Algorithms and parallel computing by Fayez Gebali

By Fayez Gebali

There's a software program hole among the strength and the functionality that may be attained utilizing todays software program parallel application improvement instruments. The instruments want handbook intervention via the programmer to parallelize the code. Programming a parallel desktop calls for heavily learning the objective set of rules or software, extra so than within the conventional sequential programming now we have all discovered. The programmer needs to be conscious of the conversation and information dependencies of the set of rules or software. This publication offers the suggestions to discover the potential how one can application a parallel computing device for a given software.

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This class of algorithms deserves special attention because they are found in algorithms from diverse fields such as signal, image and video processing, linear algebra applications, and numerical simulation applications that can be implemented in grid structures. 5 shows the dependence graph of a RIA. The example is for pattern matching algorithm. Notice that for a RIA, we do not draw a DAG; instead, we use the dependence graph concept. 5 Dependence graph of a RIA for the pattern matching algorithm.

In fact, Chapters 9–11 are dedicated to just exploring the parallelization of this class of algorithms. 1. 1 Matrix–matrix multiplication algorithm. 1 show regular dependence on the algorithm indices i, j, and k. Traditionally, such algorithms are studied using the dependence graph technique, which shows the links between the different tasks to be performed [10–12]. The dependence graph is attractive when the number of algorithm indices is 1 or 2. We have three indices in our matrix–matrix multiplication algorithm.

The algorithm for floating point addition can be summarized as follows: (1) Compare the exponents and choose the larger exponent. (2) Right shift the mantissa of the number with the smaller exponent by the amount of exponent difference. (3) Add the mantissas. (4) Normalize the results. Draw a dependence graph of the algorithm and state what type of algorithm this is. 18. The algorithm for floating point multiplication can be summarized as follows: (1) (2) (3) (4) Multiply the mantissas. Add the two exponents.

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