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» Updating an LU Factorization with Pivoting
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SIAMNUM
2010
114views more  SIAMNUM 2010»
14 years 6 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
15 years 5 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»
14 years 11 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
15 years 1 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
15 years 3 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...