PPT-CS 240A: Solving Ax = b in parallel

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. Unlike sequential algorithms parallel algorithms cannot be analyzed very well in isolation One of our primary measures of goodness of a parallel system will be its scalability Scalability is the ability of a parallel system to take advantage of incr Dr. Guy Tel-. Zur. Lecture 10. Agenda. Administration. Final presentations. Demos. Theory. Next week plan. Home assignment #4 (last). Final Projects. Next Sunday: Groups 1-1. 6. will present. Next Monday: Groups 1. Breadth-first search in . Cilk. ++. Thanks to . Charles E. . Leiserson. for . some of . these slides. Breadth First Search. Level-by-level graph traversal. Serially complexity:. . Θ. (m+n). 1. 2. 3. Multicore and NUMA architectures. Multithreaded Programming. Cilk++ as a concurrency platform. Work and Span. Thanks to . Charles E. Leiserson for some of these slides. Multicore Architecture. Programming & Cluster Computing. Applications and. Types of Parallelism. Joshua Alexander, U Oklahoma. Ivan . Babic. , Earlham College. Michial. Green, Contra Costa College. Mobeen. . Ludin. , Earlham College. Nishant Totla. , . Aditya. . Devarakonda. , . Sanjit. . Seshia. SAT Solving. Given a propositional logic formula in conjunctive normal form (CNF), does there exist a satisfying assignment?. . with . OpenMP. © Dan Negrut, . 2012. UW-Madison. Dan Negrut. Simulation-Based Engineering . Lab. Wisconsin Applied Computing Center. Department of Mechanical . Engineering. Department of . Electrical and Computer Engineering. SAT/SMT Summer School 2014. Parallel SAT. Motivation. Technical. Clock frequency has hit the thermal wall. Multicore CPUs to cope with it. Algorithmic. Sequential SAT seems hard to improve . SAT applied to ever harder problems. Matrix multiplication I : parallel issues. Matrix multiplication II: cache issues. Thanks to Jim Demmel and Kathy Yelick (UCB) for some of these slides. Matrix-Matrix . Multiplication (“DGEMM”). Many slides drawn from Lana . Lazebnik. , UIUC. Basic stereo matching algorithm. For each pixel in the first image. Find corresponding . epipolar. line in the right image. Examine all pixels on the . 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?. Multicore and NUMA architectures. Multithreaded Programming. . Cilk. as a concurrency platform. . Work, Span, (potential) Parallelism. Thanks to . Charles E. Leiserson for some of these slides. Multicore and NUMA architectures. Multithreaded Programming. Cilk as a concurrency platform. Work and Span. Thanks to . Charles E. Leiserson for some of these slides. Multicore Architecture. AF Practical Problem Solving Model (PPSM). 8 Step . Model. Overview. Objective. Help Airmen focus on problem solving skills that affect:. Mission. Workcenters. People. Approach aimed at:. Increasing combat capability.