Parallel Programming: for Multicore and Cluster Systems- P38 ppsx

... distribution of matrix A and a column-oriented pivoting. One step of the forward elimination computing A (k+1) and b (k+1) for given A (k) and b (k) performs the following computation and communication ... matrix A and different right-hand side vectors b without repeating the elimination process. 7.1.1.2 Pivoting Forward elimination and LU decomposition require the division by a...

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... relevant for modern and future mul- ticore processors. The second part presents parallel programming models, performance models, and parallel programming environments for message passing and shared ... WaitandNotify 320 6.2.4 Extended Synchronization Patterns . . 326 Thomas Rauber · Gudula R ¨ unger Parallel Programming For Multicore and Cluster Systems 123 vi Preface...

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... of single systems and provide an abstract view for the design and analysis of parallel programs. 3.1 Models for Parallel Systems In the following, the types of models used for parallel processing ... assignments of Fortran 90/95, see [49, 175, 122]. Other examples for data -parallel programming languages are C* and data -parallel C [82], PC++ [22], DINO [151], and High...

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... directions. For real parallel systems, this property is usually fulfilled. 4.2 Performance Metrics for Parallel Programs 165 4.2.2 Scalability of Parallel Programs The scalability of a parallel program ... operations must be performed, and different load balancing may result, leading to different parallel execution times for different program versions. Analytical modeling can...

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... mes- sages received in phase 2. The phases 1 and 2 can be performed simultaneously and take time 2 d . Phase 3 has to be performed after phase 2 and takes time ≤ 2 d − 1. In summary, the time 2 d +2 d −1 ... 2 d+1 −1 results. 4.4 Analysis of Parallel Execution Times The time needed for the parallel execution of a parallel program depends on • the size of the input data n, and...

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... 2, ,n , b (0) i = b i for i = 1, ,n , c (0) i = c i for i = 1, ,n − 1 , y (0) i = y i for i = 1, ,n . and a (0) 1 = 0, c (0) n = 0. Also, for the steps k = 0, ,log n and i ∈ Z \{1, ,n} the ... Methods for Linear Systems with Banded Structure 389 with the coefficients (7.24). The cases k = 1, 2 are special cases of this formula. The initialization for k = 0 is the following: a...

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... corresponding implementation. Fig. 7.28 Parallel supernodal algorithm 7.6 Exercises for Chap. 7 Exercise 7.1 For an n ×m matrix A and vectors a and b of length n write a parallel MPI program which computes ... D.E. Culler, A.C. Dusseau, R.P. Martin, and K.E. Schauser. Fast Parallel Sorting Under LogP: From Theory to Practice. In Portability and Performance for Parallel P...

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