Do you plan to release equivalents of the LAPACK generalized eigenvalue solvers e.g. ZGGEV?

Also, have you any plan to release versions of ARPACK routines?

Thank you and Happy New Year

John

6 posts
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Do you plan to release equivalents of the LAPACK generalized eigenvalue solvers e.g. ZGGEV?

Also, have you any plan to release versions of ARPACK routines?

Thank you and Happy New Year

John

Also, have you any plan to release versions of ARPACK routines?

Thank you and Happy New Year

John

- fletchjp
**Posts:**203**Joined:**Mon Dec 27, 2010 7:29 pm

John,

The plan for MAGMA 1.0 is to release xGEEV, xHEEVD, and xGESVD. These will be LAPACK, accelerated through multithreaded BLAS and only some of the algorithms' components accelerated through GPUs, namely the reductions to upper Hessenberg, tridiagonal, and bidiagonal forms respectively (for the three algorithms), including the orthogonal operations associated with these factorizations.

We plan to add quickly the generalized eigenvalue solvers for the next release, following similar approach (e.g., for ZGGEV, accelerating with GPUs components like zgeqrf, zunmqr, zungqr, and zgghrd, and leaving the rest for the multicore host using multithreaded BLAS).

As of now, we do not have plans to release ARPACK routines accelerated using GPUs.

Happy New Year.

Stan

The plan for MAGMA 1.0 is to release xGEEV, xHEEVD, and xGESVD. These will be LAPACK, accelerated through multithreaded BLAS and only some of the algorithms' components accelerated through GPUs, namely the reductions to upper Hessenberg, tridiagonal, and bidiagonal forms respectively (for the three algorithms), including the orthogonal operations associated with these factorizations.

We plan to add quickly the generalized eigenvalue solvers for the next release, following similar approach (e.g., for ZGGEV, accelerating with GPUs components like zgeqrf, zunmqr, zungqr, and zgghrd, and leaving the rest for the multicore host using multithreaded BLAS).

As of now, we do not have plans to release ARPACK routines accelerated using GPUs.

Happy New Year.

Stan

- Stan Tomov
**Posts:**258**Joined:**Fri Aug 21, 2009 10:39 pm

Hi,

do you already added a generalized eigenvalue solver? I tried to use ZGGEV for fortran (magmaf_zgeev), but it doesn't work. Is there another possibility to solve the complex eigenvalues as fast as possible?

I tried the following:

And I got the error that there is a problem with `magmaf_zggev_' :

Tobi

do you already added a generalized eigenvalue solver? I tried to use ZGGEV for fortran (magmaf_zgeev), but it doesn't work. Is there another possibility to solve the complex eigenvalues as fast as possible?

I tried the following:

- Code: Select all
`call magmaf_init();`

n1 = this%nmodes

n2 = 2*n1

!

B2 = -this%SSA

A2 = this%SSB

!

! Workspace Query

!

call magma_wtime_f(tstart)

call magmaf_zggev( 'N', 'N', n2, A2, n2, B2, n2, ALPHA, BETA, this%SSEVL, &

& n2, this%SSEVR, n2, cval, -1, RWORK, INFO )

call magma_wtime_f(tend)

And I got the error that there is a problem with `magmaf_zggev_' :

- Code: Select all
`gfortran-4.8 -Wall -I/home/tobi/Programme/magma-1.6.2/include -Dmagma_devptr_t="integer(kind=8)" -o MiBliV MiBliV.o Menu.o Menu_Alternative.o Menu_Alternative_Paral.o Menu2.o Optim.o OptimGlob.o Menu_Modify.o Init.o fortran.o /home/tobi/Programme/04_MiBliV_OBJ/00_Library/libMiBliV.so /home/tobi/Programme/Function/FunctionsDevel/libFuncs.so /usr/lib/liblapack.so -L/usr/local/cuda/lib64 -L/usr/lib -L/home/tobi/Programme/magma-1.6.2/lib -L/usr/local/atlas/lib -lmagma -lcublas -llapack -lf77blas -lcblas -latlas -lcublas -lcudart -lstdc++ -lm -lgfortran -fopenmp`

/home/tobi/Programme/04_MiBliV_OBJ/00_Library/libMiBliV.so: Nicht definierter Verweis auf `magmaf_zggev_'

collect2: error: ld returned 1 exit status

make: *** [MiBliV] Fehler 1

Tobi

- echse
**Posts:**15**Joined:**Thu May 28, 2015 9:59 am

No, MAGMA does not have a non-symmetric generalized eigenvalue solver to solve A x = lambda B x.

It does have a non-symmetric standard eigenvalue solver, magma_zgeev, to solve A x = lambda x.

It also has Hermitian standard eigenvalue solvers:

magma_zheevd solves A x = lambda x for Hermitian A;

as well as Hermitian generalized eigenvalue solvers:

magma_zhegvd solves A x = lambda B x (and variants) for Hermitian A and B, B is positive definite.

-mark

It does have a non-symmetric standard eigenvalue solver, magma_zgeev, to solve A x = lambda x.

It also has Hermitian standard eigenvalue solvers:

magma_zheevd solves A x = lambda x for Hermitian A;

as well as Hermitian generalized eigenvalue solvers:

magma_zhegvd solves A x = lambda B x (and variants) for Hermitian A and B, B is positive definite.

-mark

- mgates3
**Posts:**726**Joined:**Fri Jan 06, 2012 2:13 pm

Do you have an example for Fortran for the eigensolvers magma_zgeev and magma_zgeev_m?

- echse
**Posts:**15**Joined:**Thu May 28, 2015 9:59 am

Not from Fortran, just the C examples in testing/testing_zgeev.cpp and testing_zgeev_m.cpp. Except for needing a larger workspace, they should be drop-in replacements for the LAPACK routines. Unlike MAGMA's C interface which uses enum constants, the Fortran interface still uses character constants ('N' or 'V' for jobvl and jobvr).

-mark

-mark

- mgates3
**Posts:**726**Joined:**Fri Jan 06, 2012 2:13 pm

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