An Interesting Fact Regarding the Routh Table
Burrows, C. R.
The Routh table is a powerful analysis tool used to determine how many roots of a given polynomial have negative, zero, and positive real parts. A special case occurs when a row of zeros is encountered. This indicates an even polynomial may be factored from the given polynomial. It is well known that the even polynomial is in the row above the row of zeros. In this technical note it will be shown that the even polynomial may be factored from all of the polynomials in the rows above the row of zeros.
R. G. Landers, "An Interesting Fact Regarding the Routh Table," Journal of Systems and Control Engineering, SAGE Publications, Jan 2009.
The definitive version is available at https://doi.org/10.1243/09596518JSCE707
Mechanical and Aerospace Engineering
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