Ömer Eǧecioǧlu
University of California, Santa Barbara
5 Papers
31 Citations
Ömer Eǧecioǧlu is an academic researcher from University of California, Santa Barbara. The author has contributed to research in topics: Range query (data structures) & Parallel algorithm. The author has an hindex of 4, co-authored 5 publications.
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Papers
A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors
TL;DR: A limited processor version of the recursive doubling algorithm for the solution of tridiagonal linear systems using O( n / p + log p ) parallel arithmetic steps on a parallel computer with p n processors.
46
Parallel prefix computation with few processors
Ömer Eǧecioǧlu,Çetin Kaya Koç +1 more
TL;DR: The algorithm is compared with the distributed-memory implementation of the parallel prefix algorithm proposed by Kruskal, Rudolph, and Snir and is shown to be more efficient when n is large and p 2 (p − 1) ≤ 4 τ .
21
Naming symmetric processes using shared variables
Ömer Eǧecioǧlu,Ambuj K. Singh +1 more
TL;DR: A randomized protocol that assigns distinct ids to the processes within an expected polynomial number of rounds using a polynometric number of boolean atomic variables is presented.
20
Optimal data-space partitioning of spatial data for parallel I/O
TL;DR: It is shown that hexagonal partitioning has optimal I/O performance for circular queries among all partitioning methods that use convex non-overlapping regions, and parallel storage and retrieval algorithms for hexagonal partitions can be constructed by using current algorithms for rectangular grid partitioning.
8
Reducing the Complexity of Normal Basis Multiplication
Ömer Eǧecioǧlu,Çetin Kaya Koç +1 more
- 26 Sep 2014
TL;DR: In this article, the authors introduce a new transformation method and a multiplication algorithm for multiplying the elements of the field GF\((2^k) expressed in a normal basis, which is more suitable for applications in which tens or hundreds of field multiplications are performed before needing to transform the results back.