Parallel Processing on Block-based Gauss-Jordan Algorithm for Desktop Grid
Yizi Shang, Guiming Lu, Ling Shang, Guangqian Wang (2011)
Computer Science and Information Systems
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Yizi Shang, Guiming Lu, Ling Shang, Guangqian Wang (2011)
Computer Science and Information Systems
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Ghodsi, Seyed Roholah, Taeibi-Rahni, Mohammad (2010)
Mathematical Problems in Engineering
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Aleksandar B. Samardžić, Dušan Starčević, Milan Tuba (2006)
The Yugoslav Journal of Operations Research
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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...
Prabir Daripa (2012)
Open Mathematics
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Some application driven fast algorithms developed by the author and his collaborators for elliptic partial differential equations are briefly reviewed here. Subsequent use of the ideas behind development of these algorithms for further development of other algorithms some of which are currently in progress is briefly mentioned. Serial and parallel implementation of these algorithms and their applications to some pure and applied problems are also briefly reviewed.
Angelova, Vesela, Borissov, Yuri (2013)
Serdica Journal of Computing
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We describe an approach for recovering the plaintext in block ciphers having a design structure similar to the Data Encryption Standard but with improperly constructed S-boxes. The experiments with a backtracking search algorithm performing this kind of attack against modified DES/Triple-DES in ECB mode show that the unknown plaintext can be recovered with a small amount of uncertainty and this algorithm is highly efficient both in time and memory costs for plaintext sources with relatively...
Pavol Purcz (2001)
Kybernetika
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A generalization of the spatially one-dimensional parallel pipe-line algorithm for solution of the initial-boundary-value problem using explicit difference method to the two-dimensional case is presented. The suggested algorithm has been verified by implementation on a workstation-cluster running under PVM (Parallel Virtual Machine). Theoretical estimates of the speed-up are presented.
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...
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...
Edmund Burke, Yuri Bykov, James Newall, Sanja Petrović (2003)
The Yugoslav Journal of Operations Research
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A. Adrabiński, M. Wodecki (1979)
Applicationes Mathematicae
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