Algorithms and Parallel Computing (Wiley Series on Parallel by Fayez Gebali

By Fayez Gebali

There's a software program hole among the power and the functionality that may be attained utilizing today's software program parallel application improvement instruments. The instruments want guide intervention by way of the programmer to parallelize the code. Programming a parallel computing device calls for heavily learning the objective set of rules or software, extra so than within the conventional sequential programming we've got all discovered. The programmer needs to be conscious of the conversation and information dependencies of the set of rules or program. This e-book offers the concepts to discover the potential how you can application a parallel desktop for a given program.

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Tw (1) = Nτ m Tw ( N ) = αTw (1) = αNτ m . 14) For a single processor, the total time to complete a task, including memory access overhead, is given by 18 Chapter 1 Introduction Ttotal (1) = Tr (1) + Tp (1) + Tw (1) . 15) Now let us consider the speedup factor when communication overhead is considered: Ttotal ( N ) = Tr ( N ) + Tp ( N ) + Tw ( N ) . 16) The speedup factor is given by Ttotal (1) Ttotal ( N ) 2αNτ m + Nτ p = . 18) which is the ratio of the delay for accessing one data block from the memory relative to the delay for processing one block of data.

Clearly, we can find a Fibonacci number only after the preceding two Fibonacci numbers have been calculated. 5 Parallel Algorithms A parallel algorithm is one where the tasks could all be performed in parallel at the same time due to their data independence. The DG associated with such an algorithm looks like a wide row of independent tasks. 3b shows an example of a parallel algorithm. A simple example of such a purely parallel algorithm is a web server where each incoming request can be processed independently from other requests.

However, this CORDIC algorithm is inherently bit-serial and required many clock cycles to complete. Thanks to VLSI technology, it is now feasible to incorporate a parallel multiplier in the ALU and thereby to speed up the processor. 2 shows the parallel multiplication technique for the case n = 4. 2a shows the parallel multiplier structure. The multiplicand b is stored in a register at the top, and the multiplier a is stored in a register at the left of the figure. Most of the parallel multiplier structure is composed of a two-dimensional (2-D) array of cells that generate the partial product bits simultaneously.

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