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» Solving Linear Systems through Nested Dissection
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143
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FOCS
2010
IEEE
15 years 3 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»
15 years 5 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
292
Voted
PC
2011
413views Management» more  PC 2011»
15 years 15 days 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
15 years 9 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
15 years 3 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...