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MST
2010
146views more  MST 2010»
7 years 11 months ago
The Cache-Oblivious Gaussian Elimination Paradigm: Theoretical Framework, Parallelization and Experimental Evaluation
We consider triply-nested loops of the type that occur in the standard Gaussian elimination algorithm, which we denote by GEP (or the Gaussian Elimination Paradigm). We present tw...
Rezaul Alam Chowdhury, Vijaya Ramachandran
COLOGNETWENTE
2010
8 years 3 months ago
Bisimplicial Edges in Bipartite Graphs
Bisimplicial edges in bipartite graphs are closely related to pivots in Gaussian elimination that avoid turning zeroes into non-zeroes. We present a new deterministic algorithm to...
Matthijs Bomhoff, Bodo Manthey
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
8 years 8 months ago
On the Worst-case Complexity of Integer Gaussian Elimination
Gaussian elimination is the basis for classical algorithms for computing canonical forms of integer matrices. Experimental results have shown that integer Gaussian elimination may...
Xin Gui Fang, George Havas
INFOCOM
2008
IEEE
8 years 10 months ago
AdapCode: Adaptive Network Coding for Code Updates in Wireless Sensor Networks
—Code updates, such as those for debugging purposes, are frequent and expensive in the early development stages of wireless sensor network applications. We propose AdapCode, a re...
I-Hong Hou, Yu-En Tsai, Tarek F. Abdelzaher, Indra...

Lecture Notes
4505views
10 years 2 months ago
Numerical Methods Course Notes
"These notes were originally prepared during Fall quarter 2003 for UCSD Math 174, Numerical Methods."
Steven E. Pav
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