Clock Math - a System for Solving SLEs Exactly

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F13%3A00205206" target="_blank" >RIV/68407700:21240/13:00205206 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Clock Math - a System for Solving SLEs Exactly

Original language description

In this paper, we present a GPU-accelerated hybrid system that solves ill-conditioned systems of linear equations exactly. Exactly means without rounding errors due to using integer arithmetics. First, we scale floating-point numbers up to integers, thenwe solve dozens of SLEs within different modular arithmetics and then we assemble sub-solutions back using the Chinese remainder theorem. This approach effectively bypasses current CPU floating-point limitations. The system is capable of solving Hilbert?s matrix without losing a single bit of precision, and with a significant speedup compared to existing CPU solvers.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

IN - Informatics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

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

Name of the periodical

Acta Polytechnica

ISSN

1210-2709

e-ISSN

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Volume of the periodical

53

Issue of the periodical within the volume

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Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

5

Pages from-to

70-74

UT code for WoS article

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EID of the result in the Scopus database

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