Parallel Merge Sort
Parallel Merge Sort
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In our eReader you can find the full English version of the book. Read Parallel Merge Sort Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Parallel Merge Sort
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2. The CREW Algorithm By way of motivation, let us consider the natural tree-based merge sort. Consider an algorithm for sorting n numbers. For simplicity, suppose that n is a power of 2, and all the items are distinct. The algorithm will use an n-leaf complete binary tree. Initially, the inputs are distributed one per leaf. The task, at each internal node u of the tree, is to com- pute the sorted order for the items initially at the leaves of the subtree rooted at u. The Ultracomputer Note 115... Page 2 computation proceeds up the tree, level by level, from the leaves to the root, as follows. At each node we compute the merge of the sorted sets computed at its children. Using the O(loglogn) time, n processor merging algorithm of Valiant, will yield an O(lognloglogn) time, n processor sorting algorithm. In fact, we know there is an n(loglogn) time lower bound for merging two sorted arrays of n items using n processors [BH-82], thus we do not expect this approach to lead to an O(logn) time, n processor sorting algorithm.
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You can find similar books in the "Read Also" column, or choose other free books by Richard Cole to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2. The CREW Algorithm By way of motivation, let us consider the natural tree-based merge sort. Consider an algorithm for sorting n numbers. For simplicity, suppose that n is a power of 2, and all the items are distinct. The algorithm will use an n-leaf complete binary tree. Initially, the inputs are distributed one per leaf. The task, at each internal node u of the tree, is to com- pute the sorted order for the items initially at the leaves of the subtree rooted at u. The Ultracomputer Note 115... Page 2 computation proceeds up the tree, level by level, from the leaves to the root, as follows. At each node we compute the merge of the sorted sets computed at its children. Using the O(loglogn) time, n processor merging algorithm of Valiant, will yield an O(lognloglogn) time, n processor sorting algorithm. In fact, we know there is an n(loglogn) time lower bound for merging two sorted arrays of n items using n processors [BH-82], thus we do not expect this approach to lead to an O(logn) time, n processor sorting algorithm.
What to read after Parallel Merge Sort?
You can find similar books in the "Read Also" column, or choose other free books by Richard Cole to read onlineMoreLess
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