
Accession Number : AD0264556
Title : A STUDY OF THE NONUNIFORM CONVERGENCE OF THE INVERSE OF A DOUBLYINFINITE MATRIX ASSOCIATED WITH A BOUNDARY VALUE PROBLEM IN A WAVEGUIDE
Corporate Author : ILLINOIS UNIV URBANA ELECTRICAL ENGINEERING RESEARCH LAB
Personal Author(s) : MITTRA,R.
Report Date : DEC 1961
Pagination or Media Count : 1
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.
Descriptors : *WAVE PROPAGATION, *WAVEGUIDES, ELECTROMAGNETISM, EQUATIONS, MATRICES(MATHEMATICS), THEORY
Distribution Statement : APPROVED FOR PUBLIC RELEASE