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MathGroup Archive 2006

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Re: Re: Method option to Solve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71689] Re: [mg71571] Re: Method option to Solve
  • From: "Chris Chiasson" <chris at chiasson.name>
  • Date: Sun, 26 Nov 2006 03:49:29 -0500 (EST)
  • References: <ejur0n$i3c$1@smc.vnet.net> <200611231041.FAA25291@smc.vnet.net>

Sometimes I just like to ask questions and get the answers, possibly
for later use.

The search for undocumented functions thread we started a while back
lead me to the discovery of the BoxForms` context, where I found the
very useful BoxForms`Intercalate - a function that can be used to
insert items between all other items in a list - and
Internal`BlockFlatten - a function that can selectively flatten parts
of expressions without losing elements.

Stuff I found out about from asking on the MathGroup includes the
Mathematica Ant task, GetBoundingBoxSizePacket, homotopic
continuation, and some tensor math.

Honestly, some people on the list provide priceless information at
exactly that cost -- so I keep asking (and thanking) :-)

On 11/23/06, dimitris <dimmechan at yahoo.com> wrote:
> Searching more I didn't find many things.
> It's very obscure. Isn't it?
>
> Even the (giant!) Guidebook For Symbolics of M. Trott doesn't contain
> anything information.
> I guess it is something out there. Probably Daniel Lichtblau will give
> you more details.
>
> But my examples show that only with the default
> (Method->3) you get solutions (or all the solutions), so what's
> bothering you?
>
> I recently ask
>
> (http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/fec1e7b5842eaa71/10571f3cc27dfe34?lnk=gst&q=Exact+Root&rnum=1&hl=en#10571f3cc27dfe34)
>
> about the ExactRootIsolation option of Root function.
>
> The answer I got from Andrzej Kozlowski (I guess he will give you the
> answer you search for!) was well informative with a lot of details.
>
> But he mentioned me something which give me a hint I try to keep in my
> mind from now and then when I make questions to the forum. First what
> he said:
>
> "I don't think any of it should  concern the average user, unless you
> are really working on something  involving algebraic numbers, when
> knowing which method of root
> isolation was used may be important."
>
> Now the hint. Am I really need all these information or just during my
> work with Mathematica I found something undocumented?
>
> And before you misunderstand me I tell you that these friendly comments
> come from someone that at least 10% of his questions were about
> undocumented options/commands/settings/functions!
>
> Best Regards
> Dimitris
>
>
>
>
>
> Andrew Moylan wrote:
> > Hi all,
> >
> > The usage string for the option name Method says "Method is an option
> > to Solve, related functions, and various numerical functions, which
> > specifies what algorithm to use in evaluating the result.". The list of
> > options for Solve does indeed include Method, with a default value of
> > 3:
> >
> > In[11]:=
> > Options[Solve]
> >
> > Out[11]=
> > {InverseFunctions -> Automatic, MakeRules -> False,
> >   Method -> 3, Mode -> Generic, Sort -> True,
> >   VerifySolutions -> Automatic, WorkingPrecision -> Infinity}
> >
> > However, I have been unable to find any other reference to the Method
> > option to Solve in the documentation. Can anyone explain what this
> > option does, and/or refer me to a part of the documentation that
> > explains it?
> >
> > Cheers,
> > Andrew
>
>


-- 
http://chris.chiasson.name/


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