Accurate sum and dot product with applications

Takeshi Ogita; Siegfried M. Rump; Shi N.Ichi Oishi

Accurate sum and dot product with applications

Takeshi Ogita^*, Siegfried M. Rump, Shi N.Ichi Oishi

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to conference › Paper › peer-review

3 Citations (Scopus)

Abstract

In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas.

Original language	English
Pages	152-155
Number of pages	4
Publication status	Published - 2004
Event	2004 IEEE International Symposium on Computer Aided Control System Design - Taipei, Taiwan, Province of China Duration: 2004 Sept 2 → 2004 Sept 4

Conference

Conference	2004 IEEE International Symposium on Computer Aided Control System Design
Country/Territory	Taiwan, Province of China
City	Taipei
Period	04/9/2 → 04/9/4

ASJC Scopus subject areas

Engineering(all)
Computer Science(all)

Cite this

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title = "Accurate sum and dot product with applications",

abstract = "In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas.",

author = "Takeshi Ogita and Rump, {Siegfried M.} and Oishi, {Shi N.Ichi}",

year = "2004",

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pages = "152--155",

note = "2004 IEEE International Symposium on Computer Aided Control System Design ; Conference date: 02-09-2004 Through 04-09-2004",

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AU - Ogita, Takeshi

AU - Rump, Siegfried M.

AU - Oishi, Shi N.Ichi

PY - 2004

Y1 - 2004

N2 - In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas.

AB - In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas.

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M3 - Paper

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T2 - 2004 IEEE International Symposium on Computer Aided Control System Design

Y2 - 2 September 2004 through 4 September 2004

ER -

Accurate sum and dot product with applications

Abstract

Conference

ASJC Scopus subject areas

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