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Currently use conventional optic fibres. Began in the 60's, first used in the 80's ... Real Component 'Normal' refractive index e.g. Snell's Law ...
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Weighted Matrix Reordering and Parallel Banded Preconditioners for ... (AMD dual core) 33. 21. 11. 5. 2.5. 1.4. Reservoir Simulation #1. Reservoir Simulation #1 ...
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Finding Rightmost Eigenvalues of Large, Sparse, Nonsymmetric Parameterized ... It converges to well separated extremal eigenvalues, not. rightmost eigenvalues ...
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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 ...
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if as expected nonsinusoidal & in phase with f. and symmetric w.r.t. to e ... Exciting current nonsinusoidal & nonsymmetric. Wave Shape of Exciting Current ...
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(Demos in Matlab) nonsymmetric LU. dmperm, dmspy, components. Matching and block triangular form ... More General. D (Demos in Matlab) conjugate gradients ...
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finite element method finite element method finite element ... simultaneous implicit euler backward finite element method newton raphson iteration gateaux ...
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Axial Power Input in Photocathode Electron Guns D. Janssen, FZR, Germany, V. Volkov, BINP, Novosibirsk, Russia, New SRF Gun Cavity design New SRF Gun Cavity ...
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... Galerkin Finite element Galerkin ... 2D-Interpolation Functions Linear element Bilinear ... once Other problems Diffusion Heat ...
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... (11.5 1.2) mM Formal standard ... . - If [E] is in fact important in the sense that it could affect your Kiapp (
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(chromatic aberration) (astigmatism) Spherical Aberrations( ) Spherical Aberrations( ) Spherical Aberrations ...
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Symmetrized WATT. 128 positive eigenvalues. 1728 negative eigenvalues ... Symmetrized WATT already has the max weight matching of 1x1 pivots on its diagonal! ...
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Columns may be preordered for sparsity. Rows permuted by partial pivoting (maybe) ... Supernode = group of (contiguous) factor columns with nested structures ...
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Importance = stationary distribution of Markov process. ... Stationary distribution. of a Markov chain. Power method: matvec. and vector arithmetic ...
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[From Lecture 7] Current trends: [A very rough view] Volatility up, down and the reasons? Term structure of interest rates. Currency premium? How to reduce volatility? ...
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Title: Paired Data and Inferences on Popn Variances Subject: STA 6166 Author: Portier, Kenneth Last modified by: atrindad Created Date: 1/4/1999 1:49:36 PM
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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 ...
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Polyhedral Mimetic Finite Difference (MFD) Method ... Mimetic Methods for Partial Differential Equations and Applications (Yu. ...
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Stationary distribution. of a Markov chain. Power method: matvec. and vector arithmetic ... Importance = stationary distribution of Markov process. ...
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Minimum degree: Eliminate row/col with fewest nzs, add fill, repeat ... [p, q, r] = dmperm(A); A(p,q) has nonzero diagonal and is in block upper triangular form ...
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Compute B-1z by triangular solves (in time nnz(A) ... Triangular solves are not very parallel. Reordering for parallel triangular solve by graph coloring ...
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CSE 245: Computer Aided Circuit Simulation and Verification Fall 2004, Oct 19 Lecture 7: Matrix Solver II-Iterative Method
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condition number usually improves (only) by constant factor (except MIC for some ... still, often good when tuned for a particular class of problems. Parallelism ...
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Sum own row/col of A with children's Update matrices into Frontal matrix. Eliminate current variable from Frontal matrix, to get Update matrix ...
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... 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 ...
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Algorithms for a large sparse nonlinear eigenvalue problem Yusaku Yamamoto Dept. of Computational Science & Engineering Nagoya University Outline Introduction ...
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CSE 245: Computer Aided Circuit Simulation and Verification Matrix Computations: Iterative Methods (II) Chung-Kuan Cheng Error and Convergence Definition: error e = x ...
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Symmetric Weighted Matching for Indefinite Systems. Iain Duff, RAL and CERFACS ... D is block diagonal with small symmetric blocks ...
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xk = xk-1 ak pk-1 approx solution. rk = rk-1 ak Apk-1 residual ... still, often good when tuned for a particular class of problems. Parallelism ...
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... of x by depth-first search from nonzeros of b ... dfs in G(LT) to predict nonzeros of x; x(1:n) = b(1:n) ... Depth-first search calls 'visit' once per flop ...
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Motivation for new Sca/LAPACK. Challenges (or research opportunities...) Goals of new Sca/LAPACK ... van de Geijn/Quintana-Orti, Howell / Fulton, Bischof / Lang ...
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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 ...
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Diffusion Tensor Processing and Visualization
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A Look-Back Technique of Restart for the GMRES(m) Method Akira IMAKURA Tomohiro SOGABE Shao-Liang ZHANG Nagoya University, Japan.
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a specific penalization method ... Hauret Le Tallec (2004): Specific penalization of the unilateral contact law which permits ...
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CS267 Lecture 15 Automatic Performance Tuning and Sparse-Matrix-Vector-Multiplication (SpMV) James Demmel www.cs.berkeley.edu/~demmel/cs267_Spr14
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such that ri = (Axi b) Ki (A, b) Notice ri Ki 1 (A, b), so ri rj for all j i ... find xi Ki (A, b) such that ri = (Axi b) Ki (A, b) ...
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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. ...
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Completing the HPCS effort log and background questionnaire. is 5% of hw3 grade (for everyone) For your logs to count in the study you must print & give us a ...
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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
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Title: PowerPoint Presentation Author: james Last modified by: james stacey taylor Created Date: 4/18/2003 8:25:52 PM Document presentation format
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Blueprint Reading for the Machine Trades, Sixth Edition Unit 4: Reading Multiview Drawings
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Tuning becoming more difficult over time. Performance ... Statistical models of performance. BIPS. BIPS. Matrix-vector multiply kernel: y(i) y(i) A(i,j)*x(j) ...
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The magic: Short recurrences. . . A is symmetric = can get next residual and direction ... Partition / reorder matrix to reduce communication. x. y. P0. P1. P2 ...
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Based on lectures by James Demmel ... Graph Partitioning Laura Grigori and James Demmel www.cs.berkeley.edu/~demmel/cs267_Spr15
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Composites have found their place in aerospace and in the sporting goods industry, where they have d
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Experimental Techniques TUTORIAL 4 The interaction between electromagnetic waves and dielectric materials can be determined by broadband measurement techniques.
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http://www.cs.ucsb.edu/~gilbert/cs290. The Landscape of Sparse Ax=b Solvers. Direct ... One matrix-vector multiplication per iteration. Two vector dot products ...
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Gaussian peak at the streched CDW position. Broad region of the split off peak - Gauss in q1/2 ... Bare peak at q=0 becomes non-symmetric acquiring a width w=n ...
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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. ...
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Provides a working example for matrix-vector multiplication, using ScaLAPACK ... Reduce a symmetric matrix to tridiagonal form ...
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Chapter 10 Chemical Bonding
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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 ...
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Isotropic temperature factors correct for the fact that atoms in ... in coot) ... (show protein in coot) The figure at rights shows. which segments move when ...
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Read 'Computing the block triangular form of a sparse ... pivot: swap ujj and an elt of lj. scale: lj = lj / ujj. Column j of A becomes column j of L and U ...
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