DocumentCode
1231294
Title
The Laguerre method for finding the zeros of polynomials
Author
Orchard, H.J.
Author_Institution
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
Volume
36
Issue
11
fYear
1989
fDate
11/1/1989 12:00:00 AM
Firstpage
1377
Lastpage
1381
Abstract
In both the analysis and the design of linear networks, a commonly occurring task is that of locating the zeros of a polynomial. Among the many methods available for doing this, the one due to Laguerre has some remarkable properties that include a guarantee of convergence for polynomials with only real zeros. Moreover, for simple zeros, real or complex, this convergence is cubic. In practice, the method has proved very successful. Since this method is not widely known, the author explains its properties in an elementary fashion
Keywords
linear network analysis; linear network synthesis; poles and zeros; polynomials; Laguerre method; convergence; linear networks; polynomials; properties; zeros; Circuits; Convergence; Filters; Frequency domain analysis; Helium; Polynomials; Transfer functions;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.41294
Filename
41294
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