The Computational Complexity of Algebraic Numbers,

Abstract

The effort required to approximate an algebraic number should increase with its degree. In this paper the assertion is proven in a precise sense. The author shows that the optimal efficiency of approximation can be achieved only for algebraic numbers which have very low degrees; in fact, degree one or degree two.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0757678

Entities

People

  • H. T. Kung

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Computational Complexity
  • Computations
  • Efficiency

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Mathematics or Statistics
  • Operations Research