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» Solving Linear Systems through Nested Dissection
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FOCS
2010
IEEE
13 years 9 months ago
Solving Linear Systems through Nested Dissection
Abstract--The generalized nested dissection method, developed by Lipton, Rose, and Tarjan, is a seminal method for solving a linear system Ax = b where A is a symmetric positive de...
Noga Alon, Raphael Yuster
COMPUTING
2007
103views more  COMPUTING 2007»
13 years 11 months ago
An algebraic approach for H-matrix preconditioners
Hierarchical matrices (H-matrices) approximate matrices in a data-sparse way, and the approximate arithmetic for H-matrices is almost optimal. In this paper we present an algebrai...
S. Oliveira, F. Yang
PC
2011
413views Management» more  PC 2011»
13 years 6 months ago
Exploiting thread-level parallelism in the iterative solution of sparse linear systems
We investigate the efficient iterative solution of large-scale sparse linear systems on shared-memory multiprocessors. Our parallel approach is based on a multilevel ILU precondit...
José Ignacio Aliaga, Matthias Bollhöfe...
SC
1994
ACM
14 years 3 months ago
A parallel formulation of interior point algorithms
In recent years, interior point algorithms have been used successfully for solving mediumto large-size linear programming LP problems. In this paper we describe a highly parallel ...
George Karypis, Anshul Gupta, Vipin Kumar
NAACL
2010
13 years 9 months ago
Efficient Parsing of Well-Nested Linear Context-Free Rewriting Systems
The use of well-nested linear context-free rewriting systems has been empirically motivated for modeling of the syntax of languages with discontinuous constituents or relatively f...
Carlos Gómez-Rodríguez, Marco Kuhlma...