LAPACK 3.6.1: What’s new
[Mark Gates, UTK] blocked back-transformation for the non-symmetric eigenvalue problem
It blocks NB gemv calls into one gemm call inside trevc. To do
that, it needs a new routine, trevc3, because unfortunately the
lwork was not passed into trevc. Attached is the performance speedup
for dgeev. It gives a nice 1.5x speedup for N=20000, and that
appears to still be increasing with N. This is not the improvements
that Greg Henry recently provided for doing the triangular solves
as BLAS-3 instead of BLAS-1. That will take a while to process,
but we expect another, even larger increase in performance when
those changes are applied. This also does not include doing multiple
(BLAS-1) triangular solves in parallel, which is available in MAGMA,
since that requires OpenMP or pthreads.
* added Symmetric/Hermitian LDLT factorization routines with rook pivoting algorithm
* 2-by-1 CSD to be used for tall and skinny matrix with orthonormal columns (in LAPCK 3.4.0, we already integrated CSD of a full square orthogonal matrix)
* New stopping criteria for balancing.
framework. The list of changes include:
* Modify compiler.mk so that "c" is always prepended to USE_LANGUAGES,
so we no longer need to say it in package Makefiles. Packages
should now append to USE_LANGUAGES instead of setting it.
* Create mk/compiler/f2c.mk which implements another pseudo-compiler
"f2c" that may be used with any C compiler backend, e.g.
PKGSRC_COMPILER= f2c ccache gcc
* Teach the various "real" compiler files, e.g., sunpro.mk, mipspro.mk,
etc., to use f2c if the native Fortran compiler isn't present.
Packages that use Fortran should now simply include the line:
USE_LANGUAGES+= fortran
in the package Makefile.
in the process. (More information on tech-pkg.)
Bump PKGREVISION and BUILDLINK_DEPENDS of all packages using libtool and
installing .la files.
Bump PKGREVISION (only) of all packages depending directly on the above
via a buildlink3 include.
