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 through the programmer to parallelize the code. Programming a parallel desktop calls for heavily learning the objective set of rules or program, extra so than within the conventional sequential programming we've all realized. The programmer needs to be conscious of the conversation and knowledge dependencies of the set of rules or program. This e-book presents the ideas to discover the potential how you can software a parallel laptop for a given program.

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7 shows the effect of the two parameters, N and R, on the speedup when α = 1. Numerical simulations indicated that changes in α are not as significant as the values of R and N. From the above equation, we get full speedup when the product RN << 1. This speedup is similar to Eq. 7 where communication overhead was neglected. This situation occurs in the case of trivially parallel algorithms as will be discussed in Chapter 7. 1. When R = 1, we get a communication-bound problem and the benefits of parallelism quickly vanish.

Which class of algorithms would the fast Fourier transform (FFT) algorithm belong to? 6. Which class of algorithms would the quicksort algorithm belong to? 7. The binary number multiplication problem in Chapter 2 could be considered as a RIA algorithm. Draw the dependence graph of such an algorithm. 8. The binary restoring division algorithm is based on the recurrence equation rj +1 = 2rj − qn − j −1 D ≥ j < n, where rj is the partial remainder at the jth iteration; qk is the kth quotient bit; and D is the denominator.

What type of algorithm is this division algorithm? 9. A processor has clock frequency f, and it requires c clock cycles to execute a single instruction. Assume a program contains I instructions. How long will the program take before it completes? 10. 5c. 11. Give some examples of serial algorithms. 12. Give some examples of parallel algorithms. 13. Consider the speedup factor for a fully parallel algorithm when communication overhead is assumed. Comment on speedup for possible values of α. 14. Consider the speedup factor for a fully parallel algorithm when communication overhead is assumed.

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