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. 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. Teacher Professional . Development. Building Resilience in Children and Young People. Problem-Solving. Why Teach Problem- Solving?. The coping repertoire of children and adolescents includes their problem-solving competencies and skills. 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. Ben Lilly. Objectives. Learn a systematic problem solving process. Understand the relationship between Problem Solving and Project Planning . Learn a Decision Making Process. Put into action the skills the principles you have learned . Olivia Sheridan, Deanna Fugate, . and Sarah Oberman. Classic Problems and General Methods of Solution. Five . categories of problem solving . techniques. Domain-independent. Problem Solving Techniques. Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. Solving an Absolute Value Equation. You have already used graphs and mental math to solve some absolute value equations. For instance:. 8 and -8. This has two solutions:. Solving an Absolute Value Equation. 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”). 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?. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . 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. : active efforts to discover what must be done to achieve a goal that is not readily attainable. TYPES OF PROBLEMS. Problems of inducing structure. : relations among numbers, words, symbols, ideas. Problems of arrangement. 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.