Complex Modeling of Matrix Parallel Algorithms

Peter Hanuliak

doi:doi:10.11648/j.ajnc.s.2014030501.11

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Complex Modeling of Matrix Parallel Algorithms

Peter Hanuliak

Published in American Journal of Networks and Communications (Volume 3, Issue 5-1)

Received: 14 July 2014 Accepted: 18 July 2014 Published: 31 July 2014

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Abstract

Parallel principles are the most effective way how to increase performance in parallel computing (parallel computers and algorithms too). In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). At first the paper describes the typical matrix parallel algorithms and then it summarizes common properties of them to complex performance modeling of MPA. To complex performance analysis we are able to take into account all overheads influence performance of parallel algorithms (parallel computer architecture, parallel computation, communication etc.). To be le to analyze MPA in their abstract form we have defined needed decomposition models of MPA. For these decomposition strategies we derived analytical relation for defined complex performance criterions including isoefficiency functions, which allow us to predict performance although for hypothetical parallel computer. In its experimental part the paper considers the achieved results using defined complex performance criterions including issoefficiency function for performance prediction also for hypothetical future parallel computers. Such idea of common abstract analysis could be very useful in deriving complex performance criterions for groups of other similar parallel algorithms (PA) as for example numerical integration PA, optimization PA etc.

Published in	American Journal of Networks and Communications (Volume 3, Issue 5-1) This article belongs to the Special Issue Parallel Computer and Parallel Algorithms
DOI	10.11648/j.ajnc.s.2014030501.11
Page(s)	1-14
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Parallel Computer, NOW, Grid, Parallel Algorithm (PA), Matrix PA, Decomposition Model, Performance Modeling, Optimization, Overhead Function H(S, P), Inter Process Communication IPC, Performance Prediction, Issoeficiency Function

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Peter Hanuliak. (2014). Complex Modeling of Matrix Parallel Algorithms. American Journal of Networks and Communications, 3(5-1), 1-14. https://doi.org/10.11648/j.ajnc.s.2014030501.11

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Peter Hanuliak. Complex Modeling of Matrix Parallel Algorithms. Am. J. Netw. Commun. 2014, 3(5-1), 1-14. doi: 10.11648/j.ajnc.s.2014030501.11

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AMA Style

Peter Hanuliak. Complex Modeling of Matrix Parallel Algorithms. Am J Netw Commun. 2014;3(5-1):1-14. doi: 10.11648/j.ajnc.s.2014030501.11

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@article{10.11648/j.ajnc.s.2014030501.11,
  author = {Peter Hanuliak},
  title = {Complex Modeling of Matrix Parallel Algorithms},
  journal = {American Journal of Networks and Communications},
  volume = {3},
  number = {5-1},
  pages = {1-14},
  doi = {10.11648/j.ajnc.s.2014030501.11},
  url = {https://doi.org/10.11648/j.ajnc.s.2014030501.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajnc.s.2014030501.11},
  abstract = {Parallel principles are the most effective way how to increase performance in parallel computing (parallel computers and algorithms too). In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). At first the paper describes the typical matrix parallel algorithms and then it summarizes common properties of them to complex performance modeling of MPA. To complex performance analysis we are able to take into account all overheads influence performance of parallel algorithms (parallel computer architecture, parallel computation, communication etc.). To be le to analyze MPA in their abstract form we have defined needed decomposition models of MPA. For these decomposition strategies we derived analytical relation for defined complex performance criterions including isoefficiency functions, which allow us to predict performance although for hypothetical parallel computer. In its experimental part the paper considers the achieved results using defined complex performance criterions including issoefficiency function for performance prediction also for hypothetical future parallel computers. Such idea of common abstract analysis could be very useful in deriving complex performance criterions for groups of other similar parallel algorithms (PA) as for example numerical integration PA, optimization PA etc.},
 year = {2014}
}

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TY  - JOUR
T1  - Complex Modeling of Matrix Parallel Algorithms
AU  - Peter Hanuliak
Y1  - 2014/07/31
PY  - 2014
N1  - https://doi.org/10.11648/j.ajnc.s.2014030501.11
DO  - 10.11648/j.ajnc.s.2014030501.11
T2  - American Journal of Networks and Communications
JF  - American Journal of Networks and Communications
JO  - American Journal of Networks and Communications
SP  - 1
EP  - 14
PB  - Science Publishing Group
SN  - 2326-8964
UR  - https://doi.org/10.11648/j.ajnc.s.2014030501.11
AB  - Parallel principles are the most effective way how to increase performance in parallel computing (parallel computers and algorithms too). In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). At first the paper describes the typical matrix parallel algorithms and then it summarizes common properties of them to complex performance modeling of MPA. To complex performance analysis we are able to take into account all overheads influence performance of parallel algorithms (parallel computer architecture, parallel computation, communication etc.). To be le to analyze MPA in their abstract form we have defined needed decomposition models of MPA. For these decomposition strategies we derived analytical relation for defined complex performance criterions including isoefficiency functions, which allow us to predict performance although for hypothetical parallel computer. In its experimental part the paper considers the achieved results using defined complex performance criterions including issoefficiency function for performance prediction also for hypothetical future parallel computers. Such idea of common abstract analysis could be very useful in deriving complex performance criterions for groups of other similar parallel algorithms (PA) as for example numerical integration PA, optimization PA etc.
VL  - 3
IS  - 5-1
ER  -

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Author Information

Peter Hanuliak

Dubnica Technical Institute, Sladkovicova 533/20, Dubnica nad Vahom, 018 41, Slovakia

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APA Style

Peter Hanuliak. (2014). Complex Modeling of Matrix Parallel Algorithms. American Journal of Networks and Communications, 3(5-1), 1-14. https://doi.org/10.11648/j.ajnc.s.2014030501.11

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ACS Style

Peter Hanuliak. Complex Modeling of Matrix Parallel Algorithms. Am. J. Netw. Commun. 2014, 3(5-1), 1-14. doi: 10.11648/j.ajnc.s.2014030501.11

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AMA Style

Peter Hanuliak. Complex Modeling of Matrix Parallel Algorithms. Am J Netw Commun. 2014;3(5-1):1-14. doi: 10.11648/j.ajnc.s.2014030501.11

Copy | Download

@article{10.11648/j.ajnc.s.2014030501.11,
  author = {Peter Hanuliak},
  title = {Complex Modeling of Matrix Parallel Algorithms},
  journal = {American Journal of Networks and Communications},
  volume = {3},
  number = {5-1},
  pages = {1-14},
  doi = {10.11648/j.ajnc.s.2014030501.11},
  url = {https://doi.org/10.11648/j.ajnc.s.2014030501.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajnc.s.2014030501.11},
  abstract = {Parallel principles are the most effective way how to increase performance in parallel computing (parallel computers and algorithms too). In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). At first the paper describes the typical matrix parallel algorithms and then it summarizes common properties of them to complex performance modeling of MPA. To complex performance analysis we are able to take into account all overheads influence performance of parallel algorithms (parallel computer architecture, parallel computation, communication etc.). To be le to analyze MPA in their abstract form we have defined needed decomposition models of MPA. For these decomposition strategies we derived analytical relation for defined complex performance criterions including isoefficiency functions, which allow us to predict performance although for hypothetical parallel computer. In its experimental part the paper considers the achieved results using defined complex performance criterions including issoefficiency function for performance prediction also for hypothetical future parallel computers. Such idea of common abstract analysis could be very useful in deriving complex performance criterions for groups of other similar parallel algorithms (PA) as for example numerical integration PA, optimization PA etc.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Complex Modeling of Matrix Parallel Algorithms
AU  - Peter Hanuliak
Y1  - 2014/07/31
PY  - 2014
N1  - https://doi.org/10.11648/j.ajnc.s.2014030501.11
DO  - 10.11648/j.ajnc.s.2014030501.11
T2  - American Journal of Networks and Communications
JF  - American Journal of Networks and Communications
JO  - American Journal of Networks and Communications
SP  - 1
EP  - 14
PB  - Science Publishing Group
SN  - 2326-8964
UR  - https://doi.org/10.11648/j.ajnc.s.2014030501.11
AB  - Parallel principles are the most effective way how to increase performance in parallel computing (parallel computers and algorithms too). In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). At first the paper describes the typical matrix parallel algorithms and then it summarizes common properties of them to complex performance modeling of MPA. To complex performance analysis we are able to take into account all overheads influence performance of parallel algorithms (parallel computer architecture, parallel computation, communication etc.). To be le to analyze MPA in their abstract form we have defined needed decomposition models of MPA. For these decomposition strategies we derived analytical relation for defined complex performance criterions including isoefficiency functions, which allow us to predict performance although for hypothetical parallel computer. In its experimental part the paper considers the achieved results using defined complex performance criterions including issoefficiency function for performance prediction also for hypothetical future parallel computers. Such idea of common abstract analysis could be very useful in deriving complex performance criterions for groups of other similar parallel algorithms (PA) as for example numerical integration PA, optimization PA etc.
VL  - 3
IS  - 5-1
ER  -

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