Nearly-Linear Work Parallel SDD Solvers, Low-Diameter Decomposition, and Low-Stretch Subgraphs

We present the design and analysis of a nearly-linear work parallel algorithm for solving symmetric diagonally dominant (SDD) linear systems. On input an SDD n -by- n matrix A with m nonzero entries and a vector b , our algorithm computes a vector such that in work and depth for any θ >0, where A...

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Vydané v:	Theory of computing systems Ročník 55; číslo 3; s. 521 - 554
Hlavní autori:	Blelloch, Guy E., Gupta, Anupam, Koutis, Ioannis, Miller, Gary L., Peng, Richard, Tangwongsan, Kanat
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Boston Springer US 01.10.2014 Springer Nature B.V
Predmet:	Algorithms Approximation Computer architecture Computer Science Decomposition Graph theory Linear programming Linear systems Mathematical analysis Solvers Studies Theory of Computation Vectors (mathematics) United States > US Linear systems Low-stretch spanning trees Low-diameter decomposition Low-stretch subgraphs Parallel algorithms
ISSN:	1432-4350, 1433-0490
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