An Efficient Iterative Method for the Computer Solution of Large Sets of Simultaneous Linear Equations Applied to Antenna Modelling,

Abstract

Very large sets of simultaneous linear equations can usually be solved to reasonable accuracy more quickly by an iterative method than by a direct one, but most iterative methods only converge if the elements of the principal diagonal of the coefficient matrix dominate all the other elements. This paper describes an iterative method which depends for its convergence only on domainance by the elements of an arbitrarily wide band of diagonals centred on the principal diagonal. The theory of the method is fully worked out, and a computer program implementing it in Fortran IV is presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA099783

Entities

People

  • T. E. Hodgetts

Organizations

  • Royal Signals and Radar Establishment

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Bandwidth
  • Coefficients
  • Computer Programming
  • Computer Programs
  • Computers
  • Convergence
  • Core Storage
  • Decomposition
  • Equations
  • Errors
  • Foreign Languages
  • Iterations
  • Mainframe Computers
  • Mathematical Analysis
  • Simultaneous Equations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Theoretical Analysis.