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On Data Distribution in the Construction of Parallel Programs,

Domenii publicaţii > Ştiinţe informatice + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Niculescu Virginia

Editorial: Kluwer Academic Publishers,, The Journal of Supercomputing, 29(1), p.5-25, 2004.


Data distributions have a serious impact on time
complexity of parallel programs, developed based on
domain decomposition. A new kind of distributions — {em set
distributions}, based on set-valued mappings, is introduced. These distributions assign a data object to more than one
process. The set distributions can be used
especially when the number of processes is greater than the data
input size, but, sometimes using set distributions can
lead to efficient general parallel algorithms.
The work-load properties of
these distributions and their impact on the number of
communications are discussed. In order to illustrate the
implications of data distributions in the construction of
parallel programs, some examples are presented. Two parallel
algorithms for computation of Lagrange interpolation
polynomial are developed, starting from simple distributions and set distributions.

Cuvinte cheie: Parallel Computation, Distribution, Complexity, Correctness, Numerical Algorithms