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Dynamic Distributed Scheduling to accomodate both numerical fill-in and ... The authors are Patrick Amestoy, Jean-Yves L'Excellent, Iain Duff and Jacko Koster. ...
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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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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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techniques algorithms and software for the direct solution of large sparse linear equations
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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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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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Eigenvalue Problems in Nanoscale Materials Modeling Hong Zhang Computer Science, Illinois Institute of Technology Mathematics and Computer Science, Argonne National ...
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... and Montenegro. 2. Physical ... of Serbia and Montenegro. 10. Sub-spaces of ... of Serbia and Montenegro. 16. Markowitz algorithm. most commonly used and ...
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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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There are a number of critical welds vulnerable to reheat cracking, see 12.3, 12.8 and12.4 ... Showed the small variation in temperature around the weld. Conclusions ...
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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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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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Susan Blackford, UT. Jaeyoung Choi, Soongsil U. Andy Cleary, LLNL. Ed ... Jack Dongarra, UT/ORNL. Sven Hammarling, NAG. Greg Henry, Intel. Osni Marques, NERSC ...
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... 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 ...
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Dense A: Gaussian elimination with partial pivoting (LU) See Jim Demmel's s ... A column layout of the matrix eliminates the broadcast ...
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Milan D. Mihajlovic. School of Computer Science. The University of Manchester. Acknowledgements ... Alexandre Klimowicz final year PhD student for all the ...
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Iterative methods (sparse matrix storage) ... Iterative method. A large number of eigensolutions ... Iterative method multiple shift-and-invert robusness ...
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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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Solve Ax=b by block back substitution. Irreducible (strong Hall) ... nonzero structure of B to make factoring ... s(A, B) = max{? : Ax = ?Bx} = ?max(A, B) ...
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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 ...
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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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From Iain Duff. CERFACS & RAL. Introduction. Solution of. Ax = b ... since 1996 : Patrick Amestoy, Iain Duff, Abdou Guermouche, Jacko Koster, ...
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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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Permutation Matrix or Ordering. Thus ordering to reduce fill or to ... Choose permutation matrix P so that Cholesky factor L' of PAPT has less fill than L. ...
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Clathrate(cage-like) : Si (fcc), Si(sc) Inner core made of the Si clathrate structure consisting of ... Middle: Clathrate structure with 34 atoms basis, fcc. ...
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Integrating the Parcel Fabric Model for a More Efficient Workflow BY: ROBERT MUELLER DIRECTOR OF THE STATE LAND OFFICE RMUELLER@DNR.IN.GOV Courtesy : http://www.hmdb.org/
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Using Lincoln Labs serial Matlab generator at present ... Different algorithm from Lincoln Labs executable spec, which uses seed-growing ...
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The backward substitution can be finally run in parallel, over each subdomain ... But in current subdomain there is no element having this entire edge ...
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Network and Server Attacks and Penetration. Chapter 12. Security Control ... Crackers can often find paths to penetrate a network internally through jacks or ...
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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 ...
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Fast Monte Carlo algorithms for finding. low-rank approximations [Frieze, Kannan, Vempala] ... if coin flip yields heads or BFS has reached at least w vertices ...
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Subdomain. DomainPartitioner. GraphPartitioner. Metis. Zoltan. NonlinearBeamColumn. BeamWithHinges ... { Subdomain *theSub = new ShadowSubdomain(i, theMachine) ...
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