Computational Complexity of One-Point and Multipoint Iteration,

Abstract

Let phi be an iteration for approximating the solution of a problem f. A new efficiency measure e(phi,f) is defined. For a given problem f, the authors define the optimal efficiency E(f) and establish lower and upper bounds for E(f) with respect to different families of iterations. An upper bound on E(f) is conjectured for any iteration without memory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1973
Accession Number
AD0760005

Entities

People

  • H. T. Kung
  • Joseph F. Traub

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Computational Complexity
  • Efficiency
  • Iterations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Operations Research