Title :
The use of pivot ratios as a guide to stability of matrix equations arising in the method of moments
Author :
Mittra, Raj ; Klein, Charles A.
Author_Institution :
University of Illinois, Urbana, IL, USA
fDate :
5/1/1975 12:00:00 AM
Abstract :
In a previous communication the authors have shown that in applying the method of moments to problems in electromagnetics the matrix condition numbers can be used to indicate regions in Which instability occurs. However, the calculation of the condition numbers requires an explicit matrix inverse which is costly. The pivot ratio, which is easily calculated from information known within the Gaussian elimination scheme, indicates instabilities as well as the condition number but without requiring an explicit inverse. A number of examples illustrating the use of the pivot ratio are presented.
Keywords :
Moment methods; Antennas and propagation; Electromagnetics; Integral equations; Laboratories; Moment methods; Optical imaging; Optical propagation; Radar cross section; Stability; Symmetric matrices;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.1975.1141067