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» Updating an LU Factorization with Pivoting
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SIAMNUM
2010
114views more  SIAMNUM 2010»
13 years 2 months ago
Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
We discuss and compare two greedy algorithms, that compute discrete versions of Fekete-like points for multivariate compact sets by basic tools of numerical linear algebra. The fi...
Len Bos, Stefano De Marchi, Alvise Sommariva, Marc...
PPAM
2007
Springer
14 years 1 months ago
A Supernodal Out-of-Core Sparse Gaussian-Elimination Method
Abstract. We present an out-of-core sparse direct solver for unsymmetric linear systems. The solver factors the coefficient matrix A into A = PLU using Gaussian elimination with pa...
Sivan Toledo, Anatoli Uchitel
MP
2008
115views more  MP 2008»
13 years 7 months ago
An efficient approach to updating simplex multipliers in the simplex algorithm
The simplex algorithm computes the simplex multipliers by solving a system (or two triangular systems) at each iteration. This note offers an efficient approach to updating the sim...
Jian-Feng Hu, Ping-Qi Pan
PDPTA
2008
13 years 9 months ago
A Parallel Processing Architecture for Solving Large-Scale Linear Systems
Solving linear systems with a large number of variables is at the core of many scienti c problems. Parallel processing techniques for solving such systems have received much attent...
Arun Nagari, Itamar Elhanany, Ben Thompson, Fangxi...
LCPC
1998
Springer
13 years 12 months ago
HPF-2 Support for Dynamic Sparse Computations
There is a class of sparse matrix computations, such as direct solvers of systems of linear equations, that change the fill-in (nonzero entries) of the coefficient matrix, and invo...
Rafael Asenjo, Oscar G. Plata, Juan Touriño...