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Solver for Systems of Linear Equations with Infinite Precision on a GPU Cluster

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F16%3A00333879" target="_blank" >RIV/68407700:21240/16:00333879 - isvavai.cz</a>

  • Result on the web

    <a href="http://poseidon2.feld.cvut.cz/conf/poster/poster2016/proceedings/Section_ICS/ICS_097_Khun.pdf" target="_blank" >http://poseidon2.feld.cvut.cz/conf/poster/poster2016/proceedings/Section_ICS/ICS_097_Khun.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Solver for Systems of Linear Equations with Infinite Precision on a GPU Cluster

  • Original language description

    In this paper, we would like to introduce an accelerated solver for systems of linear equations with an infinite precision designed for GPU clusters. The infinite precision means that the system can provide a precise solution without any rounding error. These errors usually come from limited precision of floating point values within their natural computer representation. In a simplified description, the system is using modular arithmetic for transforming an original SLE into dozens of integer SLEs that are solved in parallel via a GPU cluster. In the final step, partial results are used for a calculation of the final solution. The usage of GPUs plays a key role in terms of performance because the whole process is computationally very intensive but also well scalable. An overall performance of the solver directly depends on the cluster's configuration but it can offer the performance far beyond a single computing node.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 20th International Scientific Student Conferenece POSTER 2016

  • ISBN

    978-80-01-05950-0

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    Czech Technical University in Prague

  • Place of publication

    Praha

  • Event location

    Praha

  • Event date

    May 24, 2016

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article