NDLI: Matrix transpose on meshes with wormhole and XY routing

Content Provider	IEEE Xplore Digital Library
Author	Kuo-Shun Ding Ching-Tien Ho Jyh-Jong Tsay
Copyright Year	1994
Description	Author affiliation: Dept. of Comput. Sci. and Inf. Eng., Nat. Chung Cheng Univ., Chiayi, Taiwan (Kuo-Shun Ding; Ching-Tien Ho; Jyh-Jong Tsay)
Abstract	We give nearly optimal algorithms for matrix transpose on meshes with wormhole and XY routing and with a 1-port or 2-port communication model. For an N/spl times/N mesh, where N=3/spl middot/2/sup n/ and each mesh node has a submatrix of size m to be transposed, our algorithms take Nm/2 time steps for 1-port model, and about Nm/3.27 time steps for 2-port model. The lower bound is Nm/3.414. While there is no previously known algorithm for matrix transpose on meshes with wormhole and XY routing, a naive algorithm, which is naturally adapted from the well-known Recursive Exchange Algorithm, has a complexity of about Nm. That is our best algorithm improves over the naive algorithm by about a factor of 3.27, and is about a factor of 3.414/3.27 of the lower bound.
Starting Page	656
Ending Page	663
File Size	774147
Page Count	8
File Format	PDF
ISBN	0818664274
DOI	10.1109/SPDP.1994.346111
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-10-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Routing Hypercubes Computer science Mesh generation Circuits Whales Linear algebra Partial differential equations Computer architecture Concurrent computing
Content Type	Text
Resource Type	Article

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