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Implementation of Parallel Algorithms

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A Practical Approach to High-Performance Computing

Abstract

In many cases, the development of an efficient parallel algorithm for the solution of some problem requires new ideas and methods in comparison with the creation of a sequential version of the algorithm. Examples are the practically important problems of searching for a target element in a data structure and of computation of the value of an algebraic expression. The present chapter discusses algorithms for array element summation and data sorting.

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Notes

  1. 1.

    Donald Lewis Shell (1924–2015), American researcher in the field of computer science.

  2. 2.

    Vaughan Ronald Pratt (b. 1944), American researcher, specializing in the fields of informatics and computing.

  3. 3.

    Thomas Nathaniel Hibbard (1929–2016), American researcher in the field of computer science.

  4. 4.

    Johann Carl Friedrich Gauss (1777–1855), a prominent German mathematician and astronomer.

  5. 5.

    Donald Ervin Knuth (b. 1938), an American scientist, specializing in the fields of informatics and computing.

  6. 6.

    Robert Sedgewick (b. 1946), an American researcher, specializing in the fields of informatics and computer technology.

  7. 7.

    Lothar Collatz (1910–1990), German mathematician.

References

  1. Akl, S.G.: The Design and Analysis of Parallel Algorithms. Prentice Hall, Upper Saddle River (1989)

    Google Scholar 

  2. Breshears, C.: The Art of Concurrency. O’Reilly, Beijing (2009)

    Google Scholar 

  3. Casanova, H., Legrand, A., Robert, Y.: Parallel Algorithms. Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series. CRC Press, Boca Raton (2008)

    Book  Google Scholar 

  4. Dow, M.: Transposing a matrix on a vector computer. Parallel Comput. 21, 1997–2005 (1995)

    Article  MathSciNet  Google Scholar 

  5. Hibbard, T.N.: An empirical study of minimal storage sorting. Commun. ACM 6(5), 206–213 (1963)

    Article  Google Scholar 

  6. Knuth, D.E.: The Art of Computer Programming, vol. 3. Seminumerical Algorithms, 2nd edn. Addison-Wesley, Boston (1998)

    Google Scholar 

  7. Kurgalin, S., Borzunov, S.: The Discrete Math Workbook: A Companion Manual for Practical Study. Texts in Computer Science. Springer, Berlin (2018)

    Book  Google Scholar 

  8. Lagarias, J.C. (ed.): The Ultimate Challenge: The 3x+1 Problem. American Mathematical Society, Providence (2010)

    MATH  Google Scholar 

  9. Linux Man-Pages Project: Linux Programmer’s Manual, Drand48_r(3) (2018). http://man7.org/linux/man-pages/man3/drand48_r.3.html

  10. McConnell, J.J.: Analysis of Algorithms: An Active Learning Approach, 2nd edn. Jones and Bartlett, Burlington (2008)

    Google Scholar 

  11. Miller, R., Boxer, L.: Algorithms Sequential and Parallel: A Unified Approach, 3rd edn. Cengage Learning, Boston (2013)

    Google Scholar 

  12. Ortega, J.M.: Introduction to Parallel and Vector Solution of Linear Systems. Frontiers in Computer Science. Springer, Berlin (1988)

    Book  Google Scholar 

  13. Pacheco, P.S.: An Introduction to Parallel Programming. Elsevier, Amsterdam (2011)

    Google Scholar 

  14. Pratt, V.R.: Shellsort and Sorting Networks. Outstanding Dissertations in the Computer Sciences. Garland, New York (1979)

    Google Scholar 

  15. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes: The Art of Scientific Computing, 3rd edn. Cambridge University Press, Cambridge (2007)

    MATH  Google Scholar 

  16. Quinn, M.J.: Parallel Programming in C with MPI and OpenMP. McGraw-Hill Higher Education, Boston (2004)

    Google Scholar 

  17. Sedgewick, R.: A new upper bound for shellsort. J. Algorithms 7(2), 159–173 (1986)

    Article  MathSciNet  Google Scholar 

  18. Sedgewick, R.: Algorithms in C, 3rd edn. Addison-Wesley, Boston (1998)

    MATH  Google Scholar 

  19. Shell, D.L.: A high-speed sorting procedure. Commun. ACM 2(7), 30–32 (1959)

    Article  Google Scholar 

  20. Voevodin, V.V.: Mathematical Foundations of Parallel Computing. World Scientific Series in Computer Science, vol. 33. World Scientific, Singapore (1992)

    Google Scholar 

  21. Wilkinson, B., Allen, M.: Parallel Programming Techniques and Applications Using Networked Workstations and Parallel Computers, 2nd edn. Pearson Prentice Hall, Upper Saddle River (2004)

    Google Scholar 

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Kurgalin, S., Borzunov, S. (2019). Implementation of Parallel Algorithms. In: A Practical Approach to High-Performance Computing. Springer, Cham. https://doi.org/10.1007/978-3-030-27558-7_6

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  • DOI: https://doi.org/10.1007/978-3-030-27558-7_6

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