An O(1) solution to the prefix sum problem on a specialized memory architecture

Autores
Brodnik, Andrej; Karlsson, Johan; Munro, J. Ian; Nilsson, Andreas
Año de publicación
2006
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
In this paper we study the Prefix Sum problem introduced by Fredman. We show that it is possible to perform both update and retrieval in O(1) time simultaneously under a memory model in which individual bits may be shared by several words. We also show that two variants (generalizations) of the problem can be solved optimally in Θ (lgN) time under the comparison based model of computation.
4th IFIP International Conference on Theoretical Computer Science
Red de Universidades con Carreras en Informática (RedUNCI)
Materia
Ciencias Informáticas
random access machine (RAM)
Modeling
Bounded-action devices (e.g., Turing machines, random access machines)
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/24379

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spelling An O(1) solution to the prefix sum problem on a specialized memory architectureBrodnik, AndrejKarlsson, JohanMunro, J. IanNilsson, AndreasCiencias Informáticasrandom access machine (RAM)ModelingBounded-action devices (e.g., Turing machines, random access machines)In this paper we study the Prefix Sum problem introduced by Fredman. We show that it is possible to perform both update and retrieval in O(1) time simultaneously under a memory model in which individual bits may be shared by several words. We also show that two variants (generalizations) of the problem can be solved optimally in Θ (lgN) time under the comparison based model of computation.4th IFIP International Conference on Theoretical Computer ScienceRed de Universidades con Carreras en Informática (RedUNCI)2006-08info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/24379enginfo:eu-repo/semantics/altIdentifier/isbn/0-387-34633-3info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/ar/Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T10:55:50Zoai:sedici.unlp.edu.ar:10915/24379Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 10:55:50.374SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv An O(1) solution to the prefix sum problem on a specialized memory architecture
title An O(1) solution to the prefix sum problem on a specialized memory architecture
spellingShingle An O(1) solution to the prefix sum problem on a specialized memory architecture
Brodnik, Andrej
Ciencias Informáticas
random access machine (RAM)
Modeling
Bounded-action devices (e.g., Turing machines, random access machines)
title_short An O(1) solution to the prefix sum problem on a specialized memory architecture
title_full An O(1) solution to the prefix sum problem on a specialized memory architecture
title_fullStr An O(1) solution to the prefix sum problem on a specialized memory architecture
title_full_unstemmed An O(1) solution to the prefix sum problem on a specialized memory architecture
title_sort An O(1) solution to the prefix sum problem on a specialized memory architecture
dc.creator.none.fl_str_mv Brodnik, Andrej
Karlsson, Johan
Munro, J. Ian
Nilsson, Andreas
author Brodnik, Andrej
author_facet Brodnik, Andrej
Karlsson, Johan
Munro, J. Ian
Nilsson, Andreas
author_role author
author2 Karlsson, Johan
Munro, J. Ian
Nilsson, Andreas
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Informáticas
random access machine (RAM)
Modeling
Bounded-action devices (e.g., Turing machines, random access machines)
topic Ciencias Informáticas
random access machine (RAM)
Modeling
Bounded-action devices (e.g., Turing machines, random access machines)
dc.description.none.fl_txt_mv In this paper we study the Prefix Sum problem introduced by Fredman. We show that it is possible to perform both update and retrieval in O(1) time simultaneously under a memory model in which individual bits may be shared by several words. We also show that two variants (generalizations) of the problem can be solved optimally in Θ (lgN) time under the comparison based model of computation.
4th IFIP International Conference on Theoretical Computer Science
Red de Universidades con Carreras en Informática (RedUNCI)
description In this paper we study the Prefix Sum problem introduced by Fredman. We show that it is possible to perform both update and retrieval in O(1) time simultaneously under a memory model in which individual bits may be shared by several words. We also show that two variants (generalizations) of the problem can be solved optimally in Θ (lgN) time under the comparison based model of computation.
publishDate 2006
dc.date.none.fl_str_mv 2006-08
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
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dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/24379
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dc.language.none.fl_str_mv eng
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Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
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Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
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