[Maxima] about solve()

[Rogers, Raymond]

	On Nov 19, 2007 9:24 AM, Rogers, Raymond
<raymond-rogers at idexx.com> wrote:
	

		You might try implementing Newton-Raphson....
	
<http://numericalmethods.eng.usf.edu/ebooks/newtonraphson_03nle_ebook.ht
m> I'm really surprised that Maxima doesn't have a package to do this. 


	Maxima has a variety of documented numerical solving routines.
If you're looking for Newton method, try
	
	?? newton 
	
	at the command line, which documents naive univariate
Newton-Raphson (newton) and multivariate Newton-Raphson ( mnewton).  The
query
	
	?? root
	
	will show find_root, a combination of binary search and
Newton-Raphson which works for a larger variety of functions, realroots,
which uses Sturm sequences for univariate polynomials (real_root),
allroots for complex roots of polynomials.  And so on. 
	
	Why doesn't solve use any of these methods?  Because Maxima is
primarily a *symbolic* system, so solve looks for closed-form symbolic
solutions.
	
	              -s 

Sorry, my mistake.  I did a superficial search and it wasn't through
enough.
 
RRogers
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