On weak and weighted computations over the real closure of Q

Felipe Cucker

doi:10.1016/S0304-3975(00)00007-4

On weak and weighted computations over the real closure of Q

Felipe Cucker

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1 Citation (Scopus)

Abstract

The Blum-Shub-Smale (BSS) model of computation is introduced over the real numbers to model the kind of computations done in the numerical analysis. Characteristic features of this model are the constant (unit) size for all real numbers and the unit cost arithmetic. The weak and weighted variants of the BSS model over the real closure are analyzed.

Original language	English
Pages (from-to)	593-600
Journal	Theoretical Computer Science
Volume	255
Issue number	1-2
DOIs	https://doi.org/10.1016/S0304-3975(00)00007-4
Publication status	Published - 2001

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title = "On weak and weighted computations over the real closure of Q",

abstract = "The Blum-Shub-Smale (BSS) model of computation is introduced over the real numbers to model the kind of computations done in the numerical analysis. Characteristic features of this model are the constant (unit) size for all real numbers and the unit cost arithmetic. The weak and weighted variants of the BSS model over the real closure are analyzed.",

author = "Felipe Cucker",

year = "2001",

doi = "10.1016/S0304-3975(00)00007-4",

language = "English",

volume = "255",

pages = "593--600",

journal = "Theoretical Computer Science",

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publisher = "Elsevier B.V.",

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T1 - On weak and weighted computations over the real closure of Q

AU - Cucker, Felipe

PY - 2001

Y1 - 2001

N2 - The Blum-Shub-Smale (BSS) model of computation is introduced over the real numbers to model the kind of computations done in the numerical analysis. Characteristic features of this model are the constant (unit) size for all real numbers and the unit cost arithmetic. The weak and weighted variants of the BSS model over the real closure are analyzed.

AB - The Blum-Shub-Smale (BSS) model of computation is introduced over the real numbers to model the kind of computations done in the numerical analysis. Characteristic features of this model are the constant (unit) size for all real numbers and the unit cost arithmetic. The weak and weighted variants of the BSS model over the real closure are analyzed.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0034916440&origin=recordpage

U2 - 10.1016/S0304-3975(00)00007-4

DO - 10.1016/S0304-3975(00)00007-4

M3 - RGC 21 - Publication in refereed journal

SN - 0304-3975

VL - 255

SP - 593

EP - 600

JO - Theoretical Computer Science

JF - Theoretical Computer Science

IS - 1-2

ER -

On weak and weighted computations over the real closure of Q

Abstract

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