Reducing Data Movement in a Block Variant of GMRES. February ... Use BLAS library (_GEMM) or. Hand-code with loop unrolling. Freeware. Flexible and experimental ...
In previous lesson, we learned some basic knowledge of high ... Jacobi, Gauss-Seidel. Not robust, not efficient. Multigrid, Krylov subspace(CG, GMRES) ...
Power iteration and power Gauss-Seidel iteration are applied in KIKO3D code. ... standard large sparse techniques, where Gauss-Seidel preconditioning and a GMRES ...
... Microsoft Word Picture Overview of Talk Related Work Inverse Geomagnetic Problems Inverse Acoustic Problems Image Restoration Problems Model Problem and ...
Singular and Solvability Check. Spectrum with a zero eigenvalue. Strategy I: Fix one point ... Solvability check: (b,e)=0, Re-orthogonalization: b=b-(b,e)/(e,e) ...
Large-Scale Methods in Inverse Problems Per Christian Hansen Informatics and Mathematical Modelling Technical University of Denmark With contributions from:
Avoiding Communication. in. Linear Algebra. Jim Demmel. UC Berkeley. bebop. ... Dunha, Becker & Patterson (2002) Gunter & van de Geijn (2005) Our contributions ...
A Solenoidal Basis Method For Efficient Inductance ... Preconditioned solenoidal method is very effective for linear systems in inductance extraction ...
Avoiding Communication. in. Linear Algebra. Jim Demmel. UC ... Gunter & van de Geijn (2005) Our contributions. QR: 2D parallel, efficient 1D parallel QR ...
Algorithms that attain them (all dense linear algebra, some sparse) ... Can we attain these lower bounds? Do conventional dense algorithms as implemented in ...
Avoiding Communication. in. Linear Algebra. Jim Demmel. UC Berkeley. bebop.cs.berkeley.edu ... Compute Householder vector for each column. Number of messages n log P ...
PiCAP: A Parallel and Incremental Capacitance Extraction Considering Stochastic Process Variation Fang Gong1, Hao Yu2, and Lei He1 1Electrical Engineering Dept., UCLA
Fast Method of Fundamental Solution Xinrong Jiang, PhD candidate Wen Chen, Prof. C.S. Chen, Prof. NTU, Dec. 8, Taipei Hohai University Outline Motivation Methodology ...
Solved by preconditioned Krylov subspace methods ... Preconditioned solenoidal method is very effective for linear systems in inductance extraction ...
... the integral equation using a composite trapezoid method gives the linear system ... In order to solve for the solution u to the problem Au = ui we can use the ...
Goal: Algorithms that communicate as little as possible for: ... Grey Ballard, UCB EECS. Ioana Dumitriu, U. Washington. Laura Grigori, INRIA. Ming Gu, UCB Math ...
Title: PowerPoint Presentation Author: Princeton Affiliate Last modified by: Yannis G. Kevrekidis Created Date: 11/12/2002 6:34:54 PM Document presentation format
... Testing is underway using an SGI Power Challenge (ANL), and SGI/CRAY T3E ... Results courtesy of Dinesh Kaushik and David Keyes, Old Dominion University. 13 ...
CSE 245: Computer Aided Circuit Simulation and Verification Matrix Computations: Iterative Methods (II) Chung-Kuan Cheng Error and Convergence Definition: error e = x ...
Linear Solvers Grant Kickoff Meeting, 9/26/06. ... of parallel sparse linear system solvers. ... Engineering problems usually produce large sparse linear systems ...
Sandia is a multiprogram laboratory operated by Sandia Corporation, a ... Expat / libxml2. StringInputSource. FileInputSource. StringInputSource src(str) ...
Available for virtually all UNIX platforms, as well as Windows 95/NT ... Mesh and discretization tools (overture, SAMRAI) ODE solvers (PVODE) Others (Matlab, ParMETIS) ...
Automatic Performance Tuning and Sparse-Matrix-Vector-Multiplication (SpMV) James Demmel www.cs.berkeley.edu/~demmel/cs267_Spr10 * TO DO: Replace this with ex11 spy ...
[Frigo, Leiserson, Prokop, Ramachandran,99] CS267 Lecture 2 ... some redundant computation Much prior work See bebop.cs ... Sun Ultra2 Model 2200. SGI ...
This document is the property of the EUCLID 3MAV Consortium ; ... Bas e sur un d coupage 3D de l'objet ... Base sur un d coupage 3D r cursif de l'objet. Page 10 ...
Continuation Methods for Performing Stability Analysis of Large-Scale Applications LOCA: Library Of Continuation Algorithms Andy Salinger Roger Pawlowski, Louis ...
1 van Duin et al , J. Phys. Chem. A, 105, 9396 (2001) Bond order interaction ... The van der Waals interactions are modeled using distance corrected Morse potential ...
Stability Analysis Algorithms for Large-Scale Applications Andy Salinger, Roger Pawlowski, Ed Wilkes Louis Romero, Rich Lehoucq, John Shadid Sandia National Labs
x(k 1) =x(k) akp(k) where computation involves information that change at each iteration ... of the solution(GS,Jacob) is that the matrix M is diagonally dominant. ...
Molecular simulation methods. Ab-initio methods (Few approximations but slow) ... Molecular topologies are fixed so the bonded interactions are implemented as ...
Unstructured Mesh Related Issues In Computational Fluid Dynamics (CFD) Based Analysis And Design Dimitri J. Mavriplis ICASE NASA Langley Research Center
Fast BEM Algorithms for 3D Interconnect Capacitance and Resistance Extraction. Wenjian Yu. EDA Lab, Dept. Computer Science & Technology, Tsinghua University ...
Electromagnetic Field Theory II (NFT II) Numerische Methoden der ... [x,flag,relres,iter] = cgs(A,b,...) [x,flag,relres,iter,resvec] = cgs(A,b,...) 11 ...
Sandia is a multiprogram laboratory operated by Sandia Corporation, a ... incorporates our new methods and a few other methods (Elman, Silvester, Ramage) ...
Construct 'Jacobian' Use MRILU to construct corresponding preconditioner M-1. ... Dependencies for Jacobian matrix for construction of preconditioner. ...
Title: Aucun titre de diapositive Author: H. PAILLERE Last modified by: FD144363 Created Date: 2/7/2001 10:09:26 AM Document presentation format: Affichage l' cran
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Builds a map (graph) an array of integers corresponding to nonzero row/column entries ... Global Map (graph) details which processor owns which entries ...