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» Parallel matrix algorithms and applications
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CORR
2011
Springer
198views Education» more  CORR 2011»
13 years 4 months ago
Kron Reduction of Graphs with Applications to Electrical Networks
Abstract. Consider a weighted and undirected graph, possibly with self-loops, and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements correspon...
Florian Dörfler, Francesco Bullo
PPL
2002
83views more  PPL 2002»
13 years 9 months ago
Trading Replication for Communication in Parallel Distributed-Memory Dense Solvers
We present new communication-efficient parallel dense linear solvers: a solver for triangular linear systems with multiple right-hand sides and an LU factorization algorithm. Thes...
Dror Irony, Sivan Toledo
AMC
2010
175views more  AMC 2010»
13 years 10 months ago
An inexact parallel splitting augmented Lagrangian method for large system of linear equations
: Parallel iterative methods are powerful tool for solving large system of linear equations (LEs). The existing parallel computing research results are focussed mainly on sparse sy...
Zheng Peng, DongHua Wu
CVPR
2010
IEEE
13 years 8 months ago
Efficient computation of robust low-rank matrix approximations in the presence of missing data using the L1 norm
The calculation of a low-rank approximation of a matrix is a fundamental operation in many computer vision applications. The workhorse of this class of problems has long been the ...
Anders Eriksson, Anton van den Hengel
IPPS
2000
IEEE
14 years 2 months ago
On Optimal Fill-Preserving Orderings of Sparse Matrices for Parallel Cholesky Factorizations
In this paper, we consider the problem of nding llpreserving ordering of a sparse symmetric and positive de nite matrix such that the reordered matrix is suitable for parallel fac...
Wen-Yang Lin, Chuen-Liang Chen