solving system of equations with complex expressions

Anonymous Monk has asked for the wisdom of the Perl Monks concerning the following question:

Hi Monks I'm trying to solve this problem. I want to solve a set of equations. It was an easy task if I got the equations in the next format:
2x1+3x2-7x3+7x5 = 7;
at this case I can turn them into a vector like this:

[-7,2,3,-7,0,7]
[download]

and to read set of those using Math::Matrix.

The problem starts when I'm dealing with complex expression for example:
3*x+(3*a)*sin(y+w)+12z = 5
at this case it is very hard to build a suitable vector and therefore hard to use Math::Matrix.

does any of you monks have a clue or ever encountered such a problem.
Thanks in advance.
Michael

Comment on solving system of equations with complex expressions Download Code

Replies are listed 'Best First'.
Re: solving system of equations with complex expressions by Albannach (Monsignor) on Oct 24, 2011 at 21:49 UTC
I believe what your asking is far more difficult than coding simple one variable polynomials, as essentially you seem to be placing no limitations on the operators or even the number of variables. You're talking about building a symbolic math manipulation tool. Perhaps this will help: Math::Symbolic? -- I'd like to be able to assign to an luser	[reply]
Re: solving system of equations with complex expressions by bluescreen (Friar) on Oct 24, 2011 at 21:31 UTC
Hi, how do you pass from 2x1+3x2-7x3+7x5 = 7 to [-7,2,3,-7,0,7] also the first equation seems to be wrong given you have 22 = 7. Then you show an equation with variables. I'm not clear what are you looking for: a symbolic evaluator? an equation parser? both? Maybe if you explain your problem domain a little bit more people will be able to help you better	[reply]
Re^2: solving system of equations with complex expressions by ForgotPasswordAgain (Priest) on Oct 24, 2011 at 21:38 UTC
It seems he meant the numbers after the x to be exponents. Move 7 over to the left side, you have -7x⁰ + 2x¹ + 3x² - 7x³ + 0x⁴ +7x⁵ = 0	[reply]
Re^3: solving system of equations with complex expressions by Anonymous Monk on Oct 25, 2011 at 06:16 UTC
this is what I meant	[reply]
Re: solving system of equations with complex expressions by bluescreen (Friar) on Oct 25, 2011 at 00:56 UTC
Speaking of Wolfram\|Alpha, that could be a solution to your problem. instead of creating a symbolic evaluation engine, maybe you can consume it's API	[reply]
Re: solving system of equations with complex expressions by planetscape (Chancellor) on Oct 25, 2011 at 02:10 UTC
Perhaps you want Sage? HTH, planetscape	[reply]
Re: solving system of equations with complex expressions by anneli (Pilgrim) on Oct 24, 2011 at 22:46 UTC
I don't think so. For instance, the equation you gave has a somewhat intractable solution; Wolfram\|Alpha doesn't have much on it.	[reply]
Re: solving system of equations with complex expressions by LanX (Saint) on Oct 24, 2011 at 23:19 UTC
http://en.wikipedia.org/wiki/Numerical_analysis#Solving_equations_and_systems_of_equations Cheers Rolf	[reply]


Your skill will accomplish what the force of many cannot
	PerlMonks