Motivation for new Sca/LAPACK. Challenges (or research opportunities...) Goals of new Sca/LAPACK ... van de Geijn/Quintana-Orti, Howell / Fulton, Bischof / Lang ...
For all linear algebra problems. For all matrix structures. For all data types ... Only get 'matrix close to singular' message when answer wrong? Extends to ...
Opportunities and demands of new architectures, programming languages. New releases planned (NSF support) Your feedback desired. www.netlib.org/lapack-dev ...
Divide-and-conquer (STEDC): all eigenvectors, faster than the the previous two ... PDSYEVD: parallel divide and conquer (F. Tisseur) PDSYEVR: MRRR (C. V mel) ...
The NVIDIA G80 Processor. CUDA (Compute ... C Interface for Performing Operations on the NVIDIA Processor ... NVIDIA's CUDA Based Implementation of BLAS ...
Jack Dongarra, Victor Eijkhout, Julien Langou, Julie Langou, Piotr Luszczek, Stan Tomov ... calls to ILAENV() to get block sizes, etc. Not systematically tuned ...
Best choice can depend on knowing a lot of applied mathematics and ... Algorithm and its implementation may strongly depend on data only known at run-time ...
Fastest (at one time) eigenvalue algorithm in LAPACK fails. Need Pk (ak - bk) accurately ... Can cause programs to hang. Ex 3: Different rounding (even on IEEE ...
'A multi-university and college, interdisciplinary institute ... BLAS, LAPACK, FFTW, PETSc, ... debugging, profiling, performance tools. Common between clusters ...
Matlab Programming Tips and Tricks. Samuel Cheng. University of Oklahoma ... Matlab is an encapsulation of highly optimized Lapack and Blas numerical library ...
Run vectorized loops on the GPU, rest (least work) on the CPU. Autotune to decide optimal redundancy and when involve CPU ... LAPACK does 50% of work is in BLAS1/BLAS2 ...
in double precision source bases a good substitute since Opteron has the same ... ACML 2.5 Snap Shot Soon to be released. Components of ACML. BLAS, LAPACK, FFTs ...
Distributed computing is more difficult than local computing because ... Erase the distinction between ... Lapack/Blas. Mark.Baker@Computer.Org. 53 ...
... energy required to steer the state of the system from 0 to xr is given by: ... Collection of Fortran 77 subroutines. Using subroutines from BLAS and LAPACK ...
... or use general sparse methods, while re-using the same top-level code interoperates with cutting-edge linear algebra software (LAPACK, PETSc, SuperLU) ...
... EISPACK, pre-parallelized LAPACK-based NAG linear algebra libraries and shared ... this task separately in another program using NAG SMP library subroutines ...
Going all the way to k=m (or n) we get the Singular Value Decomposition (SVD) of A ... Schur decomposition. Generalized problem: Ax= Bx LAPACK provides routines ...
Parallel Programming & Cluster Computing Linear Algebra Henry Neeman, University of Oklahoma Paul Gray, University of Northern Iowa SC08 Education Program s ...
Targeting Multi-Core systems in Linear Algebra applications Alfredo Buttari, Jack Dongarra, Jakub Kurzak and Julien Langou Petascale Applications Symposium
... of BLAS has been released, developed by Kazushige Goto (currently at UT Austin) ... C. L. Lawson, R. J. Hanson, D. Kincaid, and F. T. Krogh, Basic Linear Algebra ...
Paul Gray, University of Northern Iowa. SC08 Education Program's Workshop on Parallel & Cluster Computing ... Henry, A. Petitet, K. Stanley, D. Walker, R. C. ...
Algorithms that attain them (all dense linear algebra, some sparse) ... Can we attain these lower bounds? Do conventional dense algorithms as implemented in ...
Motivation, overview for Dense Linear Algebra. Review Gaussian Elimination (GE) for ... Rest of DLA what's it like (not GEPP) Missing from ScaLAPACK - projects ...
Title: Optimizing Matrix Multiply Author: Kathy Yelick Description: Slides by Jim Demmel, David Culler, Horst Simon, and Erich Strohmaier Last modified by
C mputo paralelo para el an lisis de la din mica de fluidos computacional Contenido Marco de referencia Arquitectura de computadoras paralelas Lenguajes de ...
ITEP computing center and plans for supercomputing Plans for Tier 1 for FAIR (GSI) in ITEP 8000 cores in 3 years, 2000-3000 in this year Distributed parallel ...
Title: Optimizing Matrix Multiply Author: Kathy Yelick Description: Slides by Jim Demmel, David Culler, Horst Simon, and Erich Strohmaier Last modified by
This is Comet Shoemaker-Levy 9, which hit Jupiter in 1994; the image is from 35 ... Typically, it is color coded by mapping some scalar variable to color (e.g., low ...
Title: No Slide Title Author: Osni Marques Last modified by. Created Date: 3/17/1999 12:47:52 AM Document presentation format: On-screen Show Other titles
Goal: Algorithms that communicate as little as possible for: ... Grey Ballard, UCB EECS. Ioana Dumitriu, U. Washington. Laura Grigori, INRIA. Ming Gu, UCB Math ...
Computational Electromagnetics - Sources of large dense linear systems ... Computational Electromagnetics (MOM) ... computational electromagnetics and linear systems ...
Paul Boggs. Developer of TSF. Jason Cross. Developer of Jpetra. David Day ... Paul Sexton. Developer of Epetra and Tpetra. Ken Stanley. Lead Developer of Amesos ...
Most of you drive a car, however I doubt most of you know much about the inner ... Specifically, dgetrf returns an 'info' code and possibly error messages as we ...
Linear Algebra wasn t offered as a separate mathematics course at major universities until the 1950 s and 60 s. Interest in linear algebra skyrocketed.
if it's easy to phrase an operation in terms of BLAS, get speed safety for free ... The BLAS only solves triangular systems. Forward or backward substitution ...
In the past few years, a new version of BLAS has been released, developed by ... You can't output the data on one kind of computer and then use them (for example, ...