Note on the location of the roots of a polynomial
J. L. Walsh (1926)
Mathematische Zeitschrift
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Displaying similar documents to “The maximum number of real roots of a multihomogeneous system of polynomial equations.”
Note on the location of the roots of a polynomial
Selected Chapters From Algebra, V. Real Numbers and Polynomials
I. R. Shafarevich (2001)
The Teaching of Mathematics
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Are the coefficients of a polynomial well-conditioned functions of its roots?
Frank Uhlig (1992)
Numerische Mathematik
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Inclusion of the roots of a polynomial based on Gerschgorin's theorem.
C. Carstensen (1991)
Numerische Mathematik
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On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
Intersect a quartic to extract its roots
Raghavendra G. Kulkarni (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this note we present a new method for determining the roots of a quartic polynomial, wherein the curve of the given quartic polynomial is intersected by the curve of a quadratic polynomial (which has two unknown coefficients) at its root point; so the root satisfies both the quartic and the quadratic equations. Elimination of the root term from the two equations leads to an expression in the two unknowns of quadratic polynomial. In addition, we introduce another expression in one...
An extension of the root perturbation -dimensional polynomial factorization method
Nikos E. Mastorakis (1996)
Kybernetika
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On the Real and Imaginary Roots of Algebraical Equations
James Joseph Sylvester
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Remarks on A. B. Turowicz's and Z. Mikołajska's notes on approximations to roots of positive numbers
P. H. Diananda (1964)
Annales Polonici Mathematici
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