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Multi-Dimensional Continued Fraction Algorithms.


N8312928

Publication Date 1981
Personal Author Brentjes, A. J.
Page Count 202
Abstract Multi-dimensional continued fraction algorithms and their application to Diophantine approximation problems are studied. The approach is more of a geometric nature than in most of the related literature. The ordinary continued fraction algorithm is considered. Multi-dimensional continued fraction algorithms are introduced. Vectorial algorithms are surveyed. Approximation problems are introduced. A continued fraction algorithm is constructed. Higher dimensions are considered. It is shown that chains of relative minima can be calculated by means of a two dimensional continued fraction algorithm.
Keywords
  • Algorithms
  • Approximation
  • Geometry
  • Mathematical models
  • Minima
  • Numerical analysis
  • Vectors (Mathematics)
  • Foreign technology
Source Agency
  • NASA Foreign Exchange Program
NTIS Subject Category
  • 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Authors Leiden Rijksuniversiteit (Netherlands).; National Aeronautics and Space Administration, Washington, DC.
Supplemental Notes Sponsored in Part by Netherlands Organization for the Advancement of Pure Research.
Document Type Technical Report
NTIS Issue Number 198308
Multi-Dimensional Continued Fraction Algorithms.
Multi-Dimensional Continued Fraction Algorithms.
N8312928

  • Algorithms
  • Approximation
  • Geometry
  • Mathematical models
  • Minima
  • Numerical analysis
  • Vectors (Mathematics)
  • Foreign technology
  • NASA Foreign Exchange Program
  • 72B - Algebra, Analysis, Geometry, & Mathematical Logic
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