... factorization than GP (~4x) ... Supernode = group of adjacent columns of L with ... over GP column-column. 22 matrices: Order 765 to 76480; GP factor time ...
http://crd.lbl.gov/~xiaoye/SuperLU/SLU-Highlight.gif. http://www.cise.ufl.edu/research/sparse/matrices/ Link analysis of the web. Web page = vertex ...
... or use general sparse methods, while re-using the same top-level code interoperates with cutting-edge linear algebra software (LAPACK, PETSc, SuperLU) ...
PETSc, Aztec, Hypre, ScaLAPACK, SuperLU, PVODE, Opt Structural (Frameworks) ... Aztec. User input matrix in DMSR or DVBR format. Aztec sets up its own data ...
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
AMG method) will benefit all CEMM efforts Phase I: ... temperature-dependent resistivity that varies by 5 orders of magnitude across the simulation domain,
Columns may be preordered for sparsity. Rows permuted by partial pivoting (maybe) ... Supernode = group of (contiguous) factor columns with nested structures ...
Supernode = group of (contiguous) factor columns with ... Speedup over GP column-column. 22 matrices: Order 765 to 76480; GP factor time 0.4 sec to 1.7 hr ...
Some uses of TOPS solver software. TOPS posters: what to find Tues. aft. ... reporting here; please see our eight posters Tue. and seven 2-pagers on-line ...
Read 'Computing the block triangular form of a sparse matrix' (reader #6) ... Sum own row/col of A with children's Update matrices into Frontal matrix ...
Importance = stationary distribution of Markov process. ... Stationary distribution. of a Markov chain. Power method: matvec. and vector arithmetic ...
Hard To Program (MPI not good enough anymore) Community Needs Interactive ... Contact Us Now ... Is Not Your Preferred Environment, Please Talk To Us! ...
Purpose of a scientific library is to provide highly tuned versions of common ... LUx=b with single precision but keep a copy of A in double precision ...
Susan Blackford, UT. Jaeyoung Choi, Soongsil U. Andy Cleary, LLNL. Ed ... Jack Dongarra, UT/ORNL. Sven Hammarling, NAG. Greg Henry, Intel. Osni Marques, NERSC ...
... TOPS 500, by year .13M. 6768 .3. 1 .28. Intel Paragon XP/S MP. 1995. ... Parallel time = O( tf N3/2 / P tv ( N / P1/2 N1/2 P log P ) ) Performance model 2 ...
High Performance Computing An overview Alan Edelman Massachusetts Institute of Technology Applied Mathematics & Computer Science and AI Labs (Interactive ...
Final presentations for survey projects next Tue and Thu. 20-minute talk with at least 5 min for ... Solve for x using the triangular factors: Ly = b, Ux = y ...
Loop nest optimization. Global optimization within a function scope. ... Optimizes loop nests rather than just inner loops, i.e. inverts indices, etc. ...
higher-numbered neighbors. fill = # edges in G symmetric. Preorder ... Add fill edge a - b if there is a path from a to b through lower-numbered vertices. ...
Available for virtually all UNIX platforms, as well as Windows 95/NT ... Mesh and discretization tools (overture, SAMRAI) ODE solvers (PVODE) Others (Matlab, ParMETIS) ...
Provide quick simulations for tight design loop. Use structural elements like beams and ... Optical measurement facilities provided by Muller's Matisse group ...
Mesh Parameterization: Theory and Practice. Making it work in practice - Numerics ... Discrete fairing [Kobbelt98, Mallet95] Parameterization [Desbrun02] Deformations ...
Linear Solvers Grant Kickoff Meeting, 9/26/06. ... of parallel sparse linear system solvers. ... Engineering problems usually produce large sparse linear systems ...
Title: Support-Graph Preconditioning Author: John R. Gilbert Last modified by: John Gilbert Created Date: 10/5/1998 10:15:03 PM Document presentation format
Alice Agogino, Zhaojun Bai, James Demmel, Sanjay Govindjee, Ming Gu, Kristofer S. ... Optical measurement facilities provided by Muller's Matisse group ...
BIPS NERSC 5 BIPS Analyzing HPC Communication Requirements Shoaib Kamil , Lenny Oliker, John Shalf, David Skinner jshalf@lbl.gov NERSC and Computational Research Division
Parallel Sparse Operations in Matlab: Exploring Large Graphs John R. Gilbert University of California at Santa Barbara Aydin Buluc (UCSB) Brad McRae (NCEAS)
Sparse Direct Solvers for Ax= b. Automatic Performance Tuning of Sparse Kernels ... Antoine Petitet, UT. Ken Stanley, UCB. David Walker, Cardiff U. Clint Whaley, UT ...
Open source: GNU Lesser License. Web site: http://software.sandia.gov/trilinos ... Teuchos (ParameterList class only) TriUtils. Galeri. Thyra (early development stage) ...
Overture. Global Arrays. PAWS. SILOON. Globus. CUMULVS. TAU. PyACTS. View_field(T1) Proposed Project ... And ACTS tools are now being widely used by ...
... more participants (not all!) Jack Dongarra, U. Tennessee. Kathy Yelic, ... Using a red-black algorithm, titanium arrays (191 Mflops) are faster than Java arrays ...
The magic: Short recurrences. . . A is symmetric = can get next residual and direction ... Partition / reorder matrix to reduce communication. x. y. P0. P1. P2 ...
Christian Bell, Dan Bonachea, Wei Chen, Jason Duell, Paul Hargrove, Parry Husbands, Costin Iancu, Rajesh Nishtala, Michael Welcome. 2. Kathy Yelick. Titanium and UPC ...
... factorization than GP (~4x) ... Supernode = group of adjacent columns of L with ... over GP column-column. 22 matrices: Order 765 to 76480; GP factor time ...
Mammography is low-cost and routinely used across the country ... Stefan Carp. Juliette Selb. Elizabeth Hillman. Sol Diamond. Phill Jones. Danny Joseph. Ted Hupper ...
Ray Tuminaro. Marzio Sala ... Other smoothers used within each projection step. Aztec solvers ... New options with ML 3.0. Graph-based aggregation 'parameter ...
Includes common core set of vector, graph and matrix classes (Epetra) ... Focused on important and state-of-the-art algorithms in its problem regime. ...