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Weighted Matrix Reordering and Parallel Banded Preconditioners for Iterative Linear System Solvers
Date
2010-01-01
Author
Manguoğlu, Murat
Ahmed, Sameh
Ananth, Grama
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URI
https://hdl.handle.net/11511/75005
Journal
Siam Journal On Scientific Computing
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WEIGHTED MATRIX ORDERING AND PARALLEL BANDED PRECONDITIONERS FOR ITERATIVE LINEAR SYSTEM SOLVERS
Manguoğlu, Murat; Sameh, Ahmed H.; Grama, Ananth (Society for Industrial & Applied Mathematics (SIAM), 2010-01-01)
The emergence of multicore architectures and highly scalable platforms motivates the development of novel algorithms and techniques that emphasize concurrency and are tolerant of deep memory hierarchies, as opposed to minimizing raw FLOP counts. While direct solvers are reliable, they are often slow and memory-intensive for large problems. Iterative solvers, on the other hand, are more efficient but, in the absence of robust preconditioners, lack reliability. While preconditioners based on incomplete factor...
WEIGHTED HOMOGENEOUS SINGULARITIES AND RATIONAL HOMOLOGY DISK SMOOTHINGS
Bhupal, Mohan Lal (2011-10-01)
We classify the resolution graphs of weighted homogeneous surface singularities which admit rational homology disk smoothings. The nonexistence of rational homology disk smoothings is shown by symplectic geometric methods, while the existence is verified via smoothings of negative weight.
Weighted multi-visibility analysis on directional paths
Şeker, Çağıl; Toprak, Vedat; Department of Geodetic and Geographical Information Technologies (2010)
Visibility analysis is an important GIS tool that is used in a diverse array of disciplines ranging from earth sciences to telecommunications. Multi-visibility, as a cumulative type of visibility, combines many point-to-point results into a multi-value array. Points, lines, or areas can be used as sources or targets; and the combined values can be calculated in both ways. Through multi-visibility, a special 2.5D visibility value surface can be constructed over a digital elevation model. The effectiveness of...
Greedy Reduction Algorithms for Mixtures of Exponential Family
Ardeshiri, Tohid; Granstrom, Karl; Özkan, Emre; Orguner, Umut (2015-06-01)
In this letter, we propose a general framework for greedy reduction of mixture densities of exponential family. The performances of the generalized algorithms are illustrated both on an artificial example where randomly generated mixture densities are reduced and on a target tracking scenario where the reduction is carried out in the recursion of a Gaussian inverse Wishart probability hypothesis density (PHD) filter.
Nonlinear time history analyses of multi-degree of freedom structures under real and synthetic records using stochastic finite-fault methodology
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M. Manguoğlu, S. Ahmed, and G. Ananth, “Weighted Matrix Reordering and Parallel Banded Preconditioners for Iterative Linear System Solvers,”
Siam Journal On Scientific Computing
, pp. 0–0, 2010, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/75005.