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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제36권 제3호
- 발행연도
- 2018.1
- 수록면
- 231 - 236 (6page)
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A polynomial, $p(z)=a_0z^n+a_1z^{n-1}+{\cdots}+a_{n-1}z+a_n$, with real coefficients is called a stable or a Hurwitz polynomial if all its zeros have negative real parts. We show that if a polynomial is a Hurwitz polynomial then so is the polynomial $q(z)=a_nz^n+a_{n-1}z^{n-1}+{\cdots}+a_1z+a_0$ (with coefficients in reversed order). As consequences, we give simple ratio checking inequalities that would determine unstability of a polynomial of degree 5 or more and extend conditions to get some previously known results.
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참고문헌 (9)
참고문헌 신청
A. Borobia / 2001 / Three coefficients of a polynomial can determine its instability / Linear Algebra Appl 338:6776
R. Bortolatto / 2014 / A note on the Lienard-Chipart criterion and roots of some families of poly-nomials
A. Hurwitz / 1895 / Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit nega-tiven reellen Theilen besitzt / Math. Ann 46(2):273~284
O. Katkova / 2008 / A sufficient condition for a polynomial to be stable / J. Math. Anal. Appl :81~89
A. Lienard / 1914 / Sur le signe de la partie relle des racines dune quation algebrique / J. Math. Pures Appl 10(4):291~346
R. Bortolatto / 2014 / A note on the Lienard-Chipart criterion and roots of some families of poly-nomials
A. Hurwitz / 1895 / Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit nega-tiven reellen Theilen besitzt / Math. Ann 46(2):273~284
O. Katkova / 2008 / A sufficient condition for a polynomial to be stable / J. Math. Anal. Appl :81~89
A. Lienard / 1914 / Sur le signe de la partie relle des racines dune quation algebrique / J. Math. Pures Appl 10(4):291~346
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