On the maximum modulus of a polynomial and its derivatives.
Dewan, K.K., Mir, Abdullah (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations”
On the maximum modulus of a polynomial and its derivatives.
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]
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Stability and local error of difference methods for the solution of the ordinary differential equation of the first order
Petr Voňka (1972)
Aplikace matematiky
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When is the last degree solution of a Bézout identity nonnegative on the interval [-1,1]?
Tim N. T. Goodman, Charles A. Micchelli (2002)
RACSAM
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We give conditions such that the least degree solution of a Bézout identity is nonnegative on the interval [-1,1].
On the paths to the zeros of a polynomial.
Beauzamy, Bernard (1999)
Journal of Inequalities and Applications [electronic only]
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Laguerre-Like Methods for the Simultaneous Approximation of Polynomial Multiple Zeros
Miodrag Petković, Lidija Rančić, Dušan Milošević (2006)
The Yugoslav Journal of Operations Research
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On the guaranteed convergence of the Japanese zero-finding method.
Petković, Miodrag S., Rančić, Lidija, Milošević, Dušan (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Note on the location of the roots of a polynomial
J. L. Walsh (1926)
Mathematische Zeitschrift
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On maximum modulus for the derivative of a polynomial
K. Dewan, Sunil Hans (2009)
Annales UMCS, Mathematica
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If P(z) is a polynomial of degree n, having all its zeros in the disk [...] then it was shown by Govil [Proc. Amer. Math. Soc. 41, no. 2 (1973), 543-546] that [...] In this paper, we obtain generalization as well as improvement of above inequality for the polynomial of the type [...] Also we generalize a result due to Dewan and Mir [Southeast Asian Bull. Math. 31 (2007), 691-695] in this direction.
On the minimal distance of the zeros of a polynomial.
Prešić, Slaviša B. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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On the distribution of the number of real zeros of a random polynomial.
Zaporozhets, D.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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The Fedoryuk Condition and the Łojasiewicz Exponent near a Fibre of a Polynomial
Tomasz Rodak (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give a description of the set of points for which the Fedoryuk condition fails in terms of the Łojasiewicz exponent at infinity near a fibre of a polynomial.
On the Łojasiewicz exponent at infinity of real polynomials
Ha Huy Vui, Pham Tien Son (2008)
Annales Polonici Mathematici
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Let f: ℝⁿ → ℝ be a nonconstant polynomial function. Using the information from the "curve of tangency" of f, we provide a method to determine the Łojasiewicz exponent at infinity of f. As a corollary, we give a computational criterion to decide if the Łojasiewicz exponent at infinity is finite or not. Then we obtain a formula to calculate the set of points at which the polynomial f is not proper. Moreover, a relation between the Łojasiewicz exponent at infinity of f and the problem of...