Here is Igor Zhuravlov's report on documentation for mt.  He is the principle 
author of mt.  --Kip Murray

Mr. Murray,

Sorry for delayed answer.

В сообщении от 5 октября 2013 11:30:43 вы написали:
> Now I am looking for documentation which would tell a beginner how to use
> mt to find eigenvectors and eigenvalues of an n x n matrix which has n
> linearly independent eigenvectors.  Raul Miller of the Jprogramming forum
> is looking for such documentation.

Not exactly that, but... Most of mt's interface verbs have an "Application" 
section in descriprion, where typical use cases are considered.

For eigenvalue problems this use cases require an acquaintance with J and, 
desirable, LAPACK.

AFAIK, LAPACK (and still mt) doesn't have specialized routines for normal 
(diagonalizable) matrices eigendecomposition. 

So, speaking shortly, I have no such documentation.

-- 
With best regards
Igor Zhuravlov

Sent from my iPad

> On Oct 2, 2013, at 11:28 AM, km <[email protected]> wrote:
> 
> Here is a resource that should be better known.  To use it you load
> ~addons/math/mt/mt.ijs    --Kip Murray
> 
> 
>>>> On Mon, Apr 8, 2013 at 3:17 AM, Kip Murray <[email protected]> wrote:
>>> 
>>> Igor Zhuravlof provides j routines that model LAPACK routines for
>>> eigenvalues and eigenvectors.  See "matrix toolbox"
>>> 
>>> ~addons/math/mt
>>> 
>>> with contents summarized in
>>> 
>>> ~addons/math/mt/mt.ijs
>>> 
>>> I have not tried them but would expect them to run in j701JHS.
> 
> Sent from my iPad
> 
>> On Oct 2, 2013, at 9:21 AM, Raul Miller <[email protected]> wrote:
>> 
>> J's support for mechanisms to compute eigenvalues has been rather
>> messy. And, by messy I mean that it looks like we rarely exercise
>> these mechanisms - we don't have unit tests on the entry points to be
>> run before uploading library updates, we don't have particularly good
>> documentation on the code we have and there are other problems.
>> 
>> Here's an example I stumbled over today:
>> 
>>   docs_jlapack_''
>> |value error: dirs
>> |       dirs jpathsep path,'doc/*.lap'
>>   require'dirs'
>> not found: /Users/rdmiller/Applications/j64-801/bin/dirs
>> |file name error: script
>> |       0!:0 y[4!:55<'y'
>>   require 'dir'
>>   docs_jlapack_''
>> |value error: dirs
>> |       dirs jpathsep path,'doc/*.lap'
>>   getscripts_j_ 'dir'
>> 
>> 
>> So here's a question: does anyone have the time and energy to put into
>> this mess?
>> 
>> Thanks,
>> 
>> -- 
>> Raul
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
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