APPLICATION OF FUNCTIONAL ANALYSIS TO NUMERICAL ANALYSIS; LECTURES.

Abstract

Contents: Typical questions in numerical analysis; Various types of topological spaces; Ordering, convergence, compactness; Operators in pseudo-metric spaces; The general theorem; A principle for accuracy analysis when using computers; Methods using the derivative of an operator; The order of convergence of iteration methods; The rule of false position; General theory of iteration methods of higher order; Monotonic behaviour of Newton's method.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1960
Accession Number
AD0606018

Entities

People

  • E. C. Zachmanoglou
  • L. Collatz

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computers
  • Convergence
  • Functional Analysis
  • Iterations
  • Mathematical Analysis
  • Numerical Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra

Technology Areas

  • Space