COMBINING DIMENSIONALITY AND RATE OF GROWTH ARGUMENTS FOR ESTABLISHING LOWER BOUNDS ON THE NUMBER OF MULTIPLICATIONS AND DIVISIONS.

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Abstract

A new method for establishing lower bounds on the number of multiplications and divisions required to compute rational functions is described. The method is based on combining two known methods, dimensionality and rate of growth. The method is applied to several problems and new lower bounds are obtained.

Original languageEnglish (US)
Pages (from-to)582-601
Number of pages20
JournalJournal of the ACM
Volume26
Issue number3
DOIs
StatePublished - Jul 1979

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Rational functions
Dimensionality
Division
Multiplication
Lower bound
Rational function

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Graphics and Computer-Aided Design
  • Hardware and Architecture
  • Information Systems
  • Software
  • Theoretical Computer Science

Cite this

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title = "COMBINING DIMENSIONALITY AND RATE OF GROWTH ARGUMENTS FOR ESTABLISHING LOWER BOUNDS ON THE NUMBER OF MULTIPLICATIONS AND DIVISIONS.",
abstract = "A new method for establishing lower bounds on the number of multiplications and divisions required to compute rational functions is described. The method is based on combining two known methods, dimensionality and rate of growth. The method is applied to several problems and new lower bounds are obtained.",
author = "Zvi Kedem",
year = "1979",
month = "7",
doi = "10.1145/322139.322153",
language = "English (US)",
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pages = "582--601",
journal = "Journal of the ACM",
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publisher = "Association for Computing Machinery (ACM)",
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