and g(x,y)=0 are implicit [= 0] in mathematical definition.
2. That they have real roots, you can't know in advance.
3. Solving in there means solving for their intersection
4. Visit this triplet solved.
Cheers ... Jean ... give your functions..

Contour SOLVE AstroidHyperbola.sm (22,66 KiB) scaricato 1260 volta(e).

Thank you Jean. Please see attached my smath file. I tried all options but all gave me errors. The current one didn't give me any errors but took forever to solve (or ever able to solve it).Complex Equations.sm (47,29 KiB) scaricato 1241 volta(e).

Wrote

Wrote

Maxima's solve seems to provide multiple yet not all solutions.

Could you please set optimization to symbolic, expand the matrix, then set to none again?
Maxima may have found all solutions but can't show because of matrix reduced view.
Three dot to expand matrix doesn't appear if optimization is selected to none.
This is a cosmetic bug if I had to make a statement.

Regards

You are right, there seems to be a display bug. Thank you for pointing this out.

Optimization None doesn't properly co-operate with result ellipsis mechanism.
The resize handle is missing.

This is bad in two ways. First, you can't change the amount of displayed elements, second, you can't even see that there are suppressed elements.


nonlinear_kr1.sm (21,79 KiB) scaricato 1184 volta(e).

Wrote

Thank you Jean. Please see attached my smath file. I tried all options but all gave me errors. The current one didn't give me any errors but took forever to solve (or ever able to solve it)

Try to plot something as soon as possible.
Here, it computes in few seconds but complains
too many not defined, units don't match, result above max ...

Wrote

Try to plot something as soon as possible.
Here, it computes in few seconds but complains
too many not defined, units don't match, result above max ...

Complex Equations (1 to be doctored).sm (59,76 KiB) scaricato 1263 volta(e).

.... download this same updated in split part.
At this point make the Units match.
I don't doctor units, they are against maths and my conviction.
Keep working hard ... Jean

Complex Equations (1 to be doctored).sm (64,43 KiB) scaricato 1319 volta(e).

Wrote

.... download this same updated in split part.
At this point make the Units match.
I don't doctor units, they are against maths and my conviction.
Keep working hard ... Jean

Complex Equations (1 to be doctored).sm (64,43 KiB) scaricato 1319 volta(e).

Thanks, Jean for giving this a stab. Let me try to remove all the units in the equations and see what happens.

Wrote

.... download this same updated in split part.
At this point make the Units match.
I don't doctor units, they are against maths and my conviction.
Keep working hard ... Jean

Complex Equations (1 to be doctored).sm (64,43 KiB) scaricato 1319 volta(e).

Please use the attached file. No more units in the equations. Or use this block
Complex Equations (unitless).sm (50,11 KiB) scaricato 1269 volta(e).