I noticed that dgeev returns real & imaginary parts of the complex
eigenvectors -- reasonable, but unexpected.
J9.04k Windows

load '~addons/math/lapack2/example/dgeev.ijs'

ev

0.799482 _0.0994125j0.400792 _0.0994125j_0.400792 _0.100657

vr

_0.655089 _0.193302 0.254632 0.125333

_0.523629 0.251857 _0.522405 0.332022

0.536218 0.0971825 _0.308384 0.593838

_0.0956068 0.675954 0 0.722087

'e1 e2 e3 e4'=:ev

'v1 v2 v3 v4'=:|:vr

a

0.35 0.45 _0.14 _0.17

0.09 0.07 _0.54 0.35

_0.44 _0.33 _0.03 0.17

0.25 _0.32 _0.13 0.11

a +/ . * v1

_0.523732 _0.418632 0.428697 _0.0764359

e1*v1

_0.523732 _0.418632 0.428697 _0.0764359

a +/ . * v2 j. v3

_0.0828378j_0.102787 0.184338j0.152876 0.113937j0.0696072
_0.0671983j0.270917

e2 * v2 j. v3

_0.0828378j_0.102787 0.184338j0.152876 0.113937j0.0696072
_0.0671983j0.270917





On Wed, Feb 15, 2023 at 6:46 AM Raul Miller <rauldmil...@gmail.com> wrote:

> For documentation, it looks like
> https://code.jsoftware.com/wiki/Vocabulary/LAPACK
> and maybe
> https://code.jsoftware.com/wiki/Addons/math/lapack
>
> should be decent.
>
> As for the definitions themselves, it looks like
>
>    require'math/lapack2'
>
> brings in all of the lapack2 the definitions, and that they're all in
> the jlapack2 locale.
>
> So, dgeev_jlapack2_ should work.  Or, if you prefer, you could use
>
>    coinsert'jlapack2'
>
> after which dgeev should work.
>
> I hope this helps,
>
> --
> Raul
>
> On Wed, Feb 15, 2023 at 4:21 AM Erik Papp <erikmail...@gmail.com> wrote:
> >
> > Thank you for your answer!
> >
> > The example is running perfectly, but the eigenvalues, the eigenvectors
> and
> > SVD are not.
> > I do not understand why?
> >
> > load'math/lapack2'
> >
> > load'math/lapack2/example/dgeev'
> >
> > 0.799482 _0.0994125j0.400792 _0.0994125j_0.400792 _0.100657
> >
> >
> ┌────────────────────────────────────────┬───────────────────────────────────────┐
> >
> > │ _0.624471 0.533023 0 0.664141          │ _0.655089 _0.193302 0.254632
> > 0.125333 │
> >
> > │ _0.599489 _0.266616 0.404136 _0.106815 │ _0.523629 0.251857 _0.522405
> > 0.332022 │
> >
> > │ 0.499916 0.345526 0.315285 0.729325    │ 0.536218 0.0971825 _0.308384
> > 0.593838 │
> >
> > │_0.0270862 _0.254081 _0.445113 0.124866 │_0.0956068 0.675954 0
> > 0.722087         │
> >
> >
> └────────────────────────────────────────┴───────────────────────────────────────┘
> >
> > load'math/lapack2/example/dgesvd'
> >
> >
> ┌──────────┬─────────────────────────────┬───────────────────────────────────────┐
> >
> > │ 1.45189  │_0.819947 0.556294 0.134997  │_0.801549 _0.446592 _0.314262
> > _0.243545│
> >
> > │ 0.143339 │_0.466218 _0.512125 _0.721366│ 0.572863 _0.391724 _0.512788
> > _0.505399│
> >
> > │0.00422124│_0.332157 _0.65442 0.679269  │ 0.16912 _0.738115 0.120025
> > 0.642012   │
> >
> > │          │                             │0.0272991 _0.319835 0.789862
> > _0.522569 │
> >
> >
> └──────────┴─────────────────────────────┴───────────────────────────────────────┘
> >
> > 1.45189        0        0 0
> >
> >       0 0.143339        0 0
> >
> >       0 0      0.00422124 0
> >
> > ┌───────────────────────────┬───────────────────────────┐
> >
> > │ 1 0.5 0.3333 0.25         │ 1 0.5 0.3333 0.25         │
> >
> > │ 0.5 0.3333 0.25 0.2       │ 0.5 0.3333 0.25 0.2       │
> >
> > │0.3333 0.25 0.2 0.1667     │0.3333 0.25 0.2 0.1667     │
> >
> > └───────────────────────────┴───────────────────────────┘
> >
> > coclass 'jlapack'
> >
> >
> >
> > dgeev=: geev
> >
> > tdgeev=: tgeev
> >
> > testdgeev=: testgeev
> >
> >
> >
> > require '~addons/math/lapack2/geev.ijs'
> >
> > not found: c:/users/tulajdonos/j903/addons/math/lapack2/geev.ijs
> >
> > |file name error: script
> >
> > | 0!:0 y[4!:55<'y'
> >
> >
> >
> > dgesvd=: gesvd
> >
> > tdgsvd=: tgsvd
> >
> > restdgsvd=: testgsvd
> >
> >
> >
> > require '~addons/math/lapack2/gesvd.ijs'
> >
> > not found: c:/users/tulajdonos/j903/addons/math/lapack2/gesvd.ijs
> >
> > |file name error: script
> >
> > | 0!:0 y[4!:55<'y'
> >
> > load'addons/math/lapack/gesvd.ijs'
> >
> > not found: C:/Users/Tulajdonos/addons/math/lapack/gesvd.ijs
> >
> > |file name error: script
> >
> > | 0!:0 y[4!:55<'y'
> >
> >
> >
> > bill lam <bbill....@gmail.com> ezt írta (időpont: 2023. febr. 14., K,
> > 15:43):
> >
> > > The math/lapack addon was no longer supported on current J.
> > > Instead, lapack is provided by math/lapack2. The windows binaries from
> it
> > > has optimized blas,
> > > should be order of magnitude faster than that in the older lapack
> addon.
> > > However, usage of these 2 addons are different.
> > > You need to study various scripts under the test folder.
> > > The dgeev.ijs should be the script you need.
> > >
> > > FYI the left argument of dyad verb tdgeev there is the parameter for
> data
> > > type/precision.
> > > 0 1 2 3   for double complex  single-precision float  and
> single-precision
> > > complex.
> > >
> > >
> > > On Tue, Feb 14, 2023 at 10:06 PM Erik Papp <erikmail...@gmail.com>
> wrote:
> > >
> > > > Dear J Jusers,
> > > >
> > > > Earlier I used *LAPACK* in the *J602a* and *J804* versions without
> any
> > > > problems.
> > > >
> > > > I installed the *J903* version along with *LAPACK* based on
> > > >
> > > >  *System/Installation/J903/AIO*. I repeated the installation several
> > > > times, but it does not run,
> > > >
> > > > it *always gives an error*.
> > > >
> > > > I tried running the *Addons/math/lapack* example, but I kept getting
> > > > an error message.
> > > >
> > > > After
> > > >
> > > > load 'math/lapack math/lapack/dgeev'
> > > >
> > > > not found: c:/users/tulajdonos/j903/addons/math/lapack/lapack.ijs
> > > >
> > > > |file name error: script
> > > >
> > > > | 0!:0 y[4!:55<'y'
> > > >
> > > > I getting error message.
> > > >
> > > > It was the same problem after
> > > >
> > > > load 'math/lapack2 math/lapack2/dgeev'
> > > >
> > > > not found: c:/users/tulajdonos/j903/addons/math/lapack2/dgeev.ijs
> > > >
> > > > |file name error: script
> > > >
> > > > | 0!:0 y[4!:55<'y'
> > > >
> > > >
> > > > Has anyone had a similar experience?
> > > >
> > > > How to install LAPACK on J903?
> > > >
> > > > Thank you in advance for your kind help.
> > > >
> > > >  Sincerely, Erik
> > > >
> ----------------------------------------------------------------------
> > > > For information about J forums see
> http://www.jsoftware.com/forums.htm
> > > >
> > > ----------------------------------------------------------------------
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> > >
> > ----------------------------------------------------------------------
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