By Cesur Baransel (auth.), Victor Malyshkin (eds.)

This e-book constitutes the lawsuits of the twelfth foreign convention on Parallel Computing applied sciences, PaCT 2013, held in St. Petersburg, Russia, in the course of September 30-October four, 2013. The forty-one complete papers provided including 2 invited papers have been conscientiously reviewed and chosen from eighty three submissions. The papers are equipped in topical sections on all technological points of the functions of parallel desktops excessive point parallel programming languages and platforms, equipment and instruments for parallel resolution of large-scale difficulties, languages, environments and software program instruments aiding parallel processing, working platforms, scheduling, mapping, load balancing, basic architectural suggestions, mobile automata, functionality dimension and research instruments, instructing parallel processing, software program for grid and cloud computing, scalable computing, fragmentation and aggregation of algorithms and courses in addition to courses assembling and reuse.

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Example text

However, because of the explicit nature, it has low convergence rate. Because of this, the CG method is usually applied to the preconditioned linear system (M −1 A)x = M −1 b where M is a symmetric positive-definite matrix that is ”close” to the main matrix A (which is also symmetric and positive-definite). Preconditioning works well if the condition number of the matrix M −1 A is much less than that of the original matrix A. The simplest way to reduce this condition number and accelerate the convergence is to apply an ”explicit” preconditioner (B = M −1 ) than doesn’t require the inversion of M .

1, left), we will be able to perform computations simultaneously in all subparts of the same color. After finishing processing for the particular color, we will do the same for another color. This approach is conceptually similar to the multicolored grid partitioning for some iterative methods (such as Gauss-Seidel and SOR). The above variant of the multicolored partitioning has the obvious limitation: the maximal half-width of the matrix must be less than the size of the subpart otherwise a particular thread would modify the resulting vector of the preceding thread of the same color.

The transition can fire as soon as the clock value reaches the earliest firing time and it must fire no later than the latest firing time, unless the transition got disabled by some other transition. Unlike TA for sequential systems, TPN is not the only undisputed formalism for distributed systems. However, the model of TPN has been around for several decades and it has proven to be useful for modelling of a wide range of distributed real-time systems including workflow processes, scheduling problems and others.

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