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This article is cited in 1 scientific paper (total in 1 paper)
Programming & Computer Software
Parallel algorithms of integer arithmetic in radix notations for heterogeneous computation systems with massive parallelism
A. V. Panyukov, V. A. Golodov South Ural State University, Chelyabinsk, Russian Federation
Abstract:
For the analysis of huge
problems which are very sensitive to the rounding errors, the
software providing rational calculations is developed. Software
uses MPI interface for communication in the distributed
computational environment. Improved efficiency of such software my
be achieved by using heterogeneous computation systems. Local
arithmetic operations with long numbers may be done in parallel
mode with a lot of processes per one operation. This work
introduces the research of increasing of the scalability of basic
arithmetic operations.
Abilities of the massive parallelism for the heterogeneous
computation systems for the efficiency improving are shown.
Redundant numerical system with a constant time of the addition
operation is introduced. It allows to design well scaled
algorithms for all basic arithmetic operations with integer
numbers. Scalability of the basic integer arithmetic algorithms is
easy applied to rational arithmetic.
Keywords:
integer computer arithmetic; heterogeneous computer system; radix notation; massive parallelism.
Received: 16.09.2014
Citation:
A. V. Panyukov, V. A. Golodov, “Parallel algorithms of integer arithmetic in radix notations for heterogeneous computation systems with massive parallelism”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015), 117–126
Linking options:
https://www.mathnet.ru/eng/vyuru268 https://www.mathnet.ru/eng/vyuru/v8/i2/p117
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