The Solution of Two Problems in Applied Mathematics by Means of Special Approximating Polynomials.

Abstract

The previously introduced special approximating polynomials Q sub n(x) are used to construct a converging iteration process for finding the unique (on the segment (a,b) root xi of unit multiplicity of the transcendental equation f(x) = 0 (the discussion is illustrated by an example) and also for the construction and proof of the convergence of the quadrature process. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 17, 1971
Accession Number
AD0731560

Entities

People

  • I. I. Eterman

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Applied Mathematics
  • Approximation (Mathematics)
  • Construction
  • Convergence
  • Equations
  • Formulas (Mathematics)
  • Iterations
  • Mathematics
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra