O polynomech, které mají jen reálné kořeny
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O reálných polynomech 4. stupně
Jan Mařík (1965)
Časopis pro pěstování matematiky
On a class of higher order methods for simultaneous rootfinding of generalized polynomials.
C. Carstensen, Martin Reinders (1993)
Numerische Mathematik
On a converse of Laguerre's theorem.
Craven, Thomas, Csordas, George (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
On A Fourth Order Wronskian Associated With Classical Orthogonal Polynomials
Mrinal Kanti Das (1975)
Publications de l'Institut Mathématique
On a fourth order Wronskian associated with classical orthogonal polynomials.
M.K. Das (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
On Condition Numbers and the Distance to the Nearest Ill-posed Problem.
James Weldon Demmel (1987)
Numerische Mathematik
On convergence of Börsch-Supan's method with Weierstrass' corrections.
Nedić, Jelena (2001)
Novi Sad Journal of Mathematics
On equations and properties concerning some classes of chordal polygons.
Radić, M., Pogány, T.K., Kadum, V. (2003)
Balkan Journal of Geometry and its Applications (BJGA)
On H. Weyl and H. Minkowski polynomials.
Katsnelson, Victor (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
On polynomials of Sheffer type arising from a Cauchy problem.
Meredith, D.G. (2003)
International Journal of Mathematics and Mathematical Sciences
On realizability of sign patterns by real polynomials
Vladimir Kostov (2018)
Czechoslovak Mathematical Journal
The classical Descartes’ rule of signs limits the number of positive roots of a real polynomial in one variable by the number of sign changes in the sequence of its coefficients. One can ask the question which pairs of nonnegative integers , chosen in accordance with this rule and with some other natural conditions, can be the pairs of numbers of positive and negative roots of a real polynomial with prescribed signs of the coefficients. The paper solves this problem for degree polynomials.
On some properties of Hamel bases connected with the continuity of polynomial functions.
Zbigniew Gajda (1984)
Aequationes mathematicae
On stability and the Łojasiewicz exponent at infinity of coercive polynomials
Tomáš Bajbar, Sönke Behrends (2019)
Kybernetika
In this article we analyze the relationship between the growth and stability properties of coercive polynomials. For coercive polynomials we introduce the degree of stable coercivity which measures how stable the coercivity is with respect to small perturbations by other polynomials. We link the degree of stable coercivity to the Łojasiewicz exponent at infinity and we show an explicit relation between them.
On stability of Alexander polynomials of knots and links (survey)
Mikami Hirasawa, Kunio Murasugi (2014)
Banach Center Publications
We study distribution of the zeros of the Alexander polynomials of knots and links in S³. After a brief introduction of various stabilities of multivariate polynomials, we present recent results on stable Alexander polynomials.
On stable polynomials
Miloslav Nekvinda (1989)
Aplikace matematiky
The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
On the convergence of Halley-like method.
Ilić, Snežana, Herceg, Djordje, Petković, Miodrag (1998)
Novi Sad Journal of Mathematics
On the derivative and maximum modulus of a polynomial.
Dewan, K.K., Govil, N.K., Mir, Abdullah, Pukhta, M.S. (2006)
Journal of Inequalities and Applications [electronic only]
On the distribution of the number of real zeros of a random polynomial.
Zaporozhets, D.N. (2004)
Zapiski Nauchnykh Seminarov POMI
On the distribution on the roots of polynomials
Francesco Amoroso, Maurice Mignotte (1996)
Annales de l'institut Fourier
Using classical results on conjugate functions, we give very short proofs of theorems of Erdös–Turán and Blatt concerning the angular distribution of the roots of polynomials. Then we study some examples.
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