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1 Vorlesung Informatik 2 Algorithmen und Datenstrukturen (Parallel Algorithms) Robin Pomplun

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2 Overview A simple parallel algorithm Analysis of parallel algorithms The PRAM model The SIMD model A parallel Search Algorithm A Fast Merging Algorithm An efficient Sorting Algorithm

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3 A simple parallel algorithm

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4 Analysis of parallel algorithms

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5 (Sequential lower bound)

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6 A work-optimal algorithm

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8 The PRAM Model

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10 Classification of the PRAM model

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11 Classification of the PRAM model

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12 Models of parallel computation

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13 The SIMD model

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14 Design Issues

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15 Architectures Hypercube

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16 Adding n numbers on the mesh

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17 Adding n numbers on the hypercube

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18 Parallel Searching, Merging and Sorting

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19 A parallel search algorithm

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20 Example

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21 Example

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22 Example

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23 A parallel merge algorithm

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24 A parallel merge algorithm

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25 Ranking a short sequence in a sorted sequence

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26 A fast merging algorithm

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27 A fast merging algorithm

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28 Ranking a sample of elements

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29 A fast merging algorithm

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30 A fast merging algorithm

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31 A example

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32 A fast merging algorithm

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33 Complexity

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34 An optimal merging algorithm

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35 Taking the samples

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36 An efficient sorting algorithm

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37 The sequential merge sort algorithm

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38 An efficient sorting algorithm

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39 ENDE Danke für Ihre Aufmerksamkeit !!!

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