Evaluation of Complex Logarithms and Related Functions.

Abstract

An algorithm is presented for computing 1n z with complex arithmetic, by extending to the complex plane Carlson's treatment of a classical iteration using arithmetic and geometric means. Although not competitive with current techniques which handle the real and imaginary parts separately, the algorithm may be useful in special purpose applications. A detailed analysis of convergence, scaling, and roundoff is given. Standard identities and some minor bookkeeping allow the evaluation of inverse circular and inverse hyperbolic functions. It is also shown that the basic procedure is related to certain real algorithms. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA093565

Entities

People

  • George J. Miel

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Arithmetic
  • Computer Programming
  • Computer Science
  • Convergence
  • Extrapolation
  • Identities
  • Iterations
  • Language
  • Mathematics
  • Numbers
  • Numerical Analysis
  • Programming Languages
  • Square Roots
  • Standards
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.