A novel parallel algorithm based on the Gram-Schmidt method for tridiagonal linear systems of equations.
Ghodsi, Seyed Roholah, Taeibi-Rahni, Mohammad (2010)
Mathematical Problems in Engineering
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Ghodsi, Seyed Roholah, Taeibi-Rahni, Mohammad (2010)
Mathematical Problems in Engineering
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Mario Guarracino, Francesca Perla, Paolo Zanetti (2006)
International Journal of Applied Mathematics and Computer Science
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In the present work we describe HPEC (High Performance Eigenvalues Computation), a parallel software package for the evaluation of some eigenvalues of a large sparse symmetric matrix. It implements an efficient and portable Block Lanczos algorithm for distributed memory multicomputers. HPEC is based on basic linear algebra operations for sparse and dense matrices, some of which have been derived by ScaLAPACK library modules. Numerical experiments have been carried out to evaluate HPEC...
Aleksandar B. Samardžić, Dušan Starčević, Milan Tuba (2006)
The Yugoslav Journal of Operations Research
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Paprzycki, Marcin, Petrova, Svetozara, Sanchez, Julian (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zoltán Mann, András Orbán, Viktor Farkas (2007)
International Journal of Applied Mathematics and Computer Science
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In recent years, several heuristics have been proposed for the hardware/software partitioning problem. One of the most promising directions is the adaptation of the Kernighan-Lin algorithm. The Kernighan-Lin heuristic was originally developed for circuit partitioning, but it has been adapted to other domains as well. Moreover, numerous improvements have been suggested so that now several variants of the original algorithm exist. The aim of this paper is to systematically evaluate the...
Khalid Saeed, Marek Tabędzki, Mariusz Rybnik, Marcin Adamski (2010)
International Journal of Applied Mathematics and Computer Science
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This paper aims at three aspects closely related to each other: first, it presents the state of the art in the area of thinning methodologies, by giving descriptions of general ideas of the most significant algorithms with a comparison between them. Secondly, it proposes a new thinning algorithm that presents interesting properties in terms of processing quality and algorithm clarity, enriched with examples. Thirdly, the work considers parallelization issues for intrinsically sequential...
Khazal, R.R., Chawla, M.M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Pascal Havé (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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During the development of a parallel solver for Maxwell equations by integral formulations and Fast Multipole Method (FMM), we needed to optimize a critical part including a lot of communications and computations. Generally, many parallel programs need to communicate, but choosing explicitly the way and the instant may decrease the efficiency of the overall program. So, the overlapping of computations and communications may be a way to reduce this drawback. We will see a implementation...
Witold Andrzejewski, Artur Gramacki, Jarosław Gramacki (2013)
International Journal of Applied Mathematics and Computer Science
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The Probability Density Function (PDF) is a key concept in statistics. Constructing the most adequate PDF from the observed data is still an important and interesting scientific problem, especially for large datasets. PDFs are often estimated using nonparametric data-driven methods. One of the most popular nonparametric method is the Kernel Density Estimator (KDE). However, a very serious drawback of using KDEs is the large number of calculations required to compute them, especially...
Kousalya, K., Balasubramanie, P. (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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