A STUDY OF THE NON-UNIFORM CONVERGENCE OF THE INVERSE OF A DOUBLY-INFINITE MATRIX ASSOCIATED WITH A BOUNDARY VALUE PROBLEM IN A WAVEGUIDE

Abstract

A doubly infinite set of equations is presented f r application to the bifurcation problem in a waveguide. These equations have been obtained by H URD AND Gruenberg thr gh the use of the calculus of residues. This set of equations is particularly suited to demonstrate by inverting several finite size matrices that there results a conditional convergence when P approaches infinite and Q approaches infinity. A theoretical basis for choosing the correct P/Q, when working with a truncated set is postulated.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0264556

Entities

People

  • Raj Mittra

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Convergence
  • Differential Equations
  • Equations
  • Mathematics
  • Waveguides

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.
  • Statistical inference.