PPT-Parallel Direct Methods for Sparse Linear Systems

Author : tatiana-dople | Published Date : 2018-09-21

Contents Problem Statement Motivation Types of Algorithms Sparse Matrices Methods to solve Sparse Matrices Problem Statement Problem Statement The solution

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Parallel Direct Methods for Sparse Linear Systems: Transcript

Contents Problem Statement Motivation Types of Algorithms Sparse Matrices Methods to solve Sparse Matrices Problem Statement Problem Statement The solution of the linear system is the values of the unknown vector . Volkan . Cevher. volkan.cevher@epfl.ch. Laboratory. for Information . . and Inference Systems - . LIONS. . http://lions.epfl.ch. Linear Dimensionality Reduction. Compressive sensing. non-adaptive measurements. Circulant. Linear Systems with Applications to Acoustics. Suzanne Shontz, University of Kansas . Ken . Czuprynski. , University of . Iowa. John . Fahnline. , Penn State. EECS 739: Scientific Parallel Computing. From Theory to Practice . Dina . Katabi. O. . Abari. , E. . Adalsteinsson. , A. Adam, F. . adib. , . A. . Agarwal. , . O. C. . Andronesi. , . Arvind. , A. . Chandrakasan. , F. Durand, E. . Hamed. , H. . to Multiple Correspondence . Analysis. G. Saporta. 1. , . A. . . Bernard. 1,2. , . C. . . Guinot. 2,3. 1 . CNAM, Paris, France. 2 . CE.R.I.E.S., Neuilly sur Seine, France. 3 . Université. . François Rabelais. J. Friedman, T. Hastie, R. . Tibshirani. Biostatistics, 2008. Presented by . Minhua. Chen. 1. Motivation. Mathematical Model. Mathematical Tools. Graphical LASSO. Related papers. 2. Outline. Motivation. Aditya. Chopra and Prof. Brian L. Evans. Department of Electrical and Computer Engineering. The University of Texas at Austin. 1. Introduction. Finite Impulse Response (FIR) model of transmission media. Richard Peng. M.I.T.. Joint work with Dan Spielman (Yale). Efficient Parallel Solvers for SDD Linear Systems. Richard Peng. M.I.T.. Work in progress with . Dehua. Cheng (USC),. Yu Cheng (USC), . Yintat. . Michael Elad. The Computer Science Department. The Technion – Israel Institute of technology. Haifa 32000, Israel. MS45: Recent Advances in Sparse and . Non-local Image Regularization - Part III of III. Tianzhu . Zhang. 1,2. , . Adel Bibi. 1. , . Bernard Ghanem. 1. 1. 2. Circulant. Primal . Formulation. 3. Dual Formulation. Fourier Domain. Time . Domain. Here, the inverse Fourier transform is for each . Dense A:. Gaussian elimination with partial pivoting (LU). Same flavor as matrix * matrix, but more complicated. Sparse A:. Gaussian elimination – Cholesky, LU, etc.. Graph algorithms. Sparse A:. Richard Peng. M.I.T.. Joint work with Dan Spielman (Yale). Efficient Parallel Solvers for SDD Linear Systems. Richard Peng. M.I.T.. Work in progress with . Dehua. Cheng (USC),. Yu Cheng (USC), . Yintat. Dr Susan Cartwright. Dept of Physics and Astronomy. University of Sheffield. Parallel Universes. Are you unique?. Could there be another “you” differing only in what you had for breakfast this morning?. Vimal Singh, . Ahmed H. Tewfik. The University of Texas at Austin. 1. Outline. Introduction. Algorithm. Results. Conclusions. 2. Introduction. Algorithm. Results. Conclusions. Significance. Fast magnetic resonance . Michael A. Heroux. Director of Software Technology, Exascale Computing Project. Senior Scientist, Sandia National Laboratories. Numerical algorithms for . highperformance. computational science. London, UK.

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