POLISH ACADEMY of SCIENCES
TECHNICAL SCIENCES
| BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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| Volume
58, Issue 4, December 2010
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| Issue Index | Authors Index | Scope Index | Web Info | |
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
| pp 625 - 629 |
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Generalization of Vieta's formulae to the fractional polynomials, and generalizations the method of Graeffe-Lobachevsky |
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| S. BIALAS and H. GORECKI |
| Two problems concerning polynomials are considered. For the first problem it is proved that the zeroes of the fractional polynomials of rational order fulfil relations similar to the Vieta's formulae for the polynomials. In the second problem it is presented the iterative method of generalization of the Graeffe-Lobachevsky method to solution of the algebraic equations. |
| Key words: |
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complex polynomials, fractional-order polynomials, fractional-order linear systems, roots of the fractional-order polynomials, formulae similar to Vieta's |
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| Issue Index | Authors Index | Scope Index | Web Info |
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files |
| Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences |
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